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13102321120 = 255731377371
BaseRepresentation
bin11000011001111010…
…11000110111100000
31020211010022212122121
430030331120313200
5203313143233440
610004044114024
7642454614640
oct141475306740
936733285577
1013102321120
115613a11869
122657b35914
13130a648b45
148c41a2520
1551a41434a
hex30cf58de0

13102321120 has 96 divisors (see below), whose sum is σ = 36517533696. Its totient is φ = 4347302400.

The previous prime is 13102321097. The next prime is 13102321139. The reversal of 13102321120 is 2112320131.

13102321120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13102321094 and 13102321103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153966 + ... + 223405.

It is an arithmetic number, because the mean of its divisors is an integer number (380390976).

Almost surely, 213102321120 is an apocalyptic number.

13102321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13102321120 is an abundant number, since it is smaller than the sum of its proper divisors (23415212576).

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

13102321120 is a wasteful number, since it uses less digits than its factorization.

13102321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377424 (or 377416 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13102321120 its reverse (2112320131), we get a palindrome (15214641251).

The spelling of 13102321120 in words is "thirteen billion, one hundred two million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 70 80 112 124 140 155 160 217 224 248 280 310 434 496 560 620 868 992 1085 1120 1240 1736 2170 2480 3472 4340 4960 6944 8680 17360 34720 377371 754742 1509484 1886855 2641597 3018968 3773710 5283194 6037936 7547420 10566388 11698501 12075872 13207985 15094840 21132776 23397002 26415970 30189680 42265552 46794004 52831940 58492505 60379360 81889507 84531104 93588008 105663880 116985010 163779014 187176016 211327760 233970020 327558028 374352032 409447535 422655520 467940040 655116056 818895070 935880080 1310232112 1637790140 1871760160 2620464224 3275580280 6551160560 13102321120