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100113023220 = 223572323834349
BaseRepresentation
bin101110100111100110…
…0111000000011110100
3100120102001022111221220
41131033030320003310
53120012413220340
6113554041310340
710142615441160
oct1351714700364
9316361274856
10100113023220
1139504212121
121749b7953b0
139596062ba2
144bba081ca0
15290e112ed0
hex174f3380f4

100113023220 has 192 divisors, whose sum is σ = 334507622400. Its totient is φ = 21873848832.

The previous prime is 100113023207. The next prime is 100113023237. The reversal of 100113023220 is 22320311001.

100113023220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100113023220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23017606 + ... + 23021954.

It is an arithmetic number, because the mean of its divisors is an integer number (1742227200).

Almost surely, 2100113023220 is an apocalyptic number.

100113023220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100113023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167253811200).

100113023220 is an abundant number, since it is smaller than the sum of its proper divisors (234394599180).

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

100113023220 is a wasteful number, since it uses less digits than its factorization.

100113023220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6774 (or 6772 counting only the distinct ones).

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

Adding to 100113023220 its reverse (22320311001), we get a palindrome (122433334221).

The spelling of 100113023220 in words is "one hundred billion, one hundred thirteen million, twenty-three thousand, two hundred twenty".