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10321211231300 = 22523741271251059
BaseRepresentation
bin1001011000110001100000…
…1000010000110001000100
31100112200211221211110210202
42112030120020100301010
52323100320033400200
633541255440310032
72113453143640304
oct226143010206104
940480757743722
1010321211231300
11331a223737342
1211a83a0912318
1359b394589368
1427979936b604
1512d7298761d5
hex96318210c44

10321211231300 has 144 divisors (see below), whose sum is σ = 23650430442240. Its totient is φ = 3904454016000.

The previous prime is 10321211231299. The next prime is 10321211231339. The reversal of 10321211231300 is 313211212301.

It is a happy number.

It is a super-2 number, since 2×103212112313002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40985171 + ... + 41236229.

Almost surely, 210321211231300 is an apocalyptic number.

10321211231300 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 10321211231300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11825215221120).

10321211231300 is an abundant number, since it is smaller than the sum of its proper divisors (13329219210940).

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

10321211231300 is a wasteful number, since it uses less digits than its factorization.

10321211231300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251422 (or 251415 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10321211231300 its reverse (313211212301), we get a palindrome (10634422443601).

The spelling of 10321211231300 in words is "ten trillion, three hundred twenty-one billion, two hundred eleven million, two hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 41 50 74 82 100 148 164 185 205 271 370 410 542 740 820 925 1025 1084 1355 1517 1850 2050 2710 3034 3700 4100 5420 6068 6775 7585 10027 11111 13550 15170 20054 22222 27100 30340 37925 40108 44444 50135 55555 75850 100270 111110 151700 200540 222220 250675 251059 277775 411107 501350 502118 555550 822214 1002700 1004236 1111100 1255295 1644428 2055535 2510590 4111070 5021180 6276475 8222140 9289183 10277675 10293419 12552950 18578366 20555350 20586838 25105900 37156732 41110700 41173676 46445915 51467095 68036989 92891830 102934190 136073978 185783660 205868380 232229575 257335475 272147956 340184945 380856503 464459150 514670950 680369890 761713006 928918300 1029341900 1360739780 1523426012 1700924725 1904282515 2517368593 2789516549 3401849450 3808565030 5034737186 5579033098 6803698900 7617130060 9521412575 10069474372 11158066196 12586842965 13947582745 19042825150 25173685930 27895165490 38085650300 50347371860 55790330980 62934214825 69737913725 103212112313 125868429650 139475827450 206424224626 251736859300 278951654900 412848449252 516060561565 1032121123130 2064242246260 2580302807825 5160605615650 10321211231300