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10611931120 = 245718949877
BaseRepresentation
bin10011110001000010…
…10011011111110000
31000101120012221210221
421320201103133300
5133213123243440
64513002302424
7523654632460
oct117041233760
930346187727
1010611931120
114556181a0a
122081ab7a14
1310017028ab
14729533ba0
15421985d4a
hex2788537f0

10611931120 has 40 divisors (see below), whose sum is σ = 28197418464. Its totient is φ = 3638376192.

The previous prime is 10611931117. The next prime is 10611931139. The reversal of 10611931120 is 2113911601.

10611931120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106119311202 (a number of 21 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 9474379 + ... + 9475498.

Almost surely, 210611931120 is an apocalyptic number.

10611931120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10611931120 is an abundant number, since it is smaller than the sum of its proper divisors (17585487344).

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

10611931120 is a wasteful number, since it uses less digits than its factorization.

10611931120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18949897 (or 18949891 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 25.

The spelling of 10611931120 in words is "ten billion, six hundred eleven million, nine hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 18949877 37899754 75799508 94749385 132649139 151599016 189498770 265298278 303198032 378997540 530596556 663245695 757995080 1061193112 1326491390 1515990160 2122386224 2652982780 5305965560 10611931120