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212013310131 = 32737161956179
BaseRepresentation
bin1100010101110011111…
…0100110000010110011
3202021020120110001220200
43011130332212002303
511433200401411011
6241221513010243
721213613254540
oct3053476460263
9667216401820
10212013310131
1181a06a93987
123510a9b3983
1316cba1640cc
14a3937a5bc7
1557ace73856
hex315cfa60b3

212013310131 has 48 divisors (see below), whose sum is σ = 359677843200. Its totient is φ = 117801221184.

The previous prime is 212013310123. The next prime is 212013310177. The reversal of 212013310131 is 131013310212.

212013310131 is a `hidden beast` number, since 2 + 1 + 201 + 331 + 0 + 131 = 666.

It is not a de Polignac number, because 212013310131 - 23 = 212013310123 is a prime.

It is a super-2 number, since 2×2120133101312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212013310631) 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, 3745800 + ... + 3801978.

It is an arithmetic number, because the mean of its divisors is an integer number (7493288400).

Almost surely, 2212013310131 is an apocalyptic number.

212013310131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212013310131 is a deficient number, since it is larger than the sum of its proper divisors (147664533069).

212013310131 is a wasteful number, since it uses less digits than its factorization.

212013310131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57848 (or 57845 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 212013310131 its reverse (131013310212), we get a palindrome (343026620343).

The spelling of 212013310131 in words is "two hundred twelve billion, thirteen million, three hundred ten thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 1619 2331 4857 11333 14571 33999 56179 59903 101997 168537 179709 393253 419321 505611 539127 1179759 1257963 2078623 3539277 3773889 6235869 14550361 18707607 43651083 90953801 130953249 272861403 636676607 818584209 1910029821 3365290637 5730089463 10095871911 23557034459 30287615733 70671103377 212013310131