Search a number
-
+
102202132123 = 7139711156643
BaseRepresentation
bin101111100101110111…
…0001100011010011011
3100202210122100020121201
41133023232030122123
53133302221211443
6114541230215031
710245443534530
oct1371356143233
9322718306551
10102202132123
113a386491603
1217983354477
139839b096c0
144d376d4d87
1529d272834d
hex17cbb8c69b

102202132123 has 16 divisors (see below), whose sum is σ = 125916892416. Its totient is φ = 80779877280.

The previous prime is 102202132121. The next prime is 102202132133. The reversal of 102202132123 is 321231202201.

It is a cyclic number.

It is not a de Polignac number, because 102202132123 - 21 = 102202132121 is a prime.

It is a super-3 number, since 3×1022021321233 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102202132123.

It is not an unprimeable number, because it can be changed into a prime (102202132121) 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, 489961 + ... + 666682.

It is an arithmetic number, because the mean of its divisors is an integer number (7869805776).

Almost surely, 2102202132123 is an apocalyptic number.

102202132123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

102202132123 is a deficient number, since it is larger than the sum of its proper divisors (23714760293).

102202132123 is a wasteful number, since it uses less digits than its factorization.

102202132123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157634.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 102202132123 its reverse (321231202201), we get a palindrome (423433334324).

The spelling of 102202132123 in words is "one hundred two billion, two hundred two million, one hundred thirty-two thousand, one hundred twenty-three".

Divisors: 1 7 13 91 971 6797 12623 88361 1156643 8096501 15036359 105254513 1123100353 7861702471 14600304589 102202132123