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131002232229 = 34113115713019
BaseRepresentation
bin111101000000001010…
…1110110110110100101
3110112010202210220210000
41322000111312312211
54121243032412404
6140103120251513
712315233413131
oct1720025666645
9415122726700
10131002232229
1150615388030
1221480470b99
13c479713a5b
1464aa6383c1
15361ad36339
hex1e80576da5

131002232229 has 80 divisors (see below), whose sum is σ = 220585052160. Its totient is φ = 76759812000.

The previous prime is 131002232209. The next prime is 131002232281. The reversal of 131002232229 is 922232200131.

131002232229 is a `hidden beast` number, since 1 + 310 + 0 + 2 + 2 + 322 + 29 = 666.

It is not a de Polignac number, because 131002232229 - 220 = 131001183653 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131002232209) 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 79 ways as a sum of consecutive naturals, for example, 43391082 + ... + 43394100.

It is an arithmetic number, because the mean of its divisors is an integer number (2757313152).

Almost surely, 2131002232229 is an apocalyptic number.

It is an amenable number.

131002232229 is a deficient number, since it is larger than the sum of its proper divisors (89582819931).

131002232229 is a wasteful number, since it uses less digits than its factorization.

131002232229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4644 (or 4635 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 131002232229 in words is "one hundred thirty-one billion, two million, two hundred thirty-two thousand, two hundred twenty-nine".

Divisors: 1 3 9 11 27 31 33 81 93 99 279 297 341 837 891 1023 1571 2511 3019 3069 4713 9057 9207 14139 17281 27171 27621 33209 42417 48701 51843 81513 93589 99627 127251 146103 155529 244539 280767 298881 438309 466587 535711 842301 896643 1029479 1314927 1399761 1607133 2526903 2689929 3088437 3944781 4742849 4821399 7580709 9265311 14228547 14464197 27795933 42685641 43392591 52171339 83387799 128056923 147028319 156514017 384170769 441084957 469542051 1323254871 1408626153 1617311509 3969764613 4225878459 4851934527 11909293839 14555803581 43667410743 131002232229