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130953823 = 72112131699
BaseRepresentation
bin1111100111000…
…11001001011111
3100010102010212121
413303203021133
5232011010243
620554443411
73150042400
oct763431137
9303363777
10130953823
1167a13600
1237a33567
1321190990
141356b9a7
15b76b1ed
hex7ce325f

130953823 has 36 divisors (see below), whose sum is σ = 180427800. Its totient is φ = 94137120.

The previous prime is 130953817. The next prime is 130953829. The reversal of 130953823 is 328359031.

It is an interprime number because it is at equal distance from previous prime (130953817) and next prime (130953829).

It is not a de Polignac number, because 130953823 - 29 = 130953311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130953829) 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 35 ways as a sum of consecutive naturals, for example, 76228 + ... + 77926.

Almost surely, 2130953823 is an apocalyptic number.

130953823 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

130953823 is a deficient number, since it is larger than the sum of its proper divisors (49473977).

130953823 is a wasteful number, since it uses less digits than its factorization.

130953823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 130953823 is about 11443.5057128487. The cubic root of 130953823 is about 507.8156260977.

The spelling of 130953823 in words is "one hundred thirty million, nine hundred fifty-three thousand, eight hundred twenty-three".

Divisors: 1 7 11 13 49 77 91 121 143 539 637 847 1001 1573 1699 5929 7007 11011 11893 18689 22087 77077 83251 130823 154609 205579 242957 915761 1082263 1439053 1700699 2672527 10073371 11904893 18707689 130953823