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130340020043031 = 3277212973671769
BaseRepresentation
bin11101101000101100100110…
…100110000011110100010111
3122002111101101002201010212220
4131220230212212003310113
5114040442330112334111
61141113213435313423
736311520126323331
oct3550544646036427
9562441332633786
10130340020043031
113859198a3a2157
1212750928bab873
13579601b663216
1424286c2408451
15101069a39ce06
hex768b26983d17

130340020043031 has 16 divisors (see below), whose sum is σ = 174496007551200. Its totient is φ = 86538984311808.

The previous prime is 130340020043021. The next prime is 130340020043087.

130340020043031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 130340020043031 - 214 = 130340020026647 is a prime.

It is a super-2 number, since 2×1303400200430312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130340020042992 and 130340020043010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130340020043021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35066686 + ... + 38605083.

It is an arithmetic number, because the mean of its divisors is an integer number (10906000471950).

Almost surely, 2130340020043031 is an apocalyptic number.

130340020043031 is a deficient number, since it is larger than the sum of its proper divisors (44155987508169).

130340020043031 is a wasteful number, since it uses less digits than its factorization.

130340020043031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73674178.

The product of its (nonzero) digits is 2592, while the sum is 24.

The spelling of 130340020043031 in words is "one hundred thirty trillion, three hundred forty billion, twenty million, forty-three thousand, thirty-one".

Divisors: 1 3 277 831 2129 6387 589733 1769199 73671769 221015307 20407080013 61221240039 156847196201 470541588603 43446673347677 130340020043031