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101827095942 = 231113373931741
BaseRepresentation
bin101111011010101011…
…1100010110110000110
3100201211111122102200210
41132311113202312012
53132020214032232
6114440112020250
710233241014555
oct1366527426606
9321744572623
10101827095942
113a203817350
1217899831686
1397aa1c89c0
144cdd98bd9c
1529ae8465cc
hex17b55e2d86

101827095942 has 64 divisors (see below), whose sum is σ = 239329601280. Its totient is φ = 28474588800.

The previous prime is 101827095919. The next prime is 101827096031. The reversal of 101827095942 is 249590728101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101827095891 and 101827095900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3192192 + ... + 3223932.

It is an arithmetic number, because the mean of its divisors is an integer number (3739525020).

Almost surely, 2101827095942 is an apocalyptic number.

101827095942 is an abundant number, since it is smaller than the sum of its proper divisors (137502505338).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101827095942 is a wasteful number, since it uses less digits than its factorization.

101827095942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35509.

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 101827095942 in words is "one hundred one billion, eight hundred twenty-seven million, ninety-five thousand, nine hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 3739 7478 11217 22434 31741 41129 48607 63482 82258 95223 97214 123387 145821 190446 246774 291642 349151 412633 534677 698302 825266 1047453 1069354 1237899 1604031 2094906 2475798 3208062 4538963 9077926 13616889 27233778 118679599 237359198 356038797 712077594 1305475589 1542834787 2610951178 3085669574 3916426767 4628504361 7832853534 9257008722 16971182657 33942365314 50913547971 101827095942