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10513104120 = 2332529203067
BaseRepresentation
bin10011100101010000…
…10011110011111000
31000010200021000122200
421302220103303320
5133012323312440
64455112150200
7521344624221
oct116250236370
930120230580
1010513104120
114505411802
122054998360
13cb70acc8c
1471a36a248
15417e63c30
hex272a13cf8

10513104120 has 48 divisors (see below), whose sum is σ = 34167589560. Its totient is φ = 2803494336.

The previous prime is 10513104101. The next prime is 10513104139. The reversal of 10513104120 is 2140131501.

10513104120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10513104101) and next prime (10513104139).

It is a super-2 number, since 2×105131041202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10513104093 and 10513104102.

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 11 ways as a sum of consecutive naturals, for example, 14601174 + ... + 14601893.

Almost surely, 210513104120 is an apocalyptic number.

10513104120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10513104120 is an abundant number, since it is smaller than the sum of its proper divisors (23654485440).

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

10513104120 is a wasteful number, since it uses less digits than its factorization.

10513104120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29203084 (or 29203077 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 10513104120 its reverse (2140131501), we get a palindrome (12653235621).

The spelling of 10513104120 in words is "ten billion, five hundred thirteen million, one hundred four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 29203067 58406134 87609201 116812268 146015335 175218402 233624536 262827603 292030670 350436804 438046005 525655206 584061340 700873608 876092010 1051310412 1168122680 1314138015 1752184020 2102620824 2628276030 3504368040 5256552060 10513104120