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232112554100 = 225272101469009
BaseRepresentation
bin1101100000101011111…
…1001000000001110100
3211012010022201110021222
43120022333020001310
512300331303212400
6254344145325512
722524652104500
oct3301277100164
9735108643258
10232112554100
118a490538409
1238b9a036898
1318b7127938b
14b33cd23300
156087795185
hex360afc8074

232112554100 has 108 divisors (see below), whose sum is σ = 591720838380. Its totient is φ = 78793344000.

The previous prime is 232112554099. The next prime is 232112554111. The reversal of 232112554100 is 1455211232.

It can be written as a sum of positive squares in 6 ways, for example, as 214446736 + 231898107364 = 14644^2 + 481558^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 232112554100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 260396 + ... + 729404.

Almost surely, 2232112554100 is an apocalyptic number.

232112554100 is a gapful number since it is divisible by the number (20) 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 232112554100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295860419190).

232112554100 is an abundant number, since it is smaller than the sum of its proper divisors (359608284280).

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

232112554100 is a wasteful number, since it uses less digits than its factorization.

232112554100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469138 (or 469124 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 232112554100 its reverse (1455211232), we get a palindrome (233567765332).

The spelling of 232112554100 in words is "two hundred thirty-two billion, one hundred twelve million, five hundred fifty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 101 140 175 196 202 245 350 404 490 505 700 707 980 1010 1225 1414 2020 2450 2525 2828 3535 4900 4949 5050 7070 9898 10100 14140 17675 19796 24745 35350 49490 70700 98980 123725 247450 469009 494900 938018 1876036 2345045 3283063 4690090 6566126 9380180 11725225 13132252 16415315 22981441 23450450 32830630 45962882 46900900 47369909 65661260 82076575 91925764 94739818 114907205 164153150 189479636 229814410 236849545 328306300 331589363 459628820 473699090 574536025 663178726 947398180 1149072050 1184247725 1326357452 1657946815 2298144100 2321125541 2368495450 3315893630 4642251082 4736990900 6631787260 8289734075 9284502164 11605627705 16579468150 23211255410 33158936300 46422510820 58028138525 116056277050 232112554100