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129931002 = 232231571999
BaseRepresentation
bin1111011111010…
…01011011111010
3100001111011211100
413233221123322
5231230243002
620520512230
73135252405
oct757513372
9301434740
10129931002
11673850a3
123761b676
1320bc3266
1413382d3c
15b61811c
hex7be96fa

129931002 has 48 divisors (see below), whose sum is σ = 295776000. Its totient is φ = 41142816.

The previous prime is 129930989. The next prime is 129931003. The reversal of 129931002 is 200139921.

It is not an unprimeable number, because it can be changed into a prime (129931003) 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, 63999 + ... + 65997.

It is an arithmetic number, because the mean of its divisors is an integer number (6162000).

Almost surely, 2129931002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129931002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147888000).

129931002 is an abundant number, since it is smaller than the sum of its proper divisors (165844998).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

129931002 is a wasteful number, since it uses less digits than its factorization.

129931002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 129931002 is about 11398.7280869402. The cubic root of 129931002 is about 506.4900630078.

The spelling of 129931002 in words is "one hundred twenty-nine million, nine hundred thirty-one thousand, two".

Divisors: 1 2 3 6 9 18 23 46 69 138 157 207 314 414 471 942 1413 1999 2826 3611 3998 5997 7222 10833 11994 17991 21666 32499 35982 45977 64998 91954 137931 275862 313843 413793 627686 827586 941529 1883058 2824587 5649174 7218389 14436778 21655167 43310334 64965501 129931002