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103242302100 = 223252740140867
BaseRepresentation
bin110000000100110111…
…0001000001010010100
3100212111010121100120200
41200021232020022110
53142420012131400
6115232344500500
710313304042210
oct1401156101224
9325433540520
10103242302100
113a86a651713
121801377a730
13997446c8b2
144dd58db940
152a43be1b00
hex1809b88294

103242302100 has 216 divisors, whose sum is σ = 370768227648. Its totient is φ = 23538816000.

The previous prime is 103242302077. The next prime is 103242302129. The reversal of 103242302100 is 1203242301.

103242302100 is a `hidden beast` number, since 1 + 0 + 32 + 423 + 0 + 210 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2505867 + ... + 2546733.

Almost surely, 2103242302100 is an apocalyptic number.

103242302100 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 103242302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185384113824).

103242302100 is an abundant number, since it is smaller than the sum of its proper divisors (267525925548).

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

103242302100 is a wasteful number, since it uses less digits than its factorization.

103242302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41295 (or 41285 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103242302100 its reverse (1203242301), we get a palindrome (104445544401).

The spelling of 103242302100 in words is "one hundred three billion, two hundred forty-two million, three hundred two thousand, one hundred".