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15230024100 = 22325231217609
BaseRepresentation
bin11100010111100011…
…11011100110100100
31110022101222101102200
432023301323212210
5222142341232400
610555132134500
71046262032424
oct161361734644
943271871380
1015230024100
116505a51585
122b50607430
1315893b62a5
14a469c0484
155e20eeb00
hex38bc7b9a4

15230024100 has 162 divisors, whose sum is σ = 49330065330. Its totient is φ = 3930105600.

The previous prime is 15230024087. The next prime is 15230024113. The reversal of 15230024100 is 142003251.

It is an interprime number because it is at equal distance from previous prime (15230024087) and next prime (15230024113).

It can be written as a sum of positive squares in 3 ways, for example, as 2059707456 + 13170316644 = 45384^2 + 114762^2 .

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

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 53 ways as a sum of consecutive naturals, for example, 856096 + ... + 873704.

Almost surely, 215230024100 is an apocalyptic number.

15230024100 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 15230024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24665032665).

15230024100 is an abundant number, since it is smaller than the sum of its proper divisors (34100041230).

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

15230024100 is a wasteful number, since it uses less digits than its factorization.

15230024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17691 (or 17650 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 15230024100 its reverse (142003251), we get a palindrome (15372027351).

It can be divided in two parts, 152300 and 24100, that added together give a square (176400 = 4202).

The spelling of 15230024100 in words is "fifteen billion, two hundred thirty million, twenty-four thousand, one hundred".