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1102130112132 = 223273180149559
BaseRepresentation
bin10000000010011100000…
…100101110011010000100
310220100210100020200020200
4100002130010232122010
5121024130302042012
62202151145130500
7142424545245000
oct20023404563204
93810710220220
101102130112132
11395457796845
12159725189a30
137cc131aa15a
143b4b4351700
151da079b53dc
hex1009c12e684

1102130112132 has 144 divisors (see below), whose sum is σ = 3250779168000. Its totient is φ = 314713123200.

The previous prime is 1102130112101. The next prime is 1102130112157. The reversal of 1102130112132 is 2312110312011.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22213969 + ... + 22263527.

Almost surely, 21102130112132 is an apocalyptic number.

1102130112132 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 1102130112132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625389584000).

1102130112132 is an abundant number, since it is smaller than the sum of its proper divisors (2148649055868).

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

1102130112132 is a wasteful number, since it uses less digits than its factorization.

1102130112132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51391 (or 51372 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1102130112132 its reverse (2312110312011), we get a palindrome (3414240424143).

The spelling of 1102130112132 in words is "one trillion, one hundred two billion, one hundred thirty million, one hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1764 1801 2058 3087 3602 4116 5403 6174 7204 10806 12348 12607 16209 21612 25214 32418 37821 49559 50428 64836 75642 88249 99118 113463 148677 151284 176498 198236 226926 264747 297354 346913 352996 446031 453852 529494 594708 617743 693826 794241 892062 1040739 1058988 1235486 1387652 1588482 1784124 1853229 2081478 2428391 2470972 3122217 3176964 3706458 4162956 4856782 5559687 6244434 7285173 7412916 9713564 11119374 12488868 14570346 16998737 21855519 22238748 29140692 33997474 43711038 50996211 67994948 87422076 89255759 101992422 152988633 178511518 203984844 267767277 305977266 357023036 535534554 611954532 624790313 803301831 1071069108 1249580626 1606603662 1874370939 2499161252 3213207324 3748741878 4373532191 5623112817 7497483756 8747064382 11246225634 13120596573 17494128764 22492451268 26241193146 30614725337 39361789719 52482386292 61229450674 78723579438 91844176011 122458901348 157447158876 183688352022 275532528033 367376704044 551065056066 1102130112132