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20130202000 = 245310065101
BaseRepresentation
bin10010101111110110…
…101000000110010000
31220221220112012211001
4102233312220012100
5312211312431000
613125300031344
71311562615366
oct225766500620
956856465731
1020130202000
11859aa79787
123a99692554
131b8a66433c
14d8d6d9636
157cc3d946a
hex4afda8190

20130202000 has 40 divisors (see below), whose sum is σ = 48674833272. Its totient is φ = 8052080000.

The previous prime is 20130201961. The next prime is 20130202009. The reversal of 20130202000 is 20203102.

It can be written as a sum of positive squares in 4 ways, for example, as 21827584 + 20108374416 = 4672^2 + 141804^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (20130202009) 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, 5030551 + ... + 5034550.

Almost surely, 220130202000 is an apocalyptic number.

20130202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20130202000 is an abundant number, since it is smaller than the sum of its proper divisors (28544631272).

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

20130202000 is a wasteful number, since it uses less digits than its factorization.

20130202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10065124 (or 10065108 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 20130202000 its reverse (20203102), we get a palindrome (20150405102).

The spelling of 20130202000 in words is "twenty billion, one hundred thirty million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 10065101 20130202 40260404 50325505 80520808 100651010 161041616 201302020 251627525 402604040 503255050 805208080 1006510100 1258137625 2013020200 2516275250 4026040400 5032550500 10065101000 20130202000