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100182020200 = 2352618211641
BaseRepresentation
bin101110101001101010…
…0000101000001101000
3100120120212010221000121
41131103110011001220
53120133044121300
6114004544213024
710144414056433
oct1352324050150
9316525127017
10100182020200
113953a158619
12174ba90a174
1395a743ccc2
144bc52c281a
1529151e181a
hex1753505068

100182020200 has 48 divisors (see below), whose sum is σ = 236741638860. Its totient is φ = 39415872000.

The previous prime is 100182020173. The next prime is 100182020243. The reversal of 100182020200 is 2020281001.

It can be written as a sum of positive squares in 6 ways, for example, as 38794029444 + 61387990756 = 196962^2 + 247766^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4093621 + ... + 4118020.

Almost surely, 2100182020200 is an apocalyptic number.

100182020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100182020200 is an abundant number, since it is smaller than the sum of its proper divisors (136559618660).

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

100182020200 is a wasteful number, since it uses less digits than its factorization.

100182020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8211718 (or 8211709 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The spelling of 100182020200 in words is "one hundred billion, one hundred eighty-two million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1220 1525 2440 3050 6100 12200 8211641 16423282 32846564 41058205 65693128 82116410 164232820 205291025 328465640 410582050 500910101 821164100 1001820202 1642328200 2003640404 2504550505 4007280808 5009101010 10018202020 12522752525 20036404040 25045505050 50091010100 100182020200