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105141252417041 = 1607273123957173
BaseRepresentation
bin10111111010000000011011…
…000000000110011000010001
3111210021101221122202220122102
4113322000123000012120101
5102240113241104321131
61011341120300450145
731101130151504351
oct2772003300063021
9453241848686572
10105141252417041
1130557177a65285
12b9610b4849955
134688a153b6c69
141bd6c1427cb61
15c24e72b541cb
hex5fa01b006611

105141252417041 has 8 divisors (see below), whose sum is σ = 105245206983744. Its totient is φ = 105037345773360.

The previous prime is 105141252417013. The next prime is 105141252417053. The reversal of 105141252417041 is 140714252141501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105141252417041 - 238 = 104866374510097 is a prime.

It is a super-2 number, since 2×1051412524170412 (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 = 105141252416986 and 105141252417004.

It is not an unprimeable number, because it can be changed into a prime (105141252417241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7589870 + ... + 16367303.

It is an arithmetic number, because the mean of its divisors is an integer number (13155650872968).

Almost surely, 2105141252417041 is an apocalyptic number.

It is an amenable number.

105141252417041 is a deficient number, since it is larger than the sum of its proper divisors (103954566703).

105141252417041 is a wasteful number, since it uses less digits than its factorization.

105141252417041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23961511.

The product of its (nonzero) digits is 44800, while the sum is 38.

The spelling of 105141252417041 in words is "one hundred five trillion, one hundred forty-one billion, two hundred fifty-two million, four hundred seventeen thousand, forty-one".

Divisors: 1 1607 2731 4388717 23957173 38499177011 65427039463 105141252417041