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10202013344 = 251782322787
BaseRepresentation
bin10011000000001011…
…00101111010100000
3222022222212222100002
421200011211322200
5131343203411334
64404200315132
7510546453065
oct114005457240
928288788302
1010202013344
114365852696
121b88772aa8
13c677cacb3
146cad0ac6c
153ea9b3b7e
hex260165ea0

10202013344 has 48 divisors (see below), whose sum is σ = 21293471808. Its totient is φ = 4794903552.

The previous prime is 10202013329. The next prime is 10202013391. The reversal of 10202013344 is 44331020201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 436319 + ... + 459105.

It is an arithmetic number, because the mean of its divisors is an integer number (443613996).

Almost surely, 210202013344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202013344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10646735904).

10202013344 is an abundant number, since it is smaller than the sum of its proper divisors (11091458464).

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

10202013344 is a wasteful number, since it uses less digits than its factorization.

10202013344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23637 (or 23629 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10202013344 its reverse (44331020201), we get a palindrome (54533033545).

The spelling of 10202013344 in words is "ten billion, two hundred two million, thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 823 1646 3292 6584 13168 13991 22787 26336 27982 45574 55964 91148 111928 182296 223856 364592 387379 447712 729184 774758 1549516 3099032 6198064 12396128 18753701 37507402 75014804 150029608 300059216 318812917 600118432 637625834 1275251668 2550503336 5101006672 10202013344