Search a number
-
+
102200023131 = 3411440157697
BaseRepresentation
bin101111100101110011…
…0001001100001011011
3100202210111101002121220
41133023212021201123
53133301201220011
6114541113103123
710245416602053
oct1371346114133
9322714332556
10102200023131
113a385281038
12179826b7aa3
13983954b78b
144d37306563
1529d245d506
hex17cb98985b

102200023131 has 16 divisors (see below), whose sum is σ = 139602388128. Its totient is φ = 66465792000.

The previous prime is 102200023127. The next prime is 102200023147. The reversal of 102200023131 is 131320002201.

It is not a de Polignac number, because 102200023131 - 22 = 102200023127 is a prime.

It is a super-2 number, since 2×1022000231312 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102200023131.

It is not an unprimeable number, because it can be changed into a prime (102200023031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1742475 + ... + 1800171.

It is an arithmetic number, because the mean of its divisors is an integer number (8725149258).

Almost surely, 2102200023131 is an apocalyptic number.

102200023131 is a deficient number, since it is larger than the sum of its proper divisors (37402364997).

102200023131 is a wasteful number, since it uses less digits than its factorization.

102200023131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72142.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102200023131 its reverse (131320002201), we get a palindrome (233520025332).

The spelling of 102200023131 in words is "one hundred two billion, two hundred million, twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 41 123 14401 43203 57697 173091 590441 1771323 2365577 7096731 830894497 2492683491 34066674377 102200023131