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130010332000131 = 32111797039796063
BaseRepresentation
bin11101100011111001100011…
…101001111110111110000011
3122001022212101120111021110100
4131203321203221332332003
5114020042124443001011
61140301531052333443
736245636140232022
oct3543714351767603
9561285346437410
10130010332000131
1138475088062910
12126b8a59174283
135770bc9c9592b
1424167684648b9
151006d01686d56
hex763e63a7ef83

130010332000131 has 48 divisors (see below), whose sum is σ = 216918141972480. Its totient is φ = 74158333781760.

The previous prime is 130010332000123. The next prime is 130010332000169. The reversal of 130010332000131 is 131000233010031.

It is a happy number.

130010332000131 is a `hidden beast` number, since 1 + 300 + 1 + 0 + 33 + 200 + 0 + 131 = 666.

It is not a de Polignac number, because 130010332000131 - 23 = 130010332000123 is a prime.

It is a super-2 number, since 2×1300103320001312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130010332000181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162918606 + ... + 163714668.

It is an arithmetic number, because the mean of its divisors is an integer number (4519127957760).

Almost surely, 2130010332000131 is an apocalyptic number.

130010332000131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130010332000131 is a deficient number, since it is larger than the sum of its proper divisors (86907809972349).

130010332000131 is a wasteful number, since it uses less digits than its factorization.

130010332000131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893136 (or 893133 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 130010332000131 its reverse (131000233010031), we get a palindrome (261010565010162).

The spelling of 130010332000131 in words is "one hundred thirty trillion, ten billion, three hundred thirty-two million, one hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 97039 291117 796063 873351 1067429 1649663 2388189 3202287 4948989 7164567 8756693 9606861 13533071 14846967 18146293 26270079 40599213 54438879 78810237 121797639 148863781 163316637 446591343 1339774029 77249157457 231747472371 695242417113 849740732027 1313235676769 2549222196081 3939707030307 7647666588243 11819121090921 14445592444459 43336777333377 130010332000131