Search a number
-
+
103122014331 = 3717216991599
BaseRepresentation
bin110000000001010001…
…1010001000001111011
3100212011202021002210010
41200002203101001323
53142143213424311
6115212410353003
710310313442050
oct1400243210173
9325152232703
10103122014331
113a808763736
1217b9b42b763
1399555749bb
144dc3949027
152a38380da6
hex18028d107b

103122014331 has 24 divisors (see below), whose sum is σ = 166925478400. Its totient is φ = 55460575872.

The previous prime is 103122014329. The next prime is 103122014357. The reversal of 103122014331 is 133410221301.

It is not a de Polignac number, because 103122014331 - 21 = 103122014329 is a prime.

It is a super-2 number, since 2×1031220143312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103122014298 and 103122014307.

It is not an unprimeable number, because it can be changed into a prime (103122014431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8489731 + ... + 8501868.

Almost surely, 2103122014331 is an apocalyptic number.

103122014331 is a deficient number, since it is larger than the sum of its proper divisors (63803464069).

103122014331 is a wasteful number, since it uses less digits than its factorization.

103122014331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16991643 (or 16991626 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 103122014331 its reverse (133410221301), we get a palindrome (236532235632).

The spelling of 103122014331 in words is "one hundred three billion, one hundred twenty-two million, fourteen thousand, three hundred thirty-one".

Divisors: 1 3 7 17 21 51 119 289 357 867 2023 6069 16991599 50974797 118941193 288857183 356823579 866571549 2022000281 4910572111 6066000843 14731716333 34374004777 103122014331