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13323321313000 = 235353251383421
BaseRepresentation
bin1100000111100001001111…
…0101011000011011101000
31202011200211011121000011221
43001320103311120123220
53221242130224004000
644200352130231424
72543402215411156
oct301702365303350
952150734530157
1013323321313000
1142774305a7696
1215b2195425574
137584cb2c6bca
14340bd05b63d6
1518188447461a
hexc1e13d586e8

13323321313000 has 64 divisors (see below), whose sum is σ = 31764809203920. Its totient is φ = 5228775136000.

The previous prime is 13323321312943. The next prime is 13323321313037. The reversal of 13323321313000 is 31312332331.

It can be written as a sum of positive squares in 8 ways, for example, as 16978611204 + 13306342701796 = 130302^2 + 3647786^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125638711 + ... + 125744710.

Almost surely, 213323321313000 is an apocalyptic number.

13323321313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13323321313000 is an abundant number, since it is smaller than the sum of its proper divisors (18441487890920).

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

13323321313000 is a wasteful number, since it uses less digits than its factorization.

13323321313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251383495 (or 251383481 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 13323321313000 its reverse (31312332331), we get a palindrome (13354633645331).

The spelling of 13323321313000 in words is "thirteen trillion, three hundred twenty-three billion, three hundred twenty-one million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 200 212 250 265 424 500 530 1000 1060 1325 2120 2650 5300 6625 10600 13250 26500 53000 251383421 502766842 1005533684 1256917105 2011067368 2513834210 5027668420 6284585525 10055336840 12569171050 13323321313 25138342100 26646642626 31422927625 50276684200 53293285252 62845855250 66616606565 106586570504 125691710500 133233213130 251383421000 266466426260 333083032825 532932852520 666166065650 1332332131300 1665415164125 2664664262600 3330830328250 6661660656500 13323321313000