Search a number
-
+
107103333438 = 23213145421261
BaseRepresentation
bin110001110111111011…
…0110010110000111110
3101020110012211001212100
41203233312302300332
53223321423132223
6121111432045530
710511056212303
oct1435766626076
9336405731770
10107103333438
1141471048702
12189108338a6
13a13b35551a
1452805d90aa
152bbcb66043
hex18efdb2c3e

107103333438 has 24 divisors (see below), whose sum is σ = 233828656776. Its totient is φ = 35428582800.

The previous prime is 107103333437. The next prime is 107103333473. The reversal of 107103333438 is 834333301701.

It is a happy number.

It is a super-2 number, since 2×1071033334382 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107103333437) 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 11 ways as a sum of consecutive naturals, for example, 22708273 + ... + 22712988.

It is an arithmetic number, because the mean of its divisors is an integer number (9742860699).

Almost surely, 2107103333438 is an apocalyptic number.

107103333438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

107103333438 is an abundant number, since it is smaller than the sum of its proper divisors (126725323338).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107103333438 is a wasteful number, since it uses less digits than its factorization.

107103333438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45421400 (or 45421397 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 107103333438 in words is "one hundred seven billion, one hundred three million, three hundred thirty-three thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 18 131 262 393 786 1179 2358 45421261 90842522 136263783 272527566 408791349 817582698 5950185191 11900370382 17850555573 35701111146 53551666719 107103333438