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13100102231232 = 263178594672307
BaseRepresentation
bin1011111010100001101011…
…1100001010010011000000
31201101100122122111202102010
42332220122330022103000
53204113002132344412
643510034234452520
72521310513464212
oct276503274122300
951340578452363
1013100102231232
1141a07a4210715
121576a79894140
137404467100c3
143340968985b2
1517ab6c86733c
hexbea1af0a4c0

13100102231232 has 112 divisors (see below), whose sum is σ = 36742282542720. Its totient is φ = 4105050673152.

The previous prime is 13100102231213. The next prime is 13100102231261. The reversal of 13100102231232 is 23213220100131.

It is a super-2 number, since 2×131001022312322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13100102231199 and 13100102231208.

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, 467623 + ... + 5139929.

Almost surely, 213100102231232 is an apocalyptic number.

13100102231232 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 13100102231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18371141271360).

13100102231232 is an abundant number, since it is smaller than the sum of its proper divisors (23642180311488).

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

13100102231232 is a wasteful number, since it uses less digits than its factorization.

13100102231232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4673198 (or 4673188 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 13100102231232 its reverse (23213220100131), we get a palindrome (36313322331363).

The spelling of 13100102231232 in words is "thirteen trillion, one hundred billion, one hundred two million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 859 1088 1632 1718 2577 3264 3436 5154 6872 10308 13744 14603 20616 27488 29206 41232 43809 54976 58412 82464 87618 116824 164928 175236 233648 350472 467296 700944 934592 1401888 2803776 4672307 9344614 14016921 18689228 28033842 37378456 56067684 74756912 79429219 112135368 149513824 158858438 224270736 238287657 299027648 317716876 448541472 476575314 635433752 897082944 953150628 1270867504 1906301256 2541735008 3812602512 4013511713 5083470016 7625205024 8027023426 12040535139 15250410048 16054046852 24081070278 32108093704 48162140556 64216187408 68229699121 96324281112 128432374816 136459398242 192648562224 204689097363 256864749632 272918796484 385297124448 409378194726 545837592968 770594248896 818756389452 1091675185936 1637512778904 2183350371872 3275025557808 4366700743744 6550051115616 13100102231232