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130240042031 = 11174127162683
BaseRepresentation
bin111100101001011101…
…0010101010000101111
3110110011122121122101102
41321102322111100233
54113212422321111
6135455332033315
712260320043231
oct1712272252057
9413148548342
10130240042031
1150264121280
12212a916283b
13c38783b838
146437312251
1535c3e7c13b
hex1e52e9542f

130240042031 has 32 divisors (see below), whose sum is σ = 154678035456. Its totient is φ = 108314496000.

The previous prime is 130240042013. The next prime is 130240042043.

130240042031 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 130240042031 - 214 = 130240025647 is a prime.

It is a super-2 number, since 2×1302400420312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130240041994 and 130240042012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130240042061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2046416 + ... + 2109098.

It is an arithmetic number, because the mean of its divisors is an integer number (4833688608).

Almost surely, 2130240042031 is an apocalyptic number.

130240042031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130240042031 is a deficient number, since it is larger than the sum of its proper divisors (24437993425).

130240042031 is a wasteful number, since it uses less digits than its factorization.

130240042031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63023.

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 1302400 and 42031, that added together give a palindrome (1344431).

The spelling of 130240042031 in words is "one hundred thirty billion, two hundred forty million, forty-two thousand, thirty-one".

Divisors: 1 11 17 41 187 271 451 697 2981 4607 7667 11111 50677 62683 122221 188887 689513 1065611 2077757 2570003 11721721 16987093 28270033 43690051 186858023 288780581 480590561 696470813 3176586391 7661178943 11840003821 130240042031