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312231102141 = 3722973242107
BaseRepresentation
bin1001000101100100110…
…11001000011010111101
31002211220220220101122010
410202302123020122331
520103422130232031
6355234220041433
731362243402300
oct4426233103275
91084826811563
10312231102141
11110464354382
1250619693279
132359bb1a25a
141117d71ab37
1581c637e246
hex48b26c86bd

312231102141 has 24 divisors (see below), whose sum is σ = 500976018720. Its totient is φ = 172265433312.

The previous prime is 312231102137. The next prime is 312231102143. The reversal of 312231102141 is 141201132213.

It is not a de Polignac number, because 312231102141 - 22 = 312231102137 is a prime.

It is a super-2 number, since 2×3122311021412 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312231102143) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 36616791 + ... + 36625316.

It is an arithmetic number, because the mean of its divisors is an integer number (20874000780).

Almost surely, 2312231102141 is an apocalyptic number.

It is an amenable number.

312231102141 is a deficient number, since it is larger than the sum of its proper divisors (188744916579).

312231102141 is a wasteful number, since it uses less digits than its factorization.

312231102141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73242153 (or 73242146 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 312231102141 its reverse (141201132213), we get a palindrome (453432234354).

The spelling of 312231102141 in words is "three hundred twelve billion, two hundred thirty-one million, one hundred two thousand, one hundred forty-one".

Divisors: 1 3 7 21 29 49 87 147 203 609 1421 4263 73242107 219726321 512694749 1538084247 2124021103 3588863243 6372063309 10766589729 14868147721 44604443163 104077034047 312231102141