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202112020220031 = 32311757223742641
BaseRepresentation
bin101101111101000111011111…
…001010111000100001111111
3222111121201110012021200210200
4231331013133022320201333
5202442400404134020111
61553504551424334543
760400053163061415
oct5575073712704177
9874551405250720
10202112020220031
1159443254401479
121a8027b6774453
1388a110a726acc
1437ca3b9ad72b5
1518575e66bd256
hexb7d1df2b887f

202112020220031 has 48 divisors (see below), whose sum is σ = 293403168796608. Its totient is φ = 134067569126400.

The previous prime is 202112020220027. The next prime is 202112020220041. The reversal of 202112020220031 is 130022020211202.

202112020220031 is a `hidden beast` number, since 2 + 0 + 211 + 20 + 202 + 200 + 31 = 666.

It is not a de Polignac number, because 202112020220031 - 22 = 202112020220027 is a prime.

It is a super-2 number, since 2×2021120202200312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202112020219986 and 202112020220013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202112020220041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4739830471 + ... + 4739873111.

It is an arithmetic number, because the mean of its divisors is an integer number (6112566016596).

Almost surely, 2202112020220031 is an apocalyptic number.

202112020220031 is a deficient number, since it is larger than the sum of its proper divisors (91291148576577).

202112020220031 is a wasteful number, since it uses less digits than its factorization.

202112020220031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45952 (or 45949 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 202112020220031 its reverse (130022020211202), we get a palindrome (332134040431233).

The spelling of 202112020220031 in words is "two hundred two trillion, one hundred twelve billion, twenty million, two hundred twenty thousand, thirty-one".

Divisors: 1 3 9 311 757 933 2237 2271 2799 6711 6813 20133 42641 127923 235427 383769 695707 706281 1693409 2087121 2118843 5080227 6261363 13261351 15240681 32279237 39784053 95387917 96837711 119352159 286163751 290513133 526650199 858491253 1579950597 4739851791 10038842707 29665642187 30116528121 72208653169 88996926561 90349584363 216625959507 266990779683 649877878521 22456891135559 67370673406677 202112020220031