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101990323677 = 31122329894733
BaseRepresentation
bin101111011111100011…
…0001101010111011101
3100202020212210021001110
41132333012031113131
53132334010324202
6114504222332233
710240262306304
oct1367706152735
9322225707043
10101990323677
113a287973800
121792442a079
139804c79668
144d1751b43b
1529bdd3a26c
hex17bf18d5dd

101990323677 has 96 divisors (see below), whose sum is σ = 163198022400. Its totient is φ = 56432696320.

The previous prime is 101990323579. The next prime is 101990323691. The reversal of 101990323677 is 776323099101.

It is a happy number.

It is not a de Polignac number, because 101990323677 - 218 = 101990061533 is a prime.

It is a super-2 number, since 2×1019903236772 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101990323697) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21546403 + ... + 21551135.

It is an arithmetic number, because the mean of its divisors is an integer number (1699979400).

Almost surely, 2101990323677 is an apocalyptic number.

It is an amenable number.

101990323677 is a deficient number, since it is larger than the sum of its proper divisors (61207698723).

101990323677 is a wasteful number, since it uses less digits than its factorization.

101990323677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4899 (or 4888 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 48.

The spelling of 101990323677 in words is "one hundred one billion, nine hundred ninety million, three hundred twenty-three thousand, six hundred seventy-seven".

Divisors: 1 3 11 23 29 33 69 87 89 121 253 267 319 363 667 759 957 979 2001 2047 2581 2783 2937 3509 4733 6141 7337 7743 8349 10527 10769 14199 22011 22517 28391 32307 52063 59363 67551 80707 85173 108859 137257 156189 178089 242121 247687 312301 326577 411771 421237 572693 652993 743061 936903 1197449 1263711 1509827 1718079 1958979 3156911 3592347 4529481 4633607 7182923 9470733 9688451 12215873 13171939 13900821 16608097 21548769 29065353 34726021 36647619 39515817 49824291 50969677 104178063 106572961 134374603 152909031 280965079 319718883 381986231 403123809 842895237 1145958693 1172302571 1478120633 3090615869 3516907713 4434361899 9271847607 33996774559 101990323677