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12031300102032 = 2432412037821833
BaseRepresentation
bin1010111100010100000101…
…0111100110011110010000
31120121011212222202000212200
42233011001113212132100
53034110100311231112
641331034123523200
72351142555335211
oct257050127463620
946534788660780
1012031300102032
11391949a285822
1214238b6089500
13693715227213
142d8464973408
1515ce65c59cdc
hexaf1415e6790

12031300102032 has 60 divisors (see below), whose sum is σ = 34492172362284. Its totient is φ = 3912617917440.

The previous prime is 12031300102027. The next prime is 12031300102037. The reversal of 12031300102032 is 23020100313021.

12031300102032 is a `hidden beast` number, since 120 + 31 + 300 + 10 + 203 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12031300102027) and next prime (12031300102037).

It can be written as a sum of positive squares in 2 ways, for example, as 4546720348416 + 7484579753616 = 2132304^2 + 2735796^2 .

It is a super-2 number, since 2×120313001020322 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12031300101996 and 12031300102014.

It is not an unprimeable number, because it can be changed into a prime (12031300102037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1018905013 + ... + 1018916820.

Almost surely, 212031300102032 is an apocalyptic number.

12031300102032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12031300102032 is an abundant number, since it is smaller than the sum of its proper divisors (22460872260252).

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

12031300102032 is a wasteful number, since it uses less digits than its factorization.

12031300102032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037821888 (or 2037821879 counting only the distinct ones).

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

Adding to 12031300102032 its reverse (23020100313021), we get a palindrome (35051400415053).

The spelling of 12031300102032 in words is "twelve trillion, thirty-one billion, three hundred million, one hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 2037821833 4075643666 6113465499 8151287332 12226930998 16302574664 18340396497 24453861996 32605149328 36680792994 48907723992 73361585988 83550695153 97815447984 146723171976 167101390306 250652085459 293446343952 334202780612 501304170918 668405561224 751956256377 1002608341836 1336811122448 1503912512754 2005216683672 3007825025508 4010433367344 6015650051016 12031300102032