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103231313010 = 23257223408461
BaseRepresentation
bin110000000100100010…
…0001101010001110010
3100212110100221001101100
41200021010031101302
53142404204004020
6115231313145230
710313111453100
oct1401104152162
9325410831340
10103231313010
113a864426421
121800bb5b216
1399720c2a87
144dd427ac70
152a42c70a90
hex180910d472

103231313010 has 72 divisors (see below), whose sum is σ = 312222066156. Its totient is φ = 23595727680.

The previous prime is 103231312991. The next prime is 103231313033. The reversal of 103231313010 is 10313132301.

It is a happy number.

103231313010 is a `hidden beast` number, since 10 + 323 + 1 + 31 + 301 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102250934289 + 980378721 = 319767^2 + 31311^2 .

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11699821 + ... + 11708640.

Almost surely, 2103231313010 is an apocalyptic number.

103231313010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103231313010 is an abundant number, since it is smaller than the sum of its proper divisors (208990753146).

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

103231313010 is a wasteful number, since it uses less digits than its factorization.

103231313010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23408488 (or 23408478 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103231313010 its reverse (10313132301), we get a palindrome (113544445311).

The spelling of 103231313010 in words is "one hundred three billion, two hundred thirty-one million, three hundred thirteen thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 23408461 46816922 70225383 117042305 140450766 163859227 210676149 234084610 327718454 351126915 421352298 491577681 702253830 819296135 983155362 1053380745 1147014589 1474733043 1638592270 2106761490 2294029178 2457888405 2949466086 3441043767 4915776810 5735072945 6882087534 7373665215 10323131301 11470145890 14747330430 17205218835 20646262602 34410437670 51615656505 103231313010