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10323134441412 = 22313217633747251
BaseRepresentation
bin1001011000111000101011…
…0000101110011111000100
31100112212210222200200002220
42112032022300232133010
52323113234404111122
633542214341332340
72113551615646002
oct226161260563704
940485728620086
1010323134441412
1133200202a5591
1211a8838a070b0
1359b60cb58500
142798dc957a72
1512d7dd61b25c
hex9638ac2e7c4

10323134441412 has 144 divisors (see below), whose sum is σ = 27621932288832. Its totient is φ = 2988969984000.

The previous prime is 10323134441393. The next prime is 10323134441443. The reversal of 10323134441412 is 21414443132301.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218450787 + ... + 218498037.

It is an arithmetic number, because the mean of its divisors is an integer number (191818974228).

Almost surely, 210323134441412 is an apocalyptic number.

10323134441412 is a gapful number since it is divisible by the number (12) 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 10323134441412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13810966144416).

10323134441412 is an abundant number, since it is smaller than the sum of its proper divisors (17298797847420).

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

10323134441412 is a wasteful number, since it uses less digits than its factorization.

10323134441412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53638 (or 53623 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 10323134441412 its reverse (21414443132301), we get a palindrome (31737577573713).

The spelling of 10323134441412 in words is "ten trillion, three hundred twenty-three billion, one hundred thirty-four million, four hundred forty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 169 204 221 338 442 507 663 676 884 1014 1326 2028 2652 2873 5746 6337 8619 11492 12674 17238 19011 25348 34476 38022 47251 76044 82381 94502 107729 141753 164762 189004 215458 247143 283506 323187 329524 430916 494286 567012 614263 646374 803267 988572 1070953 1228526 1292748 1400477 1606534 1842789 2141906 2409801 2457052 2800954 3212859 3213068 3685578 4201431 4283812 4819602 5601908 6425718 7371156 7985419 8402862 9639204 10442471 12851436 15970838 16805724 18206201 20884942 23956257 31327413 31941676 36412402 41769884 47912514 54618603 62654826 72824804 95825028 109237206 125309652 135752123 218474412 271504246 299429587 407256369 543008492 598859174 814512738 898288761 1197718348 1629025476 1796577522 3593155044 3892584631 5090302979 7785169262 10180605958 11677753893 15270908937 15570338524 20361211916 23355507786 30541817874 46711015572 50603600203 61083635748 66173938727 101207200406 132347877454 151810800609 198521816181 202414400812 264695754908 303621601218 397043632362 607243202436 794087264724 860261203451 1720522406902 2580783610353 3441044813804 5161567220706 10323134441412