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32423130202112 = 21513557136649
BaseRepresentation
bin1110101111101000110010…
…01010001000000000000000
311020210121202200122222202022
413113310121022020000000
513222210032312431422
6152542551432541012
76554331251306666
oct727643112100000
9136717680588668
1032423130202112
11a370632803451
1237779a0851768
13151264635a580
14801405d00c36
153b360012d342
hex1d7d19288000

32423130202112 has 128 divisors (see below), whose sum is σ = 69959254743000. Its totient is φ = 14937546031104.

The previous prime is 32423130202091. The next prime is 32423130202121. The reversal of 32423130202112 is 21120203132423.

It can be written as a sum of positive squares in 4 ways, for example, as 24067423092736 + 8355707109376 = 4905856^2 + 2890624^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237204764 + ... + 237341412.

Almost surely, 232423130202112 is an apocalyptic number.

32423130202112 is a gapful number since it is divisible by the number (32) 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 32423130202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34979627371500).

32423130202112 is an abundant number, since it is smaller than the sum of its proper divisors (37536124540888).

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

32423130202112 is an equidigital number, since it uses as much as digits as its factorization.

32423130202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137249 (or 137221 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 32423130202112 its reverse (21120203132423), we get a palindrome (53543333334535).

The spelling of 32423130202112 in words is "thirty-two trillion, four hundred twenty-three billion, one hundred thirty million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 557 832 1024 1114 1664 2048 2228 3328 4096 4456 6656 7241 8192 8912 13312 14482 16384 17824 26624 28964 32768 35648 53248 57928 71296 106496 115856 136649 142592 212992 231712 273298 285184 425984 463424 546596 570368 926848 1093192 1140736 1776437 1853696 2186384 2281472 3552874 3707392 4372768 4562944 7105748 7414784 8745536 9125888 14211496 14829568 17491072 18251776 28422992 29659136 34982144 56845984 59318272 69964288 76113493 113691968 118636544 139928576 152226986 227383936 237273088 279857152 304453972 454767872 559714304 608907944 909535744 989475409 1119428608 1217815888 1819071488 1978950818 2238857216 2435631776 3638142976 3957901636 4477714432 4871263552 7276285952 7915803272 9742527104 14552571904 15831606544 19485054208 29105143808 31663213088 38970108416 58210287616 63326426176 77940216832 126652852352 155880433664 253305704704 311760867328 506611409408 623521734656 1013222818816 1247043469312 2026445637632 2494086938624 4052891275264 8105782550528 16211565101056 32423130202112