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8311117253 = 337123719937
BaseRepresentation
bin1111011110110000…
…11001010111000101
3210110012211111112112
413233120121113011
5114010121223003
63452412030405
7412646221355
oct75730312705
923405744475
108311117253
11358545544a
12173b462405
13a25b3417a
1458bb32b65
153399a33d8
hex1ef6195c5

8311117253 has 8 divisors (see below), whose sum is σ = 8342936472. Its totient is φ = 8279341056.

The previous prime is 8311117247. The next prime is 8311117259. The reversal of 8311117253 is 3527111138.

It is an interprime number because it is at equal distance from previous prime (8311117247) and next prime (8311117259).

It can be written as a sum of positive squares in 4 ways, for example, as 436684609 + 7874432644 = 20897^2 + 88738^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8311117253 - 28 = 8311116997 is a prime.

It is a super-2 number, since 2×83111172532 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8311117259) 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 7 ways as a sum of consecutive naturals, for example, 406901 + ... + 426837.

It is an arithmetic number, because the mean of its divisors is an integer number (1042867059).

Almost surely, 28311117253 is an apocalyptic number.

It is an amenable number.

8311117253 is a deficient number, since it is larger than the sum of its proper divisors (31819219).

8311117253 is a wasteful number, since it uses less digits than its factorization.

8311117253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21511.

The product of its digits is 5040, while the sum is 32.

The square root of 8311117253 is about 91165.3292266309. The cubic root of 8311117253 is about 2025.5974259624.

The spelling of 8311117253 in words is "eight billion, three hundred eleven million, one hundred seventeen thousand, two hundred fifty-three".

Divisors: 1 337 1237 19937 416869 6718769 24662069 8311117253