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10437013631 = 112139620549
BaseRepresentation
bin10011011100001100…
…00011000001111111
3222221101002020010102
421232012003001333
5132333333414011
64443353231315
7516432103112
oct115606030177
928841066112
1010437013631
114476470900
12203340253b
13ca43bb215
14710200579
1541143373b
hex26e18307f

10437013631 has 12 divisors (see below), whose sum is σ = 11554641000. Its totient is φ = 9419918640.

The previous prime is 10437013619. The next prime is 10437013649. The reversal of 10437013631 is 13631073401.

10437013631 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10437013631 - 230 = 9363271807 is a prime.

It is a super-2 number, since 2×104370136312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10437013594 and 10437013603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10437013661) 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 11 ways as a sum of consecutive naturals, for example, 293456 + ... + 327093.

It is an arithmetic number, because the mean of its divisors is an integer number (962886750).

Almost surely, 210437013631 is an apocalyptic number.

10437013631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10437013631 is a deficient number, since it is larger than the sum of its proper divisors (1117627369).

10437013631 is a wasteful number, since it uses less digits than its factorization.

10437013631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620710 (or 620699 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The spelling of 10437013631 in words is "ten billion, four hundred thirty-seven million, thirteen thousand, six hundred thirty-one".

Divisors: 1 11 121 139 1529 16819 620549 6826039 75086429 86256311 948819421 10437013631