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20132431002112 = 291113833312929
BaseRepresentation
bin1001001001111011100100…
…11001011111101000000000
32122021122022201202110020211
410210331302121133220000
510114322204314031422
6110452413334043504
74145343256663642
oct444756231375000
978248281673224
1020132431002112
1164621304a4020
1223119724a9594
13b30631a0a350
144d85b4536892
1524da56346577
hex124f7265fa00

20132431002112 has 160 divisors (see below), whose sum is σ = 47827365727680. Its totient is φ = 8345398149120.

The previous prime is 20132431002109. The next prime is 20132431002181. The reversal of 20132431002112 is 21120013423102.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4420464 + ... + 7733392.

It is an arithmetic number, because the mean of its divisors is an integer number (298921035798).

Almost surely, 220132431002112 is an apocalyptic number.

20132431002112 is a gapful number since it is divisible by the number (22) 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 20132431002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23913682863840).

20132431002112 is an abundant number, since it is smaller than the sum of its proper divisors (27694934725568).

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

20132431002112 is a wasteful number, since it uses less digits than its factorization.

20132431002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313054 (or 3313038 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 20132431002112 its reverse (21120013423102), we get a palindrome (41252444425214).

The spelling of 20132431002112 in words is "twenty trillion, one hundred thirty-two billion, four hundred thirty-one million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 83 88 104 128 143 166 176 208 256 286 332 352 416 512 572 664 704 832 913 1079 1144 1328 1408 1664 1826 2158 2288 2656 2816 3328 3652 4316 4576 5312 5632 6656 7304 8632 9152 10624 11869 14608 17264 18304 21248 23738 29216 34528 36608 42496 47476 58432 69056 73216 94952 116864 138112 189904 233728 276224 379808 467456 552448 759616 1519232 3038464 3312929 6076928 6625858 13251716 26503432 36442219 43068077 53006864 72884438 86136154 106013728 145768876 172272308 212027456 274973107 291537752 344544616 424054912 473748847 549946214 583075504 689089232 848109824 947497694 1099892428 1166151008 1378178464 1696219648 1894995388 2199784856 2332302016 2756356928 3024704177 3574650391 3789990776 4399569712 4664604032 5512713856 6049408354 7149300782 7579981552 8799139424 9329208064 11025427712 12098816708 14298601564 15159963104 17598278848 18658416128 22050855424 24197633416 28597203128 30319926208 35196557696 39321154301 48395266832 57194406256 60639852416 70393115392 78642308602 96790533664 114388812512 121279704832 140786230784 157284617204 193581067328 228777625024 242559409664 314569234408 387162134656 457555250048 629138468816 774324269312 915110500096 1258276937632 1548648538624 1830221000192 2516553875264 5033107750528 10066215501056 20132431002112