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10202000232 = 2333721154449
BaseRepresentation
bin10011000000001011…
…00010101101101000
3222022222212022100110
421200011202231220
5131343203001412
64404200134320
7510546366624
oct114005425550
928288768313
1010202000232
114365843856
121b887673a0
13c677c5038
146cad06184
153ea9aed3c
hex260162b68

10202000232 has 64 divisors (see below), whose sum is σ = 26318952000. Its totient is φ = 3293015040.

The previous prime is 10202000231. The next prime is 10202000261. The reversal of 10202000232 is 23200020201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10202000231) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 160144 + ... + 214592.

It is an arithmetic number, because the mean of its divisors is an integer number (411233625).

Almost surely, 210202000232 is an apocalyptic number.

10202000232 is a gapful number since it is divisible by the number (12) 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 10202000232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13159476000).

10202000232 is an abundant number, since it is smaller than the sum of its proper divisors (16116951768).

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

10202000232 is a wasteful number, since it uses less digits than its factorization.

10202000232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54706 (or 54702 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 10202000232 its reverse (23200020201), we get a palindrome (33402020433).

The spelling of 10202000232 in words is "ten billion, two hundred two million, two hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 211 222 296 422 444 633 844 888 1266 1688 2532 5064 7807 15614 23421 31228 46842 54449 62456 93684 108898 163347 187368 217796 326694 435592 653388 1306776 2014613 4029226 6043839 8058452 11488739 12087678 16116904 22977478 24175356 34466217 45954956 48350712 68932434 91909912 137864868 275729736 425083343 850166686 1275250029 1700333372 2550500058 3400666744 5101000116 10202000232