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3132123002010 = 23551775819971
BaseRepresentation
bin101101100101000001000…
…101000011010010011010
3102002102120001000012100000
4231211001011003102122
5402304041442031020
610354513305553430
7442200633146502
oct55450105032232
912072501005300
103132123002010
11aa8364864722
124270397a5876
131994864b7232
14ab84a318a02
1556718b65090
hex2d94114349a

3132123002010 has 96 divisors (see below), whose sum is σ = 8941904217792. Its totient is φ = 786101448960.

The previous prime is 3132123001961. The next prime is 3132123002119. The reversal of 3132123002010 is 102003212313.

3132123002010 is a `hidden beast` number, since 31 + 321 + 2 + 300 + 2 + 0 + 10 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37868676 + ... + 37951295.

It is an arithmetic number, because the mean of its divisors is an integer number (93144835602).

Almost surely, 23132123002010 is an apocalyptic number.

3132123002010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3132123002010 is an abundant number, since it is smaller than the sum of its proper divisors (5809781215782).

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

3132123002010 is a wasteful number, since it uses less digits than its factorization.

3132123002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75820010 (or 75819998 counting only the distinct ones).

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

Adding to 3132123002010 its reverse (102003212313), we get a palindrome (3234126214323).

The spelling of 3132123002010 in words is "three trillion, one hundred thirty-two billion, one hundred twenty-three million, two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 243 255 270 306 405 459 486 510 765 810 918 1215 1377 1530 2295 2430 2754 4131 4590 6885 8262 13770 20655 41310 75819971 151639942 227459913 379099855 454919826 682379739 758199710 1137299565 1288939507 1364759478 2047139217 2274599130 2577879014 3411898695 3866818521 4094278434 6141417651 6444697535 6823797390 7733637042 10235696085 11600455563 12282835302 12889395070 18424252953 19334092605 20471392170 23200911126 30707088255 34801366689 36848505906 38668185210 58002277815 61414176510 69602733378 92121264765 104404100067 116004555630 174006833445 184242529530 208808200134 313212300201 348013666890 522020500335 626424600402 1044041000670 1566061501005 3132123002010