Search a number
-
+
131211333330012 = 2232131914756110361
BaseRepresentation
bin11101110101011000000100…
…111010011110010001011100
3122012120200101102101012210200
4131311120010322132101130
5114144231302313030022
61143021353203103500
736431464105135125
oct3565300472362134
9565520342335720
10131211333330012
1138898460aa0961
1212871776071b90
13582a238b64c10
14245893b96504c
151028194217bac
hex775604e9e45c

131211333330012 has 72 divisors (see below), whose sum is σ = 375985692023760. Its totient is φ = 38247838053120.

The previous prime is 131211333329987. The next prime is 131211333330131. The reversal of 131211333330012 is 210033333112131.

131211333330012 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 1 + 13 + 333 + 300 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7378046289 + ... + 7378064072.

It is an arithmetic number, because the mean of its divisors is an integer number (5222023500330).

Almost surely, 2131211333330012 is an apocalyptic number.

131211333330012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131211333330012 is an abundant number, since it is smaller than the sum of its proper divisors (244774358693748).

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

131211333330012 is a wasteful number, since it uses less digits than its factorization.

131211333330012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14756110403 (or 14756110398 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 131211333330012 its reverse (210033333112131), we get a palindrome (341244666442143).

The spelling of 131211333330012 in words is "one hundred thirty-one trillion, two hundred eleven billion, three hundred thirty-three million, three hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 988 1482 2223 2964 4446 8892 14756110361 29512220722 44268331083 59024441444 88536662166 132804993249 177073324332 191829434693 265609986498 280366096859 383658869386 531219972996 560732193718 575488304079 767317738772 841098290577 1121464387436 1150976608158 1682196581154 1726464912237 2301953216316 2523294871731 3364393162308 3452929824474 3644759259167 5046589743462 6905859648948 7289518518334 10093179486924 10934277777501 14579037036668 21868555555002 32802833332503 43737111110004 65605666665006 131211333330012