Search a number
-
+
3012113111232 = 263314013126107
BaseRepresentation
bin101011110101001111111…
…011101001100011000000
3101122221210100020002020110
4223311033323221203000
5343322301424024412
610223425021311320
7430421654001141
oct53651773514300
911587710202213
103012113111232
11a61480364505
12407926705540
1318b06c248c44
14a5b03959ac8
1553542da8d3c
hex2bd4fee98c0

3012113111232 has 112 divisors (see below), whose sum is σ = 8228746755072. Its totient is φ = 971399562240.

The previous prime is 3012113111207. The next prime is 3012113111251. The reversal of 3012113111232 is 2321113112103.

It is a junction number, because it is equal to n+sod(n) for n = 3012113111199 and 3012113111208.

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, 23822323 + ... + 23948429.

Almost surely, 23012113111232 is an apocalyptic number.

3012113111232 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 3012113111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114373377536).

3012113111232 is an abundant number, since it is smaller than the sum of its proper divisors (5216633643840).

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

3012113111232 is a wasteful number, since it uses less digits than its factorization.

3012113111232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130166 (or 130156 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 3012113111232 its reverse (2321113112103), we get a palindrome (5333226223335).

The spelling of 3012113111232 in words is "three trillion, twelve billion, one hundred thirteen million, one hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 4013 5952 8026 12039 16052 24078 32104 48156 64208 96312 124403 126107 128416 192624 248806 252214 256832 373209 378321 385248 497612 504428 746418 756642 770496 995224 1008856 1492836 1513284 1990448 2017712 2985672 3026568 3909317 3980896 4035424 5971344 6053136 7818634 7961792 8070848 11727951 11942688 12106272 15637268 23455902 23885376 24212544 31274536 46911804 62549072 93823608 125098144 187647216 250196288 375294432 506067391 750588864 1012134782 1518202173 2024269564 3036404346 4048539128 6072808692 8097078256 12145617384 15688089121 16194156512 24291234768 31376178242 32388313024 47064267363 48582469536 62752356484 94128534726 97164939072 125504712968 188257069452 251009425936 376514138904 502018851872 753028277808 1004037703744 1506056555616 3012113111232