Search a number
-
+
100616551656551 = 7229131540510401
BaseRepresentation
bin10110111000001010011101…
…110100011110110001100111
3111012020211220111000212002122
4112320022131310132301213
5101142000144211002201
6553554334500300155
730123206642561600
oct2670123564366147
9435224814025078
10100616551656551
112a072270384277
12b3501b36a165b
13441b13bc29b68
141abbc1d3c8da7
15b974027a1e1b
hex5b829dd1ec67

100616551656551 has 24 divisors (see below), whose sum is σ = 122004007939440. Its totient is φ = 82633229952000.

The previous prime is 100616551656547. The next prime is 100616551656553. The reversal of 100616551656551 is 155656155616001.

It is not a de Polignac number, because 100616551656551 - 22 = 100616551656547 is a prime.

It is a super-2 number, since 2×1006165516565512 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100616551656493 and 100616551656502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100616551656553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270069050 + ... + 270441351.

It is an arithmetic number, because the mean of its divisors is an integer number (5083500330810).

Almost surely, 2100616551656551 is an apocalyptic number.

100616551656551 is a deficient number, since it is larger than the sum of its proper divisors (21387456282889).

100616551656551 is a wasteful number, since it uses less digits than its factorization.

100616551656551 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540510575 (or 540510568 counting only the distinct ones).

The product of its (nonzero) digits is 4050000, while the sum is 53.

The spelling of 100616551656551 in words is "one hundred trillion, six hundred sixteen billion, five hundred fifty-one million, six hundred fifty-six thousand, five hundred fifty-one".

Divisors: 1 7 29 49 131 203 917 1421 3799 6419 26593 186151 540510401 3783572807 15674801629 26485009649 70806862531 109723611403 495648037717 768065279821 2053399013399 3469536264019 14373793093793 100616551656551