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313254030105 = 36585940749
BaseRepresentation
bin1001000111011110110…
…01010010101100011001
31002221120012201112000000
410203233121102230121
520113021012430410
6355523521003213
731426504215462
oct4435731225431
91087505645000
10313254030105
11110939808295
1250864183509
1323702a24483
1411239515d69
15823608ddc0
hex48ef652b19

313254030105 has 28 divisors (see below), whose sum is σ = 563599438500. Its totient is φ = 167068814112.

The previous prime is 313254030091. The next prime is 313254030137. The reversal of 313254030105 is 501030452313.

313254030105 is a `hidden beast` number, since 3 + 13 + 2 + 540 + 3 + 0 + 105 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58629842496 + 254624187609 = 242136^2 + 504603^2 .

It is not a de Polignac number, because 313254030105 - 212 = 313254026009 is a prime.

It is a super-2 number, since 2×3132540301052 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 42966730 + ... + 42974019.

It is an arithmetic number, because the mean of its divisors is an integer number (20128551375).

Almost surely, 2313254030105 is an apocalyptic number.

It is an amenable number.

313254030105 is a deficient number, since it is larger than the sum of its proper divisors (250345408395).

313254030105 is an frugal number, since it uses more digits than its factorization.

313254030105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85940772 (or 85940757 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 313254030105 its reverse (501030452313), we get a palindrome (814284482418).

The spelling of 313254030105 in words is "three hundred thirteen billion, two hundred fifty-four million, thirty thousand, one hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 729 1215 3645 85940749 257822247 429703745 773466741 1289111235 2320400223 3867333705 6961200669 11602001115 20883602007 34806003345 62650806021 104418010035 313254030105