Search a number
-
+
102220102096 = 2474991829017
BaseRepresentation
bin101111100110011001…
…0101111100111010000
3100202211220011012210021
41133030302233213100
53133321321231341
6114543111313224
710246052350240
oct1371462574720
9322756135707
10102220102096
113a395645722
121798937b814
13984075bb18
144d39c51b20
1529d40c79d1
hex17cccaf9d0

102220102096 has 40 divisors (see below), whose sum is σ = 226798232000. Its totient is φ = 43720798464.

The previous prime is 102220102093. The next prime is 102220102129. The reversal of 102220102096 is 690201022201.

102220102096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 102220102096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102220102093) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 858621 + ... + 970396.

It is an arithmetic number, because the mean of its divisors is an integer number (5669955800).

Almost surely, 2102220102096 is an apocalyptic number.

102220102096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102220102096 is an abundant number, since it is smaller than the sum of its proper divisors (124578129904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102220102096 is a wasteful number, since it uses less digits than its factorization.

102220102096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829531 (or 1829525 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 102220102096 its reverse (690201022201), we get a palindrome (792421124297).

The spelling of 102220102096 in words is "one hundred two billion, two hundred twenty million, one hundred two thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 499 998 1996 3493 3992 6986 7984 13972 27944 55888 1829017 3658034 7316068 12803119 14632136 25606238 29264272 51212476 102424952 204849904 912679483 1825358966 3650717932 6388756381 7301435864 12777512762 14602871728 25555025524 51110051048 102220102096