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230032010103132 = 2231311735931426379
BaseRepresentation
bin110100010011011010000000…
…001111111100100101011100
31010011110211211021222112112210
4310103122000033330211130
5220122321024041300012
62133123125132200420
766311156436263616
oct6423320017744534
91104424737875483
10230032010103132
1167328033865696
12219718b2909110
139b47c05367053
1440b3874383db6
151b8d9d919d23c
hexd136803fc95c

230032010103132 has 96 divisors (see below), whose sum is σ = 544882546010880. Its totient is φ = 75524547005440.

The previous prime is 230032010103113. The next prime is 230032010103149. The reversal of 230032010103132 is 231301010230032.

It is a junction number, because it is equal to n+sod(n) for n = 230032010103099 and 230032010103108.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 160556719 + ... + 161983097.

It is an arithmetic number, because the mean of its divisors is an integer number (5675859854280).

Almost surely, 2230032010103132 is an apocalyptic number.

It is an amenable number.

230032010103132 is an abundant number, since it is smaller than the sum of its proper divisors (314850535907748).

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

230032010103132 is a wasteful number, since it uses less digits than its factorization.

230032010103132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427283 (or 1427281 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 230032010103132 its reverse (231301010230032), we get a palindrome (461333020333164).

The spelling of 230032010103132 in words is "two hundred thirty trillion, thirty-two billion, ten million, one hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 131 173 262 346 393 519 524 593 692 786 1038 1186 1572 1779 2076 2372 3558 7116 22663 45326 67989 77683 90652 102589 135978 155366 205178 233049 271956 307767 310732 410356 466098 615534 932196 1231068 1426379 2852758 4279137 5705516 8558274 13439159 17116548 26878318 40317477 53756636 80634954 161269908 186855649 246763567 373711298 493527134 560566947 740290701 747422596 845842747 987054268 1121133894 1480581402 1691685494 2242267788 2537528241 2961162804 3383370988 5075056482 10150112964 32326027277 64652054554 96978081831 110805399857 129304109108 146330795231 193956163662 221610799714 292661590462 332416199571 387912327324 438992385693 443221599428 585323180924 664832399142 877984771386 1329664798284 1755969542772 19169334175261 38338668350522 57508002525783 76677336701044 115016005051566 230032010103132