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130202031 = 31723310957
BaseRepresentation
bin1111100001010…
…11100110101111
3100001222221121110
413300223212233
5231312431111
620530403103
73140461521
oct760534657
9301887543
10130202031
116754a793
1237730493
1320c8972b
1413413a11
15b66d5a6
hex7c2b9af

130202031 has 16 divisors (see below), whose sum is σ = 184620384. Its totient is φ = 81337344.

The previous prime is 130202021. The next prime is 130202047.

It is a happy number.

130202031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 130202031 - 213 = 130193839 is a prime.

It is a super-2 number, since 2×1302020312 = 33905137753049922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130201998 and 130202016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130202021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6405 + ... + 17361.

It is an arithmetic number, because the mean of its divisors is an integer number (11538774).

Almost surely, 2130202031 is an apocalyptic number.

130202031 is a deficient number, since it is larger than the sum of its proper divisors (54418353).

130202031 is a wasteful number, since it uses less digits than its factorization.

130202031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11210.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 130202031 is about 11410.6104569388. The cubic root of 130202031 is about 506.8419886588.

It can be divided in two parts, 13020 and 2031, that added together give a palindrome (15051).

The spelling of 130202031 in words is "one hundred thirty million, two hundred two thousand, thirty-one".

Divisors: 1 3 17 51 233 699 3961 10957 11883 32871 186269 558807 2552981 7658943 43400677 130202031