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100232122321332 = 22338910427811311
BaseRepresentation
bin10110110010100100011100…
…000010111100100110110100
3111010220002121221102012201000
4112302210130002330212310
5101114200341303240312
6553102000141403300
730053350300256661
oct2662443402744664
9433802557365630
10100232122321332
1129a34228005881
12b2a97a6b69530
1343c0b05431c41
141aa7391158a68
15b8c402d43adc
hex5b291c0bc9b4

100232122321332 has 48 divisors (see below), whose sum is σ = 262780845062400. Its totient is φ = 33035306230080.

The previous prime is 100232122321327. The next prime is 100232122321337. The reversal of 100232122321332 is 233123221232001.

100232122321332 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 3 + 2 + 1 + 2 + 2 + 321 + 332 = 666.

It is an interprime number because it is at equal distance from previous prime (100232122321327) and next prime (100232122321337).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 100232122321296 and 100232122321305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100232122321337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5213896044 + ... + 5213915267.

It is an arithmetic number, because the mean of its divisors is an integer number (5474600938800).

Almost surely, 2100232122321332 is an apocalyptic number.

100232122321332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100232122321332 is an abundant number, since it is smaller than the sum of its proper divisors (162548722741068).

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

100232122321332 is a wasteful number, since it uses less digits than its factorization.

100232122321332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10427811413 (or 10427811405 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 100232122321332 its reverse (233123221232001), we get a palindrome (333355343553333).

The spelling of 100232122321332 in words is "one hundred trillion, two hundred thirty-two billion, one hundred twenty-two million, three hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 89 108 178 267 356 534 801 1068 1602 2403 3204 4806 9612 10427811311 20855622622 31283433933 41711245244 62566867866 93850301799 125133735732 187700603598 281550905397 375401207196 563101810794 928075206679 1126203621588 1856150413358 2784225620037 3712300826716 5568451240074 8352676860111 11136902480148 16705353720222 25058030580333 33410707440444 50116061160666 100232122321332