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130313130233 = 111317232330641
BaseRepresentation
bin111100101011101000…
…1001001000011111001
3110110100202010220112212
41321113101021003321
54113340130131413
6135510502344505
712262165221326
oct1712721110371
9413322126485
10130313130233
11502a1401550
122130972b135
13c399a1bbb0
146442cd9b4d
1535ca5b7ca8
hex1e574490f9

130313130233 has 32 divisors (see below), whose sum is σ = 169148673792. Its totient is φ = 98446233600.

The previous prime is 130313130221. The next prime is 130313130251. The reversal of 130313130233 is 332031313031.

It is not a de Polignac number, because 130313130233 - 26 = 130313130169 is a prime.

It is a super-2 number, since 2×1303131302332 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130313130199 and 130313130208.

It is not an unprimeable number, because it can be changed into a prime (130313130263) 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 31 ways as a sum of consecutive naturals, for example, 1109408 + ... + 1221233.

It is an arithmetic number, because the mean of its divisors is an integer number (5285896056).

Almost surely, 2130313130233 is an apocalyptic number.

130313130233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130313130233 is a deficient number, since it is larger than the sum of its proper divisors (38835543559).

130313130233 is a wasteful number, since it uses less digits than its factorization.

130313130233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330705.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 130313130233 its reverse (332031313031), we get a palindrome (462344443264).

The spelling of 130313130233 in words is "one hundred thirty billion, three hundred thirteen million, one hundred thirty thousand, two hundred thirty-three".

Divisors: 1 11 13 17 23 143 187 221 253 299 391 2431 3289 4301 5083 55913 2330641 25637051 30298333 39620897 53604743 333281663 435829867 515071661 589652173 696861659 911280631 5665788271 7665478249 10024086941 11846648203 130313130233