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202112020001021 = 13101521295453877
BaseRepresentation
bin101101111101000111011111…
…001010000011000011111101
3222111121201110011212120101012
4231331013133022003003331
5202442400404110013041
61553504551415525005
760400053161160044
oct5575073712030375
9874551404776335
10202112020001021
1159443254271979
121a8027b6689765
1388a110a67b210
1437ca3b9a7b55b
1518575e66783eb
hexb7d1df2830fd

202112020001021 has 16 divisors (see below), whose sum is σ = 220236047923248. Its totient is φ = 184363218624000.

The previous prime is 202112020000963. The next prime is 202112020001039. The reversal of 202112020001021 is 120100020211202.

It can be written as a sum of positive squares in 8 ways, for example, as 23893658476996 + 178218361524025 = 4888114^2 + 13349845^2 .

It is a de Polignac number, because none of the positive numbers 2k-202112020001021 is a prime.

It is a super-2 number, since 2×2021120200010212 (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 = 202112020000987 and 202112020001005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202112020003021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147042866 + ... + 148411011.

It is an arithmetic number, because the mean of its divisors is an integer number (13764752995203).

Almost surely, 2202112020001021 is an apocalyptic number.

It is an amenable number.

202112020001021 is a deficient number, since it is larger than the sum of its proper divisors (18124027922227).

202112020001021 is a wasteful number, since it uses less digits than its factorization.

202112020001021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295454512.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 202112020001021 its reverse (120100020211202), we get a palindrome (322212040212223).

The spelling of 202112020001021 in words is "two hundred two trillion, one hundred twelve billion, twenty million, one thousand, twenty-one".

Divisors: 1 13 101 521 1313 6773 52621 684073 295453877 3840900401 29840841577 153931469917 387930940501 2001109108921 15547078461617 202112020001021