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10120014012 = 2237457113093
BaseRepresentation
bin10010110110011001…
…10010100010111100
3222010021120222101210
421123030302202330
5131211210422022
64352111004420
7505532462013
oct113314624274
928107528353
1010120014012
114323536349
121b65209710
13c5381a894
146c0083a7a
153e36b7a0c
hex25b3328bc

10120014012 has 24 divisors (see below), whose sum is σ = 23616741456. Its totient is φ = 3372855808.

The previous prime is 10120014011. The next prime is 10120014013. The reversal of 10120014012 is 21041002101.

It is a happy number.

10120014012 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 (10120014011) and next prime (10120014013).

It is a super-2 number, since 2×101200140122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120014011) 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 7 ways as a sum of consecutive naturals, for example, 32938 + ... + 146030.

It is an arithmetic number, because the mean of its divisors is an integer number (984030894).

Almost surely, 210120014012 is an apocalyptic number.

10120014012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10120014012 is an abundant number, since it is smaller than the sum of its proper divisors (13496727444).

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

10120014012 is a wasteful number, since it uses less digits than its factorization.

10120014012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120557 (or 120555 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10120014012 its reverse (21041002101), we get a palindrome (31161016113).

The spelling of 10120014012 in words is "ten billion, one hundred twenty million, fourteen thousand, twelve".

Divisors: 1 2 3 4 6 12 7457 14914 22371 29828 44742 89484 113093 226186 339279 452372 678558 1357116 843334501 1686669002 2530003503 3373338004 5060007006 10120014012