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10237105437 = 3131913815257
BaseRepresentation
bin10011000100010110…
…11101010100011101
3222102102220211122020
421202023131110131
5131431144333222
64411452410353
7511453650306
oct114213352435
928372824566
1010237105437
114383640919
121b984769b9
13c71b66950
146d18437ad
153edae665c
hex2622dd51d

10237105437 has 16 divisors (see below), whose sum is σ = 15473088960. Its totient is φ = 5968190592.

The previous prime is 10237105429. The next prime is 10237105453. The reversal of 10237105437 is 73450173201.

10237105437 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 10237105437 - 23 = 10237105429 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10237105398 and 10237105407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10237105537) 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, 6906888 + ... + 6908369.

It is an arithmetic number, because the mean of its divisors is an integer number (967068060).

Almost surely, 210237105437 is an apocalyptic number.

It is an amenable number.

10237105437 is a deficient number, since it is larger than the sum of its proper divisors (5235983523).

10237105437 is a wasteful number, since it uses less digits than its factorization.

10237105437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13815292.

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

Adding to 10237105437 its reverse (73450173201), we get a palindrome (83687278638).

The spelling of 10237105437 in words is "ten billion, two hundred thirty-seven million, one hundred five thousand, four hundred thirty-seven".

Divisors: 1 3 13 19 39 57 247 741 13815257 41445771 179598341 262489883 538795023 787469649 3412368479 10237105437