Search a number
-
+
231231033122112 = 2633197042855541
BaseRepresentation
bin110100100100110110101011…
…100101110001110101000000
31010022201110201021022212112000
4310210312223211301311000
5220301442123434401422
62135442023052504000
766463614362630532
oct6444665345616500
91108643637285460
10231231033122112
116774a592020451
1221b2615917b000
139c03cba41417a
1441158dac33852
151baecb3202cac
hexd24dab971d40

231231033122112 has 112 divisors (see below), whose sum is σ = 715554123067200. Its totient is φ = 73020326238720.

The previous prime is 231231033122087. The next prime is 231231033122137. The reversal of 231231033122112 is 211221330132132.

231231033122112 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 310 + 3 + 312 + 21 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (231231033122087) and next prime (231231033122137).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3521394939 + ... + 3521460602.

Almost surely, 2231231033122112 is an apocalyptic number.

It is an amenable number.

231231033122112 is an abundant number, since it is smaller than the sum of its proper divisors (484323089945088).

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

231231033122112 is a wasteful number, since it uses less digits than its factorization.

231231033122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7042855581 (or 7042855565 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 231231033122112 its reverse (211221330132132), we get a palindrome (442452363254244).

The spelling of 231231033122112 in words is "two hundred thirty-one trillion, two hundred thirty-one billion, thirty-three million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 864 912 1026 1216 1368 1728 1824 2052 2736 3648 4104 5472 8208 10944 16416 32832 7042855541 14085711082 21128566623 28171422164 42257133246 56342844328 63385699869 84514266492 112685688656 126771399738 133814255279 169028532984 190157099607 225371377312 253542799476 267628510558 338057065968 380314199214 401442765837 450742754624 507085598952 535257021116 676114131936 760628398428 802885531674 1014171197904 1070514042232 1204328297511 1352228263872 1521256796856 1605771063348 2028342395808 2141028084464 2408656595022 3042513593712 3211542126696 3612984892533 4056684791616 4282056168928 4817313190044 6085027187424 6423084253392 7225969785066 8564112337856 9634626380088 12170054374848 12846168506784 14451939570132 19269252760176 25692337013568 28903879140264 38538505520352 57807758280528 77077011040704 115615516561056 231231033122112