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100300000032 = 25333119719009
BaseRepresentation
bin101110101101001011…
…0001000101100100000
3100120220002010220221000
41131122112020230200
53120403300000112
6114024401032000
710150345635111
oct1353226105440
9316802126830
10100300000032
113959a80a611
1217532325600
1395c5a0a55b
144bd6c34208
1529207487dc
hex175a588b20

100300000032 has 192 divisors, whose sum is σ = 303527347200. Its totient is φ = 32188907520.

The previous prime is 100300000027. The next prime is 100300000079. The reversal of 100300000032 is 230000003001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5266944 + ... + 5285952.

It is an arithmetic number, because the mean of its divisors is an integer number (1580871600).

Almost surely, 2100300000032 is an apocalyptic number.

100300000032 is a gapful number since it is divisible by the number (12) 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 100300000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151763673600).

100300000032 is an abundant number, since it is smaller than the sum of its proper divisors (203227347168).

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

100300000032 is a wasteful number, since it uses less digits than its factorization.

100300000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19256 (or 19242 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 100300000032 its reverse (230000003001), we get a palindrome (330300003033).

The spelling of 100300000032 in words is "one hundred billion, three hundred million, thirty-two", and thus it is an aban number.