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2002300100 = 225220023001
BaseRepresentation
bin111011101011000…
…1010110011000100
312011112200101100222
41313112022303010
513100042100400
6530404123512
7100422161423
oct16726126304
95145611328
102002300100
11938278779
1247a696598
1325baa1278
1414dcd72ba
15babb9185
hex7758acc4

2002300100 has 18 divisors (see below), whose sum is σ = 4344991434. Its totient is φ = 800920000.

The previous prime is 2002300087. The next prime is 2002300133. The reversal of 2002300100 is 10032002.

2002300100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 530196676 + 1472103424 = 23026^2 + 38368^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10011401 + ... + 10011600.

It is an arithmetic number, because the mean of its divisors is an integer number (241388413).

Almost surely, 22002300100 is an apocalyptic number.

2002300100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002300100 is an abundant number, since it is smaller than the sum of its proper divisors (2342691334).

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

2002300100 is a wasteful number, since it uses less digits than its factorization.

2002300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20023015 (or 20023008 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2002300100 is about 44747.0680603769. The cubic root of 2002300100 is about 1260.4038555931.

Adding to 2002300100 its reverse (10032002), we get a palindrome (2012332102).

The spelling of 2002300100 in words is "two billion, two million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 20023001 40046002 80092004 100115005 200230010 400460020 500575025 1001150050 2002300100