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20202131113101 = 337711505487079
BaseRepresentation
bin1001001011111101011001…
…10110010100010010001101
32122112022020020210221202000
410211332230312110102031
510121442431031104401
6110544421513222513
74153361433105420
oct445765466242215
978468206727660
1020202131113101
116489748388033
122323384a01a39
13b3708bc95582
144dbb073a79b7
1525078546b186
hex125facd9448d

20202131113101 has 32 divisors (see below), whose sum is σ = 34686422323200. Its totient is φ = 11381482309680.

The previous prime is 20202131113091. The next prime is 20202131113117. The reversal of 20202131113101 is 10131113120202.

20202131113101 is a `hidden beast` number, since 2 + 0 + 20 + 21 + 311 + 1 + 310 + 1 = 666.

It is not a de Polignac number, because 20202131113101 - 211 = 20202131111053 is a prime.

It is a super-2 number, since 2×202021311131012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20202131113201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 752730121 + ... + 752756958.

It is an arithmetic number, because the mean of its divisors is an integer number (1083950697600).

Almost surely, 220202131113101 is an apocalyptic number.

20202131113101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20202131113101 is a deficient number, since it is larger than the sum of its proper divisors (14484291210099).

20202131113101 is a wasteful number, since it uses less digits than its factorization.

20202131113101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505487166 (or 1505487160 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 20202131113101 its reverse (10131113120202), we get a palindrome (30333244233303).

The spelling of 20202131113101 in words is "twenty trillion, two hundred two billion, one hundred thirty-one million, one hundred thirteen thousand, one hundred one".

Divisors: 1 3 7 9 21 27 63 71 189 213 497 639 1491 1917 4473 13419 1505487079 4516461237 10538409553 13549383711 31615228659 40648151133 94845685977 106889582609 284537057931 320668747827 748227078263 962006243481 2244681234789 2886018730443 6734043704367 20202131113101