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253101329 = 1323148311
BaseRepresentation
bin11110001011000…
…00010100010001
3122122020212202022
433011200110101
51004243220304
641040501225
76162216515
oct1705402421
9578225668
10253101329
1111a961858
127091a815
134058a200
1425886145
1517347ebe
hexf160511

253101329 has 12 divisors (see below), whose sum is σ = 282915072. Its totient is φ = 226090800.

The previous prime is 253101281. The next prime is 253101367. The reversal of 253101329 is 923101352.

It is a de Polignac number, because none of the positive numbers 2k-253101329 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 253101298 and 253101307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253101029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18917 + ... + 29394.

It is an arithmetic number, because the mean of its divisors is an integer number (23576256).

Almost surely, 2253101329 is an apocalyptic number.

It is an amenable number.

253101329 is a deficient number, since it is larger than the sum of its proper divisors (29813743).

253101329 is a wasteful number, since it uses less digits than its factorization.

253101329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48368 (or 48355 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 253101329 is about 15909.1586515441. The cubic root of 253101329 is about 632.5547799472.

The spelling of 253101329 in words is "two hundred fifty-three million, one hundred one thousand, three hundred twenty-nine".

Divisors: 1 13 31 169 403 5239 48311 628043 1497641 8164559 19469333 253101329