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10132211130 = 23519127139967
BaseRepresentation
bin10010110111110110…
…10100010110111010
3222011010112122200220
421123323110112322
5131222321224010
64353224240510
7506041242066
oct113373242672
928133478626
1010132211130
11432a407208
121b69310136
13c561cb502
146c193aaa6
153e47c6970
hex25bed45ba

10132211130 has 64 divisors (see below), whose sum is σ = 25798901760. Its totient is φ = 2539543104.

The previous prime is 10132211119. The next prime is 10132211147. The reversal of 10132211130 is 3111223101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2407 + ... + 142373.

It is an arithmetic number, because the mean of its divisors is an integer number (403107840).

Almost surely, 210132211130 is an apocalyptic number.

10132211130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10132211130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12899450880).

10132211130 is an abundant number, since it is smaller than the sum of its proper divisors (15666690630).

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

10132211130 is a wasteful number, since it uses less digits than its factorization.

10132211130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140123.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10132211130 its reverse (3111223101), we get a palindrome (13243434231).

The spelling of 10132211130 in words is "ten billion, one hundred thirty-two million, two hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 127 190 254 285 381 570 635 762 1270 1905 2413 3810 4826 7239 12065 14478 24130 36195 72390 139967 279934 419901 699835 839802 1399670 2099505 2659373 4199010 5318746 7978119 13296865 15956238 17775809 26593730 35551618 39890595 53327427 79781190 88879045 106654854 177758090 266637135 337740371 533274270 675480742 1013221113 1688701855 2026442226 3377403710 5066105565 10132211130