Search a number
-
+
100312231202313 = 31317151300499551
BaseRepresentation
bin10110110011101111000010…
…111010000100111000001001
3111011011202101212102000022220
4112303233002322010320021
5101122003422141433223
6553202445225004253
730062214413442564
oct2663570272047011
9434152355360286
10100312231202313
1129a651a6419839
12b301223323689
1343c8530c99970
141aab1d05574db
15b8e540b6d6e3
hex5b3bc2e84e09

100312231202313 has 16 divisors (see below), whose sum is σ = 152510903548416. Its totient is φ = 58099391827200.

The previous prime is 100312231202269. The next prime is 100312231202317. The reversal of 100312231202313 is 313202132213001.

It is not a de Polignac number, because 100312231202313 - 29 = 100312231201801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100312231202317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75650249113 + ... + 75650250438.

It is an arithmetic number, because the mean of its divisors is an integer number (9531931471776).

Almost surely, 2100312231202313 is an apocalyptic number.

100312231202313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100312231202313 is a deficient number, since it is larger than the sum of its proper divisors (52198672346103).

100312231202313 is a wasteful number, since it uses less digits than its factorization.

100312231202313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151300499584.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 100312231202313 its reverse (313202132213001), we get a palindrome (413514363415314).

The spelling of 100312231202313 in words is "one hundred trillion, three hundred twelve billion, two hundred thirty-one million, two hundred two thousand, three hundred thirteen".

Divisors: 1 3 13 17 39 51 221 663 151300499551 453901498653 1966906494163 2572108492367 5900719482489 7716325477101 33437410400771 100312231202313