Search a number
-
+
100326433020 = 22351119101113701
BaseRepresentation
bin101110101101111101…
…0111110000011111100
3100120221220212212011120
41131123322332003330
53120432031324040
6114031143350540
710151116416162
oct1353372760374
9316856785146
10100326433020
1139603724060
121753b152450
1395cb333a88
144bda555232
152922c1a7d0
hex175bebe0fc

100326433020 has 384 divisors, whose sum is σ = 329126353920. Its totient is φ = 22579200000.

The previous prime is 100326432991. The next prime is 100326433043. The reversal of 100326433020 is 20334623001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 143118670 + ... + 143119370.

It is an arithmetic number, because the mean of its divisors is an integer number (857099880).

Almost surely, 2100326433020 is an apocalyptic number.

100326433020 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 100326433020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164563176960).

100326433020 is an abundant number, since it is smaller than the sum of its proper divisors (228799920900).

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

100326433020 is a wasteful number, since it uses less digits than its factorization.

100326433020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The spelling of 100326433020 in words is "one hundred billion, three hundred twenty-six million, four hundred thirty-three thousand, twenty".