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100133001332303 = 17294727715601009
BaseRepresentation
bin10110110001001000000111…
…111110011000011001001111
3111010112121210000210020211012
4112301020013332120121033
5101111034341320113203
6552544244334515435
730043241055621452
oct2661100776303117
9433477700706735
10100133001332303
11299a6192876725
12b292543665b7b
1343b4669a7a544
141aa266ab4d499
15b89a50d8bbd8
hex5b1207f9864f

100133001332303 has 32 divisors (see below), whose sum is σ = 112417133817600. Its totient is φ = 88735538110464.

The previous prime is 100133001332281. The next prime is 100133001332323. The reversal of 100133001332303 is 303233100331001.

It is a cyclic number.

It is not a de Polignac number, because 100133001332303 - 220 = 100133000283727 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133001332323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1382138 + ... + 14218871.

It is an arithmetic number, because the mean of its divisors is an integer number (3513035431800).

Almost surely, 2100133001332303 is an apocalyptic number.

100133001332303 is a deficient number, since it is larger than the sum of its proper divisors (12284132485297).

100133001332303 is a wasteful number, since it uses less digits than its factorization.

100133001332303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15601379.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 100133001332303 its reverse (303233100331001), we get a palindrome (403366101663304).

The spelling of 100133001332303 in words is "one hundred trillion, one hundred thirty-three billion, one million, three hundred thirty-two thousand, three hundred three".

Divisors: 1 17 29 47 277 493 799 1363 4709 8033 13019 23171 136561 221323 377551 6418367 15601009 265217153 452429261 733247423 4321479493 7691297437 12465206191 21264175267 73465151381 125322905297 203109536171 361490979539 2130489390049 3452862114907 5890176548959 100133001332303