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100223104131432 = 233223531141909399
BaseRepresentation
bin10110110010011100000010…
…100001010010000101101000
3111010212020100110002200211200
4112302130002201102011220
5101114023404124201212
6553053505230324200
730052610644026102
oct2662340241220550
9433766313080750
10100223104131432
1129a3041a520277
12b2a7aaa959660
1343bccc8c833b9
141aa6b7756a572
15b8c0762726dc
hex5b2702852168

100223104131432 has 96 divisors (see below), whose sum is σ = 288583343568000. Its totient is φ = 31352264431488.

The previous prime is 100223104131427. The next prime is 100223104131443. The reversal of 100223104131432 is 234131401322001.

100223104131432 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 2 + 310 + 4 + 1 + 314 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 100223104131396 and 100223104131405.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 570866932 + ... + 571042467.

It is an arithmetic number, because the mean of its divisors is an integer number (3006076495500).

Almost surely, 2100223104131432 is an apocalyptic number.

100223104131432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100223104131432 is an abundant number, since it is smaller than the sum of its proper divisors (188360239436568).

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

100223104131432 is a wasteful number, since it uses less digits than its factorization.

100223104131432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141909487 (or 1141909480 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 100223104131432 its reverse (234131401322001), we get a palindrome (334354505453433).

The spelling of 100223104131432 in words is "one hundred trillion, two hundred twenty-three billion, one hundred four million, one hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 53 69 72 92 106 138 159 184 207 212 276 318 414 424 477 552 636 828 954 1219 1272 1656 1908 2438 3657 3816 4876 7314 9752 10971 14628 21942 29256 43884 87768 1141909399 2283818798 3425728197 4567637596 6851456394 9135275192 10277184591 13702912788 20554369182 26263916177 27405825576 41108738364 52527832354 60521198147 78791748531 82217476728 105055664708 121042396294 157583497062 181563594441 210111329416 236375245593 242084792588 315166994124 363127188882 472750491186 484169585176 544690783323 630333988248 726254377764 945500982372 1089381566646 1391987557381 1452508755528 1891001964744 2178763133292 2783975114762 4175962672143 4357526266584 5567950229524 8351925344286 11135900459048 12527888016429 16703850688572 25055776032858 33407701377144 50111552065716 100223104131432