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134630023100 = 225241131367683
BaseRepresentation
bin111110101100010010…
…0110001111110111100
3110212111121010210021212
41331120210301332330
54201210241214400
6141503112343552
712504154212656
oct1753044617674
9425447123255
10134630023100
1152107158001
12221133a4bb8
13c9071a4481
14673237d6d6
15377e587335
hex1f58931fbc

134630023100 has 144 divisors (see below), whose sum is σ = 302821618176. Its totient is φ = 51919296000.

The previous prime is 134630023079. The next prime is 134630023103. The reversal of 134630023100 is 1320036431.

It is a super-2 number, since 2×1346300231002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134630023103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197115359 + ... + 197116041.

It is an arithmetic number, because the mean of its divisors is an integer number (2102927904).

Almost surely, 2134630023100 is an apocalyptic number.

134630023100 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 134630023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151410809088).

134630023100 is an abundant number, since it is smaller than the sum of its proper divisors (168191595076).

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

134630023100 is a wasteful number, since it uses less digits than its factorization.

134630023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 134630023100 its reverse (1320036431), we get a palindrome (135950059531).

The spelling of 134630023100 in words is "one hundred thirty-four billion, six hundred thirty million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 131 164 205 262 367 410 524 655 683 734 820 1025 1310 1366 1468 1835 2050 2620 2732 3275 3415 3670 4100 5371 6550 6830 7340 9175 10742 13100 13660 15047 17075 18350 21484 26855 28003 30094 34150 36700 48077 53710 56006 60188 68300 75235 89473 96154 107420 112012 134275 140015 150470 178946 192308 240385 250661 268550 280030 300940 357892 376175 447365 480770 501322 537100 560060 700075 752350 894730 961540 1002644 1201925 1253305 1400150 1504700 1789460 1971157 2236825 2403850 2506610 2800300 3668393 3942314 4473650 4807700 5013220 6266525 7336786 7884628 8947300 9855785 10277101 12533050 14673572 18341965 19711570 20554202 25066100 32836591 36683930 39423140 41108404 49278925 51385505 65673182 73367860 91709825 98557850 102771010 131346364 164182955 183419650 197115700 205542020 256927525 328365910 366839300 513855050 656731820 820914775 1027710100 1346300231 1641829550 2692600462 3283659100 5385200924 6731501155 13463002310 26926004620 33657505775 67315011550 134630023100