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4121325200 = 2452101102013
BaseRepresentation
bin1111010110100110…
…0110111010010000
3101122020000000100002
43311221212322100
531420024401300
61520542145132
7204062454236
oct36551467220
911566000302
104121325200
111825420693
129702821a8
13508ac0885
142b14d6956
15191c3d5d5
hexf5a66e90

4121325200 has 60 divisors (see below), whose sum is σ = 9999616308. Its totient is φ = 1632192000.

The previous prime is 4121325121. The next prime is 4121325251. The reversal of 4121325200 is 25231214.

It can be written as a sum of positive squares in 6 ways, for example, as 141229456 + 3980095744 = 11884^2 + 63088^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10607 + ... + 91406.

Almost surely, 24121325200 is an apocalyptic number.

4121325200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4121325200 is an abundant number, since it is smaller than the sum of its proper divisors (5878291108).

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

4121325200 is a wasteful number, since it uses less digits than its factorization.

4121325200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102132 (or 102121 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 4121325200 is about 64197.5482397887. The cubic root of 4121325200 is about 1603.2907791759.

Adding to 4121325200 its reverse (25231214), we get a palindrome (4146556414).

The spelling of 4121325200 in words is "four billion, one hundred twenty-one million, three hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 200 202 400 404 505 808 1010 1616 2020 2525 4040 5050 8080 10100 20200 40400 102013 204026 408052 510065 816104 1020130 1632208 2040260 2550325 4080520 5100650 8161040 10201300 10303313 20402600 20606626 40805200 41213252 51516565 82426504 103033130 164853008 206066260 257582825 412132520 515165650 824265040 1030331300 2060662600 4121325200