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233312000132112 = 243112324737768751
BaseRepresentation
bin110101000011001000101110…
…111000111100010000010000
31010121002102001102212222211020
4311003020232320330100100
5221040040434013211422
62144114015253515440
7100100143601440416
oct6503105670742020
91117072042788736
10233312000132112
1168382077709230
1222201518942b80
13a0252c52395c5
14418850aa5d2b6
151be8ea951595c
hexd4322ee3c410

233312000132112 has 160 divisors (see below), whose sum is σ = 686380799102976. Its totient is φ = 67599312000000.

The previous prime is 233312000132087. The next prime is 233312000132129. The reversal of 233312000132112 is 211231000213332.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26147737 + ... + 33916487.

Almost surely, 2233312000132112 is an apocalyptic number.

233312000132112 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 233312000132112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343190399551488).

233312000132112 is an abundant number, since it is smaller than the sum of its proper divisors (453068798970864).

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

233312000132112 is a wasteful number, since it uses less digits than its factorization.

233312000132112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7771269 (or 7771263 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 233312000132112 its reverse (211231000213332), we get a palindrome (444543000345444).

The spelling of 233312000132112 in words is "two hundred thirty-three trillion, three hundred twelve billion, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1518 2024 2473 3036 4048 4946 6072 7419 9892 12144 14838 19784 27203 29676 39568 54406 56879 59352 81609 108812 113758 118704 163218 170637 217624 227516 326436 341274 435248 455032 625669 652872 682548 910064 1251338 1305744 1365096 1877007 2502676 2730192 3754014 5005352 7508028 7768751 10010704 15016056 15537502 23306253 30032112 31075004 46612506 62150008 85456261 93225012 124300016 170912522 178681273 186450024 256368783 341825044 357362546 372900048 512737566 536043819 683650088 714725092 1025475132 1072087638 1367300176 1429450184 1965494003 2050950264 2144175276 2858900368 3930988006 4101900528 4288350552 5896482009 7861976012 8576701104 11792964018 15723952024 19212121223 23585928036 31447904048 38424242446 47171856072 57636363669 76848484892 94343712144 115272727338 153696969784 211333333453 230545454676 307393939568 422666666906 441878788129 461090909352 634000000359 845333333812 883757576258 922181818704 1268000000718 1325636364387 1690666667624 1767515152516 2536000001436 2651272728774 3381333335248 3535030305032 4860666669419 5072000002872 5302545457548 7070060610064 9721333338838 10144000005744 10605090915096 14582000008257 19442666677676 21210181830192 29164000016514 38885333355352 58328000033028 77770666710704 116656000066056 233312000132112