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100315230000 = 2435416720023
BaseRepresentation
bin101110101101101000…
…0001110111100110000
3100120221010210200111220
41131123100032330300
53120421144330000
6114030103305040
710150622246256
oct1353320167460
9316833720456
10100315230000
11395a8372067
121753744b180
1395c8c1077b
144bd8c7a5d6
152921c561a0
hex175b40ef30

100315230000 has 200 divisors, whose sum is σ = 325786315008. Its totient is φ = 26589216000.

The previous prime is 100315229933. The next prime is 100315230019. The reversal of 100315230000 is 32513001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

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

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 39 ways as a sum of consecutive naturals, for example, 4999989 + ... + 5020011.

Almost surely, 2100315230000 is an apocalyptic number.

100315230000 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 100315230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162893157504).

100315230000 is an abundant number, since it is smaller than the sum of its proper divisors (225471085008).

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

100315230000 is a wasteful number, since it uses less digits than its factorization.

100315230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20221 (or 20200 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 100315230000 its reverse (32513001), we get a palindrome (100347743001).

The spelling of 100315230000 in words is "one hundred billion, three hundred fifteen million, two hundred thirty thousand".