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131141212013214 = 232131675467361381
BaseRepresentation
bin11101110100010110110001…
…010110111000001010011110
3122012022222101112202020120100
4131310112301112320022132
5114142104200233410324
61142525235140001530
736423432325601154
oct3564266126701236
9565288345666510
10131141212013214
1138870748378777
12128600666902a6
1358237425521a0
1424553a8bad3d4
15102643d1414c9
hex7745b15b829e

131141212013214 has 96 divisors (see below), whose sum is σ = 307839119200704. Its totient is φ = 40108131486720.

The previous prime is 131141212013179. The next prime is 131141212013219. The reversal of 131141212013214 is 412310212141131.

131141212013214 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 412 + 1 + 20 + 13 + 214 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131141212013219) 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, 2136480804 + ... + 2136542184.

It is an arithmetic number, because the mean of its divisors is an integer number (3206657491674).

Almost surely, 2131141212013214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131141212013214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153919559600352).

131141212013214 is an abundant number, since it is smaller than the sum of its proper divisors (176697907187490).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131141212013214 is a wasteful number, since it uses less digits than its factorization.

131141212013214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116242 (or 116239 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 131141212013214 its reverse (412310212141131), we get a palindrome (543451424154345).

The spelling of 131141212013214 in words is "one hundred thirty-one trillion, one hundred forty-one billion, two hundred twelve million, thirteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 167 234 334 501 1002 1503 2171 3006 4342 6513 13026 19539 39078 54673 61381 109346 122762 164019 184143 328038 368286 492057 552429 710749 797953 984114 1104858 1421498 1595906 2132247 2393859 4264494 4787718 6396741 7181577 9130391 10250627 12793482 14363154 18260782 20501254 27391173 30751881 54782346 61503762 82173519 92255643 118695083 133258151 164347038 184511286 237390166 266516302 356085249 399774453 712170498 799548906 1068255747 1199323359 2136511494 2398646718 3355883413 6711766826 10067650239 20135300478 30202950717 43626484369 60405901434 87252968738 130879453107 261758906214 392638359321 560432529971 785276718642 1120865059942 1681297589913 3362595179826 5043892769739 7285622889623 10087785539478 14571245779246 21856868668869 43713737337738 65570606006607 131141212013214