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105141505156503 = 31019310399330643
BaseRepresentation
bin10111111010000000101010…
…000100001110010110010111
3111210021102121021100102000020
4113322000222010032112113
5102240114300310002003
61011341201325520223
731101136340656164
oct2772005204162627
9453242537312006
10105141505156503
113055729769a172
12b961165413073
134688a5587853a
141bd6c39a6d06b
15c24e89e29d53
hex5fa02a10e597

105141505156503 has 16 divisors (see below), whose sum is σ = 140216333337600. Its totient is φ = 70080508278144.

The previous prime is 105141505156489. The next prime is 105141505156549. The reversal of 105141505156503 is 305651505141501.

It is a happy number.

It is not a de Polignac number, because 105141505156503 - 29 = 105141505155991 is a prime.

It is a super-2 number, since 2×1051415051565032 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105141505156403) 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, 317825700 + ... + 318156342.

It is an arithmetic number, because the mean of its divisors is an integer number (8763520833600).

Almost surely, 2105141505156503 is an apocalyptic number.

105141505156503 is a deficient number, since it is larger than the sum of its proper divisors (35074828181097).

105141505156503 is a wasteful number, since it uses less digits than its factorization.

105141505156503 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351238.

The product of its (nonzero) digits is 225000, while the sum is 42.

The spelling of 105141505156503 in words is "one hundred five trillion, one hundred forty-one billion, five hundred five million, one hundred fifty-six thousand, five hundred three".

Divisors: 1 3 10193 10399 30579 31197 330643 991929 105997007 317991021 3370244099 3438356557 10110732297 10315069671 35047168385501 105141505156503