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130344232240001 = 1397725349404849
BaseRepresentation
bin11101101000110000100001…
…101010010100001110000001
3122002111210020122200220212002
4131220300201222110032001
5114041024441423140001
61141115151425313345
736312026404364063
oct3550604152241601
9562453218626762
10130344232240001
113859375103a07a
1212751703795855
13579654021c770
1424289a19d7733
15101084508b46b
hex768c21a94381

130344232240001 has 16 divisors (see below), whose sum is σ = 140520277170000. Its totient is φ = 120189564162048.

The previous prime is 130344232239961. The next prime is 130344232240003. The reversal of 130344232240001 is 100042232443031.

It can be written as a sum of positive squares in 8 ways, for example, as 3843262259776 + 126500969980225 = 1960424^2 + 11247265^2 .

It is a cyclic number.

It is not a de Polignac number, because 130344232240001 - 234 = 130327052370817 is a prime.

It is a super-2 number, since 2×1303442322400012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130344232240003) 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 15 ways as a sum of consecutive naturals, for example, 321755225 + ... + 322160073.

It is an arithmetic number, because the mean of its divisors is an integer number (8782517323125).

Almost surely, 2130344232240001 is an apocalyptic number.

It is an amenable number.

130344232240001 is a deficient number, since it is larger than the sum of its proper divisors (10176044929999).

130344232240001 is a wasteful number, since it uses less digits than its factorization.

130344232240001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431188.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 130344232240001 its reverse (100042232443031), we get a palindrome (230386464683032).

The spelling of 130344232240001 in words is "one hundred thirty trillion, three hundred forty-four billion, two hundred thirty-two million, two hundred forty thousand, one".

Divisors: 1 13 977 12701 25349 329537 404849 5263037 24765973 321957649 395537473 5141987149 10262517301 133412724913 10026479403077 130344232240001