Search a number
-
+
100313222331 = 372682402873
BaseRepresentation
bin101110101101100100…
…0100100110010111011
3100120221000000200111210
41131123020210302323
53120420141103311
6114025552254203
710150566215100
oct1353310446273
9316830020453
10100313222331
11395a7220733
1217536841363
1395c86899ba
144bd88b6aa7
1529219ab3a6
hex175b224cbb

100313222331 has 12 divisors (see below), whose sum is σ = 155587855272. Its totient is φ = 57321841248.

The previous prime is 100313222323. The next prime is 100313222333. The reversal of 100313222331 is 133222313001.

It is not a de Polignac number, because 100313222331 - 23 = 100313222323 is a prime.

It is a super-2 number, since 2×1003132223312 (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 junction number, because it is equal to n+sod(n) for n = 100313222298 and 100313222307.

It is not an unprimeable number, because it can be changed into a prime (100313222333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 341201290 + ... + 341201583.

It is an arithmetic number, because the mean of its divisors is an integer number (12965654606).

Almost surely, 2100313222331 is an apocalyptic number.

100313222331 is a deficient number, since it is larger than the sum of its proper divisors (55274632941).

100313222331 is an equidigital number, since it uses as much as digits as its factorization.

100313222331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682402890 (or 682402883 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 100313222331 its reverse (133222313001), we get a palindrome (233535535332).

The spelling of 100313222331 in words is "one hundred billion, three hundred thirteen million, two hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 3 7 21 49 147 682402873 2047208619 4776820111 14330460333 33437740777 100313222331