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1310301013332 = 2231719426179337
BaseRepresentation
bin10011000100010100000…
…001101100010101010100
311122021010010112011000110
4103010110001230111110
5132431444024411312
62441535522043020
7163444323563253
oct23042401542524
94567103464013
101310301013332
11465771842a53
12191b411a9470
139673a2789bc
14475c16a679a
152413d44243c
hex1311406c554

1310301013332 has 96 divisors (see below), whose sum is σ = 3408436644480. Its totient is φ = 389343006720.

The previous prime is 1310301013331. The next prime is 1310301013361. The reversal of 1310301013332 is 2333101030131.

It is a junction number, because it is equal to n+sod(n) for n = 1310301013299 and 1310301013308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310301013331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16475968 + ... + 16555304.

It is an arithmetic number, because the mean of its divisors is an integer number (35504548380).

Almost surely, 21310301013332 is an apocalyptic number.

1310301013332 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 1310301013332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704218322240).

1310301013332 is an abundant number, since it is smaller than the sum of its proper divisors (2098135631148).

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

1310301013332 is a wasteful number, since it uses less digits than its factorization.

1310301013332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83641 (or 83639 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1310301013332 its reverse (2333101030131), we get a palindrome (3643402043463).

The spelling of 1310301013332 in words is "one trillion, three hundred ten billion, three hundred one million, thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 646 969 1292 1938 3876 4261 8522 12783 17044 25566 51132 72437 79337 80959 144874 158674 161918 217311 238011 242877 289748 317348 323836 434622 476022 485754 869244 952044 971508 1348729 1376303 1507403 2697458 2752606 3014806 4046187 4128909 4522209 5394916 5505212 6029612 8092374 8257818 9044418 16184748 16515636 18088836 25625851 51251702 76877553 102503404 153755106 307510212 338054957 676109914 1014164871 1352219828 2028329742 4056659484 5746934269 6423044183 11493868538 12846088366 17240802807 19269132549 22987737076 25692176732 34481605614 38538265098 68963211228 77076530196 109191751111 218383502222 327575253333 436767004444 655150506666 1310301013332