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100244240200 = 235213436114699
BaseRepresentation
bin101110101011100000…
…1011011011101001000
3100120202012020000211001
41131113001123131020
53120300011141300
6114015045544344
710146100661026
oct1352701333510
9316665200731
10100244240200
1139571295405
12175177150b4
1395b72b6580
144bcd67b716
15291a8d216a
hex175705b748

100244240200 has 192 divisors, whose sum is σ = 261061416000. Its totient is φ = 35557401600.

The previous prime is 100244240191. The next prime is 100244240233. The reversal of 100244240200 is 2042442001.

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 47 ways as a sum of consecutive naturals, for example, 6812451 + ... + 6827149.

It is an arithmetic number, because the mean of its divisors is an integer number (1359694875).

Almost surely, 2100244240200 is an apocalyptic number.

100244240200 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 100244240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130530708000).

100244240200 is an abundant number, since it is smaller than the sum of its proper divisors (160817175800).

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

100244240200 is a wasteful number, since it uses less digits than its factorization.

100244240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14832 (or 14823 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 100244240200 its reverse (2042442001), we get a palindrome (102286682201).

The spelling of 100244240200 in words is "one hundred billion, two hundred forty-four million, two hundred forty thousand, two hundred".