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202120200230031 = 361722373135529
BaseRepresentation
bin101101111101001111000110…
…101111001001010010001111
3222111122111120021102021000000
4231331033012233021102033
5202443014132224330111
61553512423234335343
760400462661031156
oct5575170657112217
9874574507367000
10202120200230031
1159446771849016
121a8042ba12a553
1388a1b12345505
1437ca95425c59d
1518579248c4c56
hexb7d3c6bc948f

202120200230031 has 56 divisors (see below), whose sum is σ = 322306525457280. Its totient is φ = 126251814191616.

The previous prime is 202120200230021. The next prime is 202120200230057. The reversal of 202120200230031 is 130032002021202.

202120200230031 is a `hidden beast` number, since 20 + 212 + 0 + 200 + 230 + 0 + 3 + 1 = 666.

It is not a de Polignac number, because 202120200230031 - 226 = 202120133121167 is a prime.

It is a super-2 number, since 2×2021202002300312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202120200229986 and 202120200230013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202120200230021) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 33804126 + ... + 39331403.

It is an arithmetic number, because the mean of its divisors is an integer number (5755473668880).

Almost surely, 2202120200230031 is an apocalyptic number.

202120200230031 is a deficient number, since it is larger than the sum of its proper divisors (120186325227249).

202120200230031 is an equidigital number, since it uses as much as digits as its factorization.

202120200230031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73135787 (or 73135772 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 202120200230031 its reverse (130032002021202), we get a palindrome (332152202251233).

The spelling of 202120200230031 in words is "two hundred two trillion, one hundred twenty billion, two hundred million, two hundred thirty thousand, thirty-one".

Divisors: 1 3 9 17 27 51 81 153 223 243 459 669 729 1377 2007 3791 4131 6021 11373 12393 18063 34119 54189 102357 162567 307071 921213 2763639 73135529 219406587 658219761 1243303993 1974659283 3729911979 5923977849 11189735937 16309222967 17771933547 33569207811 48927668901 53315800641 100707623433 146783006703 277256790439 302122870299 440349020109 831770371317 906368610897 1321047060327 2495311113951 3963141180981 7485933341853 11889423542943 22457800025559 67373400076677 202120200230031