Search a number
-
+
102223312131 = 31371931288697
BaseRepresentation
bin101111100110011111…
…0111111010100000011
3100202212010012022010110
41133030332333110003
53133323131442011
6114543304202403
710246121550033
oct1371476772403
9322763168113
10102223312131
113a397438446
121798a469403
139841313c55
144d3a4498c3
1529d450dba6
hex17ccfbf503

102223312131 has 16 divisors (see below), whose sum is σ = 138004091424. Its totient is φ = 67300859904.

The previous prime is 102223312129. The next prime is 102223312151. The reversal of 102223312131 is 131213322201.

It is not a de Polignac number, because 102223312131 - 21 = 102223312129 is a prime.

It is a super-2 number, since 2×1022233121312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102223312098 and 102223312107.

It is not an unprimeable number, because it can be changed into a prime (102223312151) 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, 565026 + ... + 723671.

It is an arithmetic number, because the mean of its divisors is an integer number (8625255714).

Almost surely, 2102223312131 is an apocalyptic number.

102223312131 is a deficient number, since it is larger than the sum of its proper divisors (35780779293).

102223312131 is a wasteful number, since it uses less digits than its factorization.

102223312131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289030.

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

Adding to 102223312131 its reverse (131213322201), we get a palindrome (233436634332).

The spelling of 102223312131 in words is "one hundred two billion, two hundred twenty-three million, three hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 137 193 411 579 26441 79323 1288697 3866091 176551489 248718521 529654467 746155563 34074437377 102223312131