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1313103230232 = 2331943253126459
BaseRepresentation
bin10011000110111011000…
…011010011010100011000
311122112100102101111221120
4103012323003103110120
5133003213411331412
62443121543205240
7163603631203653
oct23067303232430
94575312344846
101313103230232
1146697a5a4a92
121925a3746820
1396a959a1001
14477a990689a
1524254468b8c
hex131bb0d3518

1313103230232 has 128 divisors (see below), whose sum is σ = 3537426816000. Its totient is φ = 404845499520.

The previous prime is 1313103230221. The next prime is 1313103230261. The reversal of 1313103230232 is 2320323013131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49614619 + ... + 49641077.

It is an arithmetic number, because the mean of its divisors is an integer number (27636147000).

Almost surely, 21313103230232 is an apocalyptic number.

1313103230232 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 1313103230232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768713408000).

1313103230232 is an abundant number, since it is smaller than the sum of its proper divisors (2224323585768).

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

1313103230232 is a wasteful number, since it uses less digits than its factorization.

1313103230232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29061 (or 29057 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1313103230232 its reverse (2320323013131), we get a palindrome (3633426243363).

The spelling of 1313103230232 in words is "one trillion, three hundred thirteen billion, one hundred three million, two hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 43 57 76 86 114 129 152 172 228 258 344 456 516 817 1032 1634 2451 2531 3268 4902 5062 6536 7593 9804 10124 15186 19608 20248 26459 30372 48089 52918 60744 79377 96178 105836 108833 144267 158754 192356 211672 217666 288534 317508 326499 384712 435332 502721 577068 635016 652998 870664 1005442 1137737 1154136 1305996 1508163 2010884 2067827 2275474 2611992 3016326 3413211 4021768 4135654 4550948 6032652 6203481 6826422 8271308 9101896 12065304 12406962 13652844 16542616 21617003 24813924 27305688 43234006 49627848 64851009 66967729 86468012 129702018 133935458 172936024 200903187 259404036 267870916 401806374 518808072 535741832 803612748 1272386851 1607225496 2544773702 2879612347 3817160553 5089547404 5759224694 7634321106 8638837041 10179094808 11518449388 15268642212 17277674082 23036898776 30537284424 34555348164 54712634593 69110696328 109425269186 164137903779 218850538372 328275807558 437701076744 656551615116 1313103230232