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231332202233132 = 2271121345971142549
BaseRepresentation
bin110100100110010100111001…
…101111010011110100101100
31010100002010211220212012120212
4310212110321233103310230
5220310121322232430012
62140000314022001552
766504125424114140
oct6446247157236454
91110063756765525
10231332202233132
1167789488384a00
1221b418925762b8
139c106c11c1580
14411a777263220
151bb2734dc5b22
hexd26539bd3d2c

231332202233132 has 144 divisors (see below), whose sum is σ = 547787206612800. Its totient is φ = 83178225630720.

The previous prime is 231332202233131. The next prime is 231332202233141.

231332202233132 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (231332202233131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201898994 + ... + 203041542.

It is an arithmetic number, because the mean of its divisors is an integer number (3804077823700).

Almost surely, 2231332202233132 is an apocalyptic number.

231332202233132 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 231332202233132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273893603306400).

231332202233132 is an abundant number, since it is smaller than the sum of its proper divisors (316455004379668).

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

231332202233132 is a wasteful number, since it uses less digits than its factorization.

231332202233132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147192 (or 1147179 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

It can be divided in two parts, 23133220 and 2233132, that added together give a palindrome (25366352).

The spelling of 231332202233132 in words is "two hundred thirty-one trillion, three hundred thirty-two billion, two hundred two million, two hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 121 143 154 182 242 286 308 364 484 572 847 1001 1573 1694 2002 3146 3388 4004 4597 6292 9194 11011 18388 22022 32179 44044 50567 59761 64358 101134 119522 128716 202268 239044 353969 418327 556237 657371 707938 836654 1112474 1142549 1314742 1415876 1673308 2224948 2285098 2629484 3893659 4570196 4601597 7231081 7787318 7997843 9203194 12568039 14462162 14853137 15574636 15995686 18406388 25136078 28924324 29706274 31991372 50272156 50617567 59412548 87976273 101235134 103971959 138248429 163384507 175952546 202470268 207943918 276496858 326769014 351905092 415887836 552993716 653538028 967739003 1143691549 1797229577 1935478006 2287383098 3594459154 3870956012 4574766196 5252297753 7188918308 10504595506 12580607039 21009191012 25161214078 36766084271 50322428156 57775275283 68279870789 73532168542 115550550566 136559741578 147064337084 231101101132 273119483156 404426926981 477959095523 635528028113 751078578679 808853853962 955918191046 1271056056226 1502157157358 1617707707924 1911836382092 2542112112452 3004314314716 4448696196791 5257550050753 8261864365469 8897392393582 10515100101506 16523728730938 17794784787164 21030200203012 33047457461876 57833050558283 115666101116566 231332202233132