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10012357437 = 313728338599
BaseRepresentation
bin10010101001100100…
…00111001100111101
3221211210000110100020
421110302013030331
5131001130414222
64333303322353
7503054430315
oct112462071475
927753013306
1010012357437
114278795375
121b351503b9
13c37426074
146ada5c445
153d8eee65c
hex254c8733d

10012357437 has 16 divisors (see below), whose sum is σ = 13453564800. Its totient is φ = 6623073792.

The previous prime is 10012357391. The next prime is 10012357483. The reversal of 10012357437 is 73475321001.

10012357437 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 (10012357391) and next prime (10012357483).

It is not a de Polignac number, because 10012357437 - 215 = 10012324669 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10012357398 and 10012357407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012357237) 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 15 ways as a sum of consecutive naturals, for example, 1160064 + ... + 1168662.

It is an arithmetic number, because the mean of its divisors is an integer number (840847800).

Almost surely, 210012357437 is an apocalyptic number.

It is an amenable number.

10012357437 is a deficient number, since it is larger than the sum of its proper divisors (3441207363).

10012357437 is a wasteful number, since it uses less digits than its factorization.

10012357437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11572.

The product of its (nonzero) digits is 17640, while the sum is 33.

Adding to 10012357437 its reverse (73475321001), we get a palindrome (83487678438).

The spelling of 10012357437 in words is "ten billion, twelve million, three hundred fifty-seven thousand, four hundred thirty-seven".

Divisors: 1 3 137 411 2833 8499 8599 25797 388121 1164363 1178063 3534189 24360967 73082901 3337452479 10012357437