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31301132130 = 234538643373
BaseRepresentation
bin11101001001101100…
…010101111101100010
32222210102121021010000
4131021230111331202
51003101042212010
622213551520430
72155446142662
oct351154257542
988712537100
1031301132130
1112302744944
126096829116
132c4ab08478
14172d1821a2
15c32e8e7c0
hex749b15f62

31301132130 has 40 divisors (see below), whose sum is σ = 84165268572. Its totient is φ = 8346968352.

The previous prime is 31301132119. The next prime is 31301132141. The reversal of 31301132130 is 3123110313.

It is a happy number.

31301132130 is a `hidden beast` number, since 313 + 0 + 1 + 1 + 321 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (31301132119) and next prime (31301132141).

It can be written as a sum of positive squares in 2 ways, for example, as 30778140969 + 522991161 = 175437^2 + 22869^2 .

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 (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19320877 + ... + 19322496.

Almost surely, 231301132130 is an apocalyptic number.

31301132130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31301132130 is an abundant number, since it is smaller than the sum of its proper divisors (52864136442).

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

31301132130 is a wasteful number, since it uses less digits than its factorization.

31301132130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38643392 (or 38643383 counting only the distinct ones).

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

Adding to 31301132130 its reverse (3123110313), we get a palindrome (34424242443).

The spelling of 31301132130 in words is "thirty-one billion, three hundred one million, one hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 38643373 77286746 115930119 193216865 231860238 347790357 386433730 579650595 695580714 1043371071 1159301190 1738951785 2086742142 3130113213 3477903570 5216855355 6260226426 10433710710 15650566065 31301132130