Search a number
-
+
131230113012 = 22343133913853
BaseRepresentation
bin111101000110111101…
…1001001110011110100
3110112201122121110110000
41322031323021303310
54122224402104022
6140141500431300
712324001361445
oct1721573116364
9415648543400
10131230113012
1150721a83259
1221524848530
13c4b49b055b
1464cc9d72cc
153630d4b6ac
hex1e8dec9cf4

131230113012 has 120 divisors (see below), whose sum is σ = 354324303872. Its totient is φ = 42308827200.

The previous prime is 131230112963. The next prime is 131230113023. The reversal of 131230113012 is 210311032131.

131230113012 is a `hidden beast` number, since 131 + 230 + 1 + 1 + 301 + 2 = 666.

It is a super-2 number, since 2×1312301130122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34057278 + ... + 34061130.

Almost surely, 2131230113012 is an apocalyptic number.

131230113012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131230113012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177162151936).

131230113012 is an abundant number, since it is smaller than the sum of its proper divisors (223094190860).

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

131230113012 is a wasteful number, since it uses less digits than its factorization.

131230113012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7291 (or 7280 counting only the distinct ones).

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

Adding to 131230113012 its reverse (210311032131), we get a palindrome (341541145143).

The spelling of 131230113012 in words is "one hundred thirty-one billion, two hundred thirty million, one hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 837 1116 1674 2511 3348 3391 3853 5022 6782 7706 10044 10173 11559 13564 15412 20346 23118 30519 34677 40692 46236 61038 69354 91557 104031 105121 119443 122076 138708 183114 208062 210242 238886 274671 312093 315363 358329 366228 416124 420484 477772 549342 624186 630726 716658 946089 1074987 1098684 1248372 1261452 1433316 1892178 2149974 2838267 3224961 3784356 4299948 5676534 6449922 8514801 9674883 11353068 12899844 13065523 17029602 19349766 26131046 34059204 38699532 39196569 52262092 78393138 117589707 156786276 235179414 352769121 405031213 470358828 705538242 810062426 1058307363 1215093639 1411076484 1620124852 2116614726 2430187278 3645280917 4233229452 4860374556 7290561834 10935842751 14581123668 21871685502 32807528253 43743371004 65615056506 131230113012