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101012586031227 = 31366122211764253
BaseRepresentation
bin10110111101111011010011…
…010011101110100001111011
3111020122201010210120120211110
4112331323103103232201323
5101214442234010444402
6554500312535331403
730163630022325003
oct2675732323564173
9436581123516743
10101012586031227
112a205219470672
12b3b4aba820b63
1344495a4ac0a30
141ad306ca25003
15ba2880e6556c
hex5bded34ee87b

101012586031227 has 32 divisors (see below), whose sum is σ = 145328630767936. Its totient is φ = 62039568729600.

The previous prime is 101012586031207. The next prime is 101012586031261. The reversal of 101012586031227 is 722130685210101.

It is not a de Polignac number, because 101012586031227 - 210 = 101012586030203 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101012586031207) 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, 56373033 + ... + 58137285.

It is an arithmetic number, because the mean of its divisors is an integer number (4541519711498).

Almost surely, 2101012586031227 is an apocalyptic number.

101012586031227 is a deficient number, since it is larger than the sum of its proper divisors (44316044736709).

101012586031227 is a wasteful number, since it uses less digits than its factorization.

101012586031227 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767151.

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 101012586031227 in words is "one hundred one trillion, twelve billion, five hundred eighty-six million, thirty-one thousand, two hundred twenty-seven".

Divisors: 1 3 13 39 661 1983 2221 6663 8593 25779 28873 86619 1468081 1764253 4404243 5292759 19085053 22935289 57255159 68805867 1166171233 3498513699 3918405913 11755217739 15160226029 45480678087 50939276869 152817830607 2590066308493 7770198925479 33670862010409 101012586031227