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20315277117 = 3317383115561
BaseRepresentation
bin10010111010111000…
…101000011100111101
31221102210210000011000
4102322320220130331
5313101202331432
613155510520513
71316301002112
oct227270503475
957383700130
1020315277117
118685498423
123b2b666139
131bb9ac4245
14daa114909
157dd79657c
hex4bae2873d

20315277117 has 32 divisors (see below), whose sum is σ = 31950581760. Its totient is φ = 12713448960.

The previous prime is 20315277107. The next prime is 20315277127. The reversal of 20315277117 is 71177251302.

It is a happy number.

20315277117 is a `hidden beast` number, since 20 + 31 + 527 + 71 + 17 = 666.

It is an interprime number because it is at equal distance from previous prime (20315277107) and next prime (20315277127).

It is not a de Polignac number, because 20315277117 - 224 = 20298499901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20315277107) 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, 118017 + ... + 233577.

It is an arithmetic number, because the mean of its divisors is an integer number (998455680).

Almost surely, 220315277117 is an apocalyptic number.

20315277117 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

20315277117 is a deficient number, since it is larger than the sum of its proper divisors (11635304643).

20315277117 is a wasteful number, since it uses less digits than its factorization.

20315277117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115970 (or 115964 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The spelling of 20315277117 in words is "twenty billion, three hundred fifteen million, two hundred seventy-seven thousand, one hundred seventeen".

Divisors: 1 3 9 17 27 51 153 383 459 1149 3447 6511 10341 19533 58599 115561 175797 346683 1040049 1964537 3120147 5893611 17680833 44259863 53042499 132779589 398338767 752417671 1195016301 2257253013 6771759039 20315277117