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130440011201300 = 22524465729209309
BaseRepresentation
bin11101101010001001101110…
…100010000011101100010100
3122002211221110122201021120002
4131222021232202003230110
5114044112120331420200
61141231151445030432
736321660035205233
oct3552115642035424
9562757418637502
10130440011201300
1138620330839339
12127681939b5418
1357a2595398368
14242d48a206b1a
15101309d93cbd5
hex76a26e883b14

130440011201300 has 36 divisors (see below), whose sum is σ = 283061172417660. Its totient is φ = 52174834321920.

The previous prime is 130440011201293. The next prime is 130440011201393. The reversal of 130440011201300 is 3102110044031.

It can be written as a sum of positive squares in 6 ways, for example, as 7149056707984 + 123290954493316 = 2673772^2 + 11103646^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10138955 + ... + 19070354.

It is an arithmetic number, because the mean of its divisors is an integer number (7862810344935).

Almost surely, 2130440011201300 is an apocalyptic number.

130440011201300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130440011201300 is an abundant number, since it is smaller than the sum of its proper divisors (152621161216360).

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

130440011201300 is a wasteful number, since it uses less digits than its factorization.

130440011201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29253980 (or 29253973 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 130440011201300 its reverse (3102110044031), we get a palindrome (133542121245331).

The spelling of 130440011201300 in words is "one hundred thirty trillion, four hundred forty billion, eleven million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 44657 89314 178628 223285 446570 893140 1116425 2232850 4465700 29209309 58418618 116837236 146046545 292093090 584186180 730232725 1460465450 2920930900 1304400112013 2608800224026 5217600448052 6522000560065 13044001120130 26088002240260 32610002800325 65220005600650 130440011201300