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232301030233314 = 23737619919262781
BaseRepresentation
bin110100110100011011001100…
…011000110101010011100010
31010110111202120012122222012010
4310310123030120311103202
5220422010002214431224
62142021341532213350
766634124041205220
oct6464331430652342
91113452505588163
10232301030233314
116802234a544a79
12220795b500a256
139c80b7c3554b3
14415160373db10
151bcca39ba8e29
hexd346cc6354e2

232301030233314 has 128 divisors (see below), whose sum is σ = 546801831014400. Its totient is φ = 64403165111040.

The previous prime is 232301030233313. The next prime is 232301030233429. The reversal of 232301030233314 is 413332030103232.

It is not an unprimeable number, because it can be changed into a prime (232301030233313) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 883878604 + ... + 884141384.

It is an arithmetic number, because the mean of its divisors is an integer number (4271889304800).

Almost surely, 2232301030233314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232301030233314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273400915507200).

232301030233314 is an abundant number, since it is smaller than the sum of its proper divisors (314500800781086).

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

232301030233314 is a wasteful number, since it uses less digits than its factorization.

232301030233314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264368.

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 232301030233314 its reverse (413332030103232), we get a palindrome (645633060336546).

The spelling of 232301030233314 in words is "two hundred thirty-two trillion, three hundred one billion, thirty million, two hundred thirty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 259 518 619 777 919 1238 1554 1838 1857 2757 3714 4333 5514 6433 8666 12866 12999 19299 22903 25998 34003 38598 45806 68006 68709 102009 137418 160321 204018 238021 262781 320642 476042 480963 525562 568861 714063 788343 961926 1137722 1428126 1576686 1706583 1839467 3413166 3678934 3982027 5518401 7964054 9722897 11036802 11946081 19445794 21047857 23892162 29168691 42095714 58337382 63143571 68060279 126287142 136120558 147334999 162661439 204180837 241495739 294669998 325322878 408361674 442004997 482991478 487984317 724487217 884009994 975968634 1138630073 1448974434 1690470173 2277260146 3380940346 3415890219 5071410519 6018473243 6831780438 8935342343 10142821038 12036946486 17870684686 18055419729 26806027029 36110839458 42129312701 53612054058 62547396401 84258625402 125094792802 126387938103 149485862441 187642189203 252775876206 298971724882 375284378406 448457587323 896915174646 1046401037087 2092802074174 3139203111261 5530976910317 6278406222522 11061953820634 16592930730951 33185861461902 38716838372219 77433676744438 116150515116657 232301030233314