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131302131121 = 73838095701
BaseRepresentation
bin111101001001000110…
…1111000010110110001
3110112220200010100201101
41322102031320112301
54122401321143441
6140152552204401
712325534462000
oct1722215702661
9415820110641
10131302131121
11507596a2557
1221544999701
13c4c68a7815
1464d83c2c37
153637325231
hex1e923785b1

131302131121 has 32 divisors (see below), whose sum is σ = 155185632000. Its totient is φ = 111031804800.

The previous prime is 131302131113. The next prime is 131302131137. The reversal of 131302131121 is 121131203131.

It is not a de Polignac number, because 131302131121 - 23 = 131302131113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131302131151) 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 31 ways as a sum of consecutive naturals, for example, 23028571 + ... + 23034271.

It is an arithmetic number, because the mean of its divisors is an integer number (4849551000).

Almost surely, 2131302131121 is an apocalyptic number.

It is an amenable number.

131302131121 is a deficient number, since it is larger than the sum of its proper divisors (23883500879).

131302131121 is an frugal number, since it uses more digits than its factorization.

131302131121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6614 (or 6600 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 131302131121 its reverse (121131203131), we get a palindrome (252433334252).

The spelling of 131302131121 in words is "one hundred thirty-one billion, three hundred two million, one hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 7 49 83 343 581 809 4067 5663 5701 28469 39641 39907 67147 277487 279349 470029 473183 1955443 3290203 3312281 4612109 23031421 23185967 32284763 162301769 225993341 382805047 1581953387 2679635329 18757447303 131302131121