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101075750361642 = 23731106663727817
BaseRepresentation
bin10110111110110110001000…
…001100100001101000101010
3111020212202011211102000212110
4112332312020030201220222
5101222011114043033032
6554545320402223150
730201324214301550
oct2676661014415052
9436782154360773
10101075750361642
112a229a92048a31
12b4051a8354ab6
13445252ccaac84
141ad6141859bd0
15ba432b3bc7cc
hex5bed88321a2a

101075750361642 has 64 divisors (see below), whose sum is σ = 238485439954944. Its totient is φ = 27946911669120.

The previous prime is 101075750361571. The next prime is 101075750361643. The reversal of 101075750361642 is 246163057570101.

It is a super-2 number, since 2×1010757503616422 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101075750361591 and 101075750361600.

It is not an unprimeable number, because it can be changed into a prime (101075750361643) 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, 138511318 + ... + 139239134.

It is an arithmetic number, because the mean of its divisors is an integer number (3726334999296).

Almost surely, 2101075750361642 is an apocalyptic number.

101075750361642 is an abundant number, since it is smaller than the sum of its proper divisors (137409689593302).

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

101075750361642 is a wasteful number, since it uses less digits than its factorization.

101075750361642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834523.

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 101075750361642 in words is "one hundred one trillion, seventy-five billion, seven hundred fifty million, three hundred sixty-one thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 434 651 1302 106663 213326 319989 639978 727817 746641 1455634 1493282 2183451 2239923 3306553 4366902 4479846 5094719 6613106 9919659 10189438 15284157 19839318 22562327 23145871 30568314 45124654 46291742 67686981 69437613 135373962 138875226 157936289 315872578 473808867 947617734 77631144671 155262289342 232893434013 465786868026 543418012697 1086836025394 1630254038091 2406565484801 3260508076182 4813130969602 7219696454403 14439392908806 16845958393607 33691916787214 50537875180821 101075750361642