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11415251320 = 2351127693067
BaseRepresentation
bin10101010000110011…
…01110100101111000
31002110112210211221221
422220121232211320
5141334301020240
65124420241424
7552611015044
oct125031564570
932415724857
1011415251320
114928680300
122266b40274
1310cbc78aa5
147a40c5024
1546c266a4a
hex2a866e978

11415251320 has 96 divisors (see below), whose sum is σ = 28277449200. Its totient is φ = 4144250880.

The previous prime is 11415251317. The next prime is 11415251329. The reversal of 11415251320 is 2315251411.

11415251320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11415251329) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3720427 + ... + 3723493.

Almost surely, 211415251320 is an apocalyptic number.

11415251320 is a gapful number since it is divisible by the number (10) 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 11415251320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14138724600).

11415251320 is an abundant number, since it is smaller than the sum of its proper divisors (16862197880).

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

11415251320 is a wasteful number, since it uses less digits than its factorization.

11415251320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3869 (or 3854 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Subtracting from 11415251320 its reverse (2315251411), we obtain a palindrome (9099999909).

The spelling of 11415251320 in words is "eleven billion, four hundred fifteen million, two hundred fifty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 769 968 1210 1538 2420 3067 3076 3845 4840 6134 6152 7690 8459 12268 15335 15380 16918 24536 30670 30760 33737 33836 42295 61340 67474 67672 84590 93049 122680 134948 168685 169180 186098 269896 337370 338360 371107 372196 465245 674740 742214 744392 930490 1349480 1484428 1855535 1860980 2358523 2968856 3711070 3721960 4717046 7422140 9434092 11792615 14844280 18868184 23585230 25943753 47170460 51887506 94340920 103775012 129718765 207550024 259437530 285381283 518875060 570762566 1037750120 1141525132 1426906415 2283050264 2853812830 5707625660 11415251320