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100232200122120 = 2332511232414566329
BaseRepresentation
bin10110110010100100100000…
…101011101110111100001000
3111010220002211100210220022200
4112302210200223232330020
5101114201021212401440
6553102012001120200
730053352233463303
oct2662444053567410
9433802740726280
10100232200122120
1129a34267a14750
12b2a9809029060
1343c0b185a2301
141aa739b60bb3a
15b8c409ab0c30
hex5b2920aeef08

100232200122120 has 384 divisors, whose sum is σ = 372358274745600. Its totient is φ = 23145803366400.

The previous prime is 100232200122107. The next prime is 100232200122133. The reversal of 100232200122120 is 21221002232001.

100232200122120 is a `hidden beast` number, since 10 + 0 + 232 + 200 + 1 + 221 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (100232200122107) and next prime (100232200122133).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100232200122093 and 100232200122102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19667116 + ... + 24233444.

It is an arithmetic number, because the mean of its divisors is an integer number (969683007150).

Almost surely, 2100232200122120 is an apocalyptic number.

100232200122120 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 100232200122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186179137372800).

100232200122120 is an abundant number, since it is smaller than the sum of its proper divisors (272126074623480).

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

100232200122120 is a wasteful number, since it uses less digits than its factorization.

100232200122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4566621 (or 4566614 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100232200122120 its reverse (21221002232001), we get a palindrome (121453202354121).

The spelling of 100232200122120 in words is "one hundred trillion, two hundred thirty-two billion, two hundred million, one hundred twenty-two thousand, one hundred twenty".