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130909031 = 111923113241
BaseRepresentation
bin1111100110110…
…00001101100111
3100010022212102122
413303120031213
5232003042111
620553500155
73146464661
oct763301547
9303285378
10130909031
1167992990
1237a1165b
1321176486
1413559531
15b75ccdb
hex7cd8367

130909031 has 32 divisors (see below), whose sum is σ = 158906880. Its totient is φ = 106444800.

The previous prime is 130909007. The next prime is 130909033.

130909031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 130909031 - 214 = 130892647 is a prime.

It is a super-2 number, since 2×1309090312 = 34274348794717922, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130909033) 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, 543071 + ... + 543311.

It is an arithmetic number, because the mean of its divisors is an integer number (4965840).

Almost surely, 2130909031 is an apocalyptic number.

130909031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130909031 is a deficient number, since it is larger than the sum of its proper divisors (27997849).

130909031 is a wasteful number, since it uses less digits than its factorization.

130909031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407.

The product of its (nonzero) digits is 729, while the sum is 26.

The square root of 130909031 is about 11441.5484528974. The cubic root of 130909031 is about 507.7577210263.

The spelling of 130909031 in words is "one hundred thirty million, nine hundred nine thousand, thirty-one".

Divisors: 1 11 19 23 113 209 241 253 437 1243 2147 2599 2651 4579 4807 5543 23617 27233 28589 49381 50369 60973 105317 299563 517427 543191 626359 1158487 5691697 6889949 11900821 130909031