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13021303113120 = 253559791453709
BaseRepresentation
bin1011110101111100001000…
…1001011000010110100000
31201002211021000001210200010
42331133002021120112200
53201320112044104440
643405523140124520
72512521013153041
oct275370211302640
951084230053603
1013021303113120
114170338162a05
121563748096740
13735b9931acb3
1433033d3dc8c8
15178aa9a0a580
hexbd7c22585a0

13021303113120 has 96 divisors (see below), whose sum is σ = 41017881219840. Its totient is φ = 3472281768960.

The previous prime is 13021303113109. The next prime is 13021303113131. The reversal of 13021303113120 is 2131130312031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13021303113109) and next prime (13021303113131).

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

It is a super-2 number, since 2×130213031131202 (a number of 27 digits) contains 22 as substring.

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, 28472826 + ... + 28926534.

It is an arithmetic number, because the mean of its divisors is an integer number (427269596040).

Almost surely, 213021303113120 is an apocalyptic number.

13021303113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13021303113120 is an abundant number, since it is smaller than the sum of its proper divisors (27996578106720).

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

13021303113120 is a wasteful number, since it uses less digits than its factorization.

13021303113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513518 (or 513510 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13021303113120 its reverse (2131130312031), we get a palindrome (15152433425151).

The spelling of 13021303113120 in words is "thirteen trillion, twenty-one billion, three hundred three million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 59791 119582 179373 239164 298955 358746 453709 478328 597910 717492 896865 907418 956656 1195820 1361127 1434984 1793730 1814836 1913312 2268545 2391640 2722254 2869968 3587460 3629672 4537090 4783280 5444508 5739936 6805635 7174920 7259344 9074180 9566560 10889016 13611270 14349840 14518688 18148360 21778032 27222540 28699680 36296720 43556064 54445080 72593440 108890160 217780320 27127714819 54255429638 81383144457 108510859276 135638574095 162766288914 217021718552 271277148190 325532577828 406915722285 434043437104 542554296380 651065155656 813831444570 868086874208 1085108592760 1302130311312 1627662889140 2170217185520 2604260622624 3255325778280 4340434371040 6510651556560 13021303113120