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1313213088 = 253114726459
BaseRepresentation
bin100111001000110…
…0000101010100000
310101112001010200210
41032101200222200
510142140304323
6334150414120
744354061405
oct11621405240
93345033623
101313213088
11614302480
12307961340
1317c0b3185
14c65a02ac
157a450293
hex4e460aa0

1313213088 has 96 divisors (see below), whose sum is σ = 3840721920. Its totient is φ = 389461760.

The previous prime is 1313213053. The next prime is 1313213113. The reversal of 1313213088 is 8803123131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13132130882 = 3449057228988991488, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36403 + ... + 62861.

It is an arithmetic number, because the mean of its divisors is an integer number (40007520).

Almost surely, 21313213088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313213088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920360960).

1313213088 is an abundant number, since it is smaller than the sum of its proper divisors (2527508832).

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

1313213088 is a wasteful number, since it uses less digits than its factorization.

1313213088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26530 (or 26522 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1313213088 is about 36238.2820784871. The cubic root of 1313213088 is about 1095.0780336791.

The spelling of 1313213088 in words is "one billion, three hundred thirteen million, two hundred thirteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 66 88 94 96 132 141 176 188 264 282 352 376 517 528 564 752 1034 1056 1128 1504 1551 2068 2256 3102 4136 4512 6204 8272 12408 16544 24816 26459 49632 52918 79377 105836 158754 211672 291049 317508 423344 582098 635016 846688 873147 1164196 1243573 1270032 1746294 2328392 2487146 2540064 3492588 3730719 4656784 4974292 6985176 7461438 9313568 9948584 13679303 13970352 14922876 19897168 27358606 27940704 29845752 39794336 41037909 54717212 59691504 82075818 109434424 119383008 164151636 218868848 328303272 437737696 656606544 1313213088