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10132130322 = 23317101109279
BaseRepresentation
bin10010110111110110…
…00000101000010010
3222011010101112212000
421123323000220102
5131222311132242
64353222414430
7506040454356
oct113373005022
928133345760
1010132130322
11432a361526
121b69291416
13c561a07b2
146c1919466
153e47aca4c
hex25bec0a12

10132130322 has 64 divisors (see below), whose sum is σ = 24076569600. Its totient is φ = 3147206400.

The previous prime is 10132130321. The next prime is 10132130353. The reversal of 10132130322 is 22303123101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10132130295 and 10132130304.

It is not an unprimeable number, because it can be changed into a prime (10132130321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38079 + ... + 147357.

It is an arithmetic number, because the mean of its divisors is an integer number (376196400).

Almost surely, 210132130322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10132130322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12038284800).

10132130322 is an abundant number, since it is smaller than the sum of its proper divisors (13944439278).

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

10132130322 is a wasteful number, since it uses less digits than its factorization.

10132130322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109408 (or 109402 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10132130322 its reverse (22303123101), we get a palindrome (32435253423).

The spelling of 10132130322 in words is "ten billion, one hundred thirty-two million, one hundred thirty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 101 102 153 202 303 306 459 606 909 918 1717 1818 2727 3434 5151 5454 10302 15453 30906 46359 92718 109279 218558 327837 655674 983511 1857743 1967022 2950533 3715486 5573229 5901066 11037179 11146458 16719687 22074358 33111537 33439374 50159061 66223074 99334611 100318122 187632043 198669222 298003833 375264086 562896129 596007666 1125792258 1688688387 3377376774 5066065161 10132130322