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131929000021 = 71317631113513
BaseRepresentation
bin111101011011110010…
…1001100100001010101
3110121112100200121012001
41322313211030201111
54130142311000041
6140335104155301
712350215666060
oct1726745144125
9417470617161
10131929000021
1150a50532425
122169a908b31
13c596720170
1465577618d7
15367239e131
hex1eb794c855

131929000021 has 32 divisors (see below), whose sum is σ = 171965541888. Its totient is φ = 98220349440.

The previous prime is 131928999989. The next prime is 131929000033. The reversal of 131929000021 is 120000929131.

It is a cyclic number.

It is not a de Polignac number, because 131929000021 - 25 = 131928999989 is a prime.

It is a super-2 number, since 2×1319290000212 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131929000081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9756361 + ... + 9769873.

It is an arithmetic number, because the mean of its divisors is an integer number (5373923184).

Almost surely, 2131929000021 is an apocalyptic number.

131929000021 is the 229721-st heptagonal number.

It is an amenable number.

131929000021 is a deficient number, since it is larger than the sum of its proper divisors (40036541867).

131929000021 is a wasteful number, since it uses less digits than its factorization.

131929000021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19861.

The product of its (nonzero) digits is 972, while the sum is 28.

Adding to 131929000021 its reverse (120000929131), we get a palindrome (251929929152).

The spelling of 131929000021 in words is "one hundred thirty-one billion, nine hundred twenty-nine million, twenty-one", and thus it is an aban number.

Divisors: 1 7 13 17 91 119 221 1547 6311 13513 44177 82043 94591 107287 175669 229721 574301 751009 1229683 1394731 1608047 2986373 9763117 20904611 85280543 596963801 1108647059 1449769231 7760529413 10148384617 18847000003 131929000021