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10325234134000 = 245337151924041
BaseRepresentation
bin1001011001000000011111…
…1010011010101111110000
31100120002020022122002212001
42112100013322122233300
52323132034414242000
633543202545143344
72113654633022512
oct226200772325760
940502208562761
1010325234134000
1133209a8543715
1211a912402ab54
1359b885b69466
14279a5b763bb2
1512d8b2b2246a
hex96407e9abf0

10325234134000 has 160 divisors (see below), whose sum is σ = 25811021238912. Its totient is φ = 3991852800000.

The previous prime is 10325234133989. The next prime is 10325234134043. The reversal of 10325234134000 is 43143252301.

It is a happy number.

10325234134000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×103252341340003 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10325234134000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10711980 + ... + 11636020.

Almost surely, 210325234134000 is an apocalyptic number.

10325234134000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10325234134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12905510619456).

10325234134000 is an abundant number, since it is smaller than the sum of its proper divisors (15485787104912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10325234134000 is a wasteful number, since it uses less digits than its factorization.

10325234134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924252 (or 924236 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 10325234134000 its reverse (43143252301), we get a palindrome (10368377386301).

The spelling of 10325234134000 in words is "ten trillion, three hundred twenty-five billion, two hundred thirty-four million, one hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 125 148 151 185 200 250 296 302 370 400 500 592 604 740 755 925 1000 1208 1480 1510 1850 2000 2416 2960 3020 3700 3775 4625 5587 6040 7400 7550 9250 11174 12080 14800 15100 18500 18875 22348 27935 30200 37000 37750 44696 55870 60400 74000 75500 89392 111740 139675 151000 223480 279350 302000 446960 558700 698375 924041 1117400 1396750 1848082 2234800 2793500 3696164 4620205 5587000 7392328 9240410 11174000 14784656 18480820 23101025 34189517 36961640 46202050 68379034 73923280 92404100 115505125 136758068 139530191 170947585 184808200 231010250 273516136 279060382 341895170 369616400 462020500 547032272 558120764 683790340 697650955 854737925 924041000 1116241528 1367580680 1395301910 1709475850 1848082000 2232483056 2735161360 2790603820 3418951700 3488254775 4273689625 5162617067 5581207640 6837903400 6976509550 8547379250 10325234134 11162415280 13675806800 13953019100 17094758500 17441273875 20650468268 25813085335 27906038200 34189517000 34882547750 41300936536 51626170670 55812076400 68379034000 69765095500 82601873072 103252341340 129065426675 139530191000 206504682680 258130853350 279060382000 413009365360 516261706700 645327133375 1032523413400 1290654266750 2065046826800 2581308533500 5162617067000 10325234134000