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10132323210 = 2345103121447
BaseRepresentation
bin10010110111110111…
…01111101110001010
3222011010202100110000
421123323233232022
5131222333320320
64353230503430
7506042216622
oct113373575612
928133670400
1010132323210
11432a483439
121b69364b76
13c5623a529
146c1969882
153e47e9c90
hex25beefb8a

10132323210 has 80 divisors (see below), whose sum is σ = 27509429376. Its totient is φ = 2675698272.

The previous prime is 10132323209. The next prime is 10132323233. The reversal of 10132323210 is 1232323101.

10132323210 is a `hidden beast` number, since 1 + 0 + 132 + 323 + 210 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22707 + ... + 144153.

Almost surely, 210132323210 is an apocalyptic number.

10132323210 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 10132323210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13754714688).

10132323210 is an abundant number, since it is smaller than the sum of its proper divisors (17377106166).

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

10132323210 is a wasteful number, since it uses less digits than its factorization.

10132323210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121569 (or 121560 counting only the distinct ones).

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

Adding to 10132323210 its reverse (1232323101), we get a palindrome (11364646311).

The spelling of 10132323210 in words is "ten billion, one hundred thirty-two million, three hundred twenty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 103 135 162 206 270 309 405 515 618 810 927 1030 1545 1854 2781 3090 4635 5562 8343 9270 13905 16686 27810 41715 83430 121447 242894 364341 607235 728682 1093023 1214470 1821705 2186046 3279069 3643410 5465115 6558138 9837207 10930230 12509041 16395345 19674414 25018082 32790690 37527123 49186035 62545205 75054246 98372070 112581369 125090410 187635615 225162738 337744107 375271230 562906845 675488214 1013232321 1125813690 1688720535 2026464642 3377441070 5066161605 10132323210