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131142420441 = 33232917094261
BaseRepresentation
bin111101000100010110…
…0101000011111011001
3110112111112121012212000
41322020230220133121
54122034424423231
6140125045111213
712321555116124
oct1721054503731
9415445535760
10131142420441
115068752855a
12214bb3b8509
13c49c788966
1464c10cb3bb
1536282c86e6
hex1e88b287d9

131142420441 has 64 divisors (see below), whose sum is σ = 209894976000. Its totient is φ = 80677175040.

The previous prime is 131142420439. The next prime is 131142420463. The reversal of 131142420441 is 144024241131.

131142420441 is a `hidden beast` number, since 1 + 31 + 1 + 424 + 204 + 4 + 1 = 666.

It is not a de Polignac number, because 131142420441 - 21 = 131142420439 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (131142420041) 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 63 ways as a sum of consecutive naturals, for example, 30775251 + ... + 30779511.

It is an arithmetic number, because the mean of its divisors is an integer number (3279609000).

Almost surely, 2131142420441 is an apocalyptic number.

It is an amenable number.

131142420441 is a deficient number, since it is larger than the sum of its proper divisors (78752555559).

131142420441 is a wasteful number, since it uses less digits than its factorization.

131142420441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6031 (or 6025 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 131142420441 its reverse (144024241131), we get a palindrome (275166661572).

The spelling of 131142420441 in words is "one hundred thirty-one billion, one hundred forty-two million, four hundred twenty thousand, four hundred forty-one".

Divisors: 1 3 9 23 27 29 69 87 207 261 621 667 783 1709 2001 4261 5127 6003 12783 15381 18009 38349 39307 46143 49561 98003 115047 117921 123569 148683 294009 353763 370707 446049 882027 1061289 1112121 1139903 1338147 2646081 2842087 3336363 3419709 7282049 8526261 10259127 21846147 25578783 30777381 65538441 76736349 167487127 196615323 211179421 502461381 633538263 1507384143 1900614789 4522152429 4857126683 5701844367 14571380049 43714140147 131142420441