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100200110020 = 22510753465917
BaseRepresentation
bin101110101010001100…
…1000101011111000100
3100120122010011222120221
41131110121011133010
53120202212010040
6114010432034124
710145023611433
oct1352431053704
9316563158527
10100200110020
113954939378a
1217504992944
1395ab104b3a
144bc787111a
152916ab674a
hex17546457c4

100200110020 has 24 divisors (see below), whose sum is σ = 210440251224. Its totient is φ = 40076230656.

The previous prime is 100200110009. The next prime is 100200110027. The reversal of 100200110020 is 20011002001.

It can be written as a sum of positive squares in 4 ways, for example, as 16015408704 + 84184701316 = 126552^2 + 290146^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100200109985 and 100200110012.

It is not an unprimeable number, because it can be changed into a prime (100200110027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17899 + ... + 448018.

It is an arithmetic number, because the mean of its divisors is an integer number (8768343801).

Almost surely, 2100200110020 is an apocalyptic number.

100200110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200110020 is an abundant number, since it is smaller than the sum of its proper divisors (110240141204).

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

100200110020 is a wasteful number, since it uses less digits than its factorization.

100200110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476679 (or 476677 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100200110020 its reverse (20011002001), we get a palindrome (120211112021).

The spelling of 100200110020 in words is "one hundred billion, two hundred million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 10753 21506 43012 53765 107530 215060 465917 931834 1863668 2329585 4659170 9318340 5010005501 10020011002 20040022004 25050027505 50100055010 100200110020