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101238472900 = 22521012384729
BaseRepresentation
bin101111001001001001…
…0001000000011000100
3100200022111001021200101
41132102102020003010
53124314022113100
6114301443453444
710212532551445
oct1362222100304
9320274037611
10101238472900
1139a3152a124
1217754687284
139715284646
144c857272cc
152977d2486a
hex17924880c4

101238472900 has 18 divisors (see below), whose sum is σ = 219687486410. Its totient is φ = 40495389120.

The previous prime is 101238472897. The next prime is 101238472949. The reversal of 101238472900 is 9274832101.

It can be written as a sum of positive squares in 3 ways, for example, as 282307204 + 100956165696 = 16802^2 + 317736^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101238472900.

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 5 ways as a sum of consecutive naturals, for example, 506192265 + ... + 506192464.

Almost surely, 2101238472900 is an apocalyptic number.

101238472900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101238472900 is an abundant number, since it is smaller than the sum of its proper divisors (118449013510).

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

101238472900 is a wasteful number, since it uses less digits than its factorization.

101238472900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012384743 (or 1012384736 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 101238472900 in words is "one hundred one billion, two hundred thirty-eight million, four hundred seventy-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1012384729 2024769458 4049538916 5061923645 10123847290 20247694580 25309618225 50619236450 101238472900