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10132213300 = 2252112837373
BaseRepresentation
bin10010110111110110…
…10100111000110100
3222011010112202200021
421123323110320310
5131222321311200
64353224254524
7506041251316
oct113373247064
928133482607
1010132213300
11432a408900
121b69311444
13c561cc4b1
146c193b7b6
153e47c741a
hex25bed4e34

10132213300 has 54 divisors (see below), whose sum is σ = 24167451014. Its totient is φ = 3684436800.

The previous prime is 10132213271. The next prime is 10132213303. The reversal of 10132213300 is 331223101.

It can be written as a sum of positive squares in 3 ways, for example, as 28344976 + 10103868324 = 5324^2 + 100518^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132213303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 406587 + ... + 430786.

Almost surely, 210132213300 is an apocalyptic number.

10132213300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132213300 is an abundant number, since it is smaller than the sum of its proper divisors (14035237714).

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

10132213300 is a wasteful number, since it uses less digits than its factorization.

10132213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837409 (or 837391 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10132213300 its reverse (331223101), we get a palindrome (10463436401).

The spelling of 10132213300 in words is "ten billion, one hundred thirty-two million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 837373 1674746 3349492 4186865 8373730 9211103 16747460 18422206 20934325 36844412 41868650 46055515 83737300 92111030 101322133 184222060 202644266 230277575 405288532 460555150 506610665 921110300 1013221330 2026442660 2533053325 5066106650 10132213300