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1313003332212 = 22311131217628721
BaseRepresentation
bin10011000110110101000…
…110001110001001110100
311122112002110102011121220
4103012311012032021310
5133003012323112322
62443104014110340
7163601306115045
oct23066506161164
94575073364556
101313003332212
11466929173140
121925761ab3b0
1396a7b094a60
144779a5408cc
152424a7d455c
hex131b518e274

1313003332212 has 96 divisors (see below), whose sum is σ = 3602245094784. Its totient is φ = 366971289600.

The previous prime is 1313003332189. The next prime is 1313003332213. The reversal of 1313003332212 is 2122333003131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313003332213) by changing a digit.

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, 1774012 + ... + 2402732.

It is an arithmetic number, because the mean of its divisors is an integer number (37523386404).

Almost surely, 21313003332212 is an apocalyptic number.

1313003332212 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 1313003332212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801122547392).

1313003332212 is an abundant number, since it is smaller than the sum of its proper divisors (2289241762572).

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

1313003332212 is a wasteful number, since it uses less digits than its factorization.

1313003332212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629969 (or 629967 counting only the distinct ones).

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

Adding to 1313003332212 its reverse (2122333003131), we get a palindrome (3435336335343).

The spelling of 1313003332212 in words is "one trillion, three hundred thirteen billion, three million, three hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1217 1716 2434 3651 4868 7302 13387 14604 15821 26774 31642 40161 47463 53548 63284 80322 94926 160644 174031 189852 348062 522093 628721 696124 1044186 1257442 1886163 2088372 2514884 3772326 6915931 7544652 8173373 13831862 16346746 20747793 24520119 27663724 32693492 41495586 49040238 82991172 89907103 98080476 179814206 269721309 359628412 539442618 765153457 1078885236 1530306914 2295460371 3060613828 4590920742 8416688027 9181841484 9946994941 16833376054 19893989882 25250064081 29840984823 33666752108 39787979764 50500128162 59681969646 101000256324 109416944351 119363939292 218833888702 328250833053 437667777404 656501666106 1313003332212