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2131038936 = 2333131959677
BaseRepresentation
bin111111100000101…
…0001001011011000
312111111220222212000
41333001101023120
513331021221221
6551243321000
7103544350335
oct17701211330
95444828760
102131038936
119a3a09104
124b5820160
1327c6679b0
1416304998c
15c7148e26
hex7f0512d8

2131038936 has 256 divisors, whose sum is σ = 6834240000. Its totient is φ = 609762816.

The previous prime is 2131038913. The next prime is 2131038937. The reversal of 2131038936 is 6398301312.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2131038936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131038937) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3147430 + ... + 3148106.

It is an arithmetic number, because the mean of its divisors is an integer number (26696250).

Almost surely, 22131038936 is an apocalyptic number.

2131038936 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131038936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3417120000).

2131038936 is an abundant number, since it is smaller than the sum of its proper divisors (4703201064).

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

2131038936 is a wasteful number, since it uses less digits than its factorization.

2131038936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2131038936 is about 46163.1772736669. The cubic root of 2131038936 is about 1286.8575105370.

The spelling of 2131038936 in words is "two billion, one hundred thirty-one million, thirty-eight thousand, nine hundred thirty-six".