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130441030400997 = 33371087523722937
BaseRepresentation
bin11101101010001010101011…
…010001111111101111100101
3122002212001002200111222201000
4131222022223101333233211
5114044121212240312442
61141231440534023513
736322024222233021
oct3552125321775745
9562761080458630
10130441030400997
1138620804086138
12127684191a7b99
1357a26c85985c4
14242d545711381
15101310d162d4c
hex76a2ab47fbe5

130441030400997 has 64 divisors (see below), whose sum is σ = 198698013757440. Its totient is φ = 84512733516288.

The previous prime is 130441030400969. The next prime is 130441030401103. The reversal of 130441030400997 is 799004030144031.

130441030400997 is a `hidden beast` number, since 13 + 0 + 44 + 103 + 0 + 400 + 9 + 97 = 666.

It is not a de Polignac number, because 130441030400997 - 210 = 130441030399973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130441030400927) 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 63 ways as a sum of consecutive naturals, for example, 5686914913 + ... + 5686937849.

It is an arithmetic number, because the mean of its divisors is an integer number (3104656464960).

Almost surely, 2130441030400997 is an apocalyptic number.

It is an amenable number.

130441030400997 is a deficient number, since it is larger than the sum of its proper divisors (68256983356443).

130441030400997 is a wasteful number, since it uses less digits than its factorization.

130441030400997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29307 (or 29301 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 130441030400997 in words is "one hundred thirty trillion, four hundred forty-one billion, thirty million, four hundred thousand, nine hundred ninety-seven".

Divisors: 1 3 9 27 37 111 333 999 1087 3261 5237 9783 15711 22937 29349 40219 47133 68811 120657 141399 193769 206433 361971 581307 619299 848669 1085913 1743921 2546007 5231763 5692619 7638021 17077857 22914063 24932519 51233571 74797557 120121069 153700713 210626903 224392671 360363207 631880709 673178013 922503203 1081089621 1895642127 2767509609 3243268863 4444479553 5686926381 8302528827 13333438659 24907586481 40000315977 120000947931 130571602003 391714806009 1175144418027 3525433254081 4831149274111 14493447822333 43480343466999 130441030400997