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10320314200 = 235277371653
BaseRepresentation
bin10011001110010001…
…10111111101011000
3222122020111021121021
421213020313331120
5132114000023300
64424024052224
7513514136410
oct114710677530
928566437537
1010320314200
114416603899
122000304074
13c8617b6c1
146dc903640
15406080d1a
hex267237f58

10320314200 has 48 divisors (see below), whose sum is σ = 27422552880. Its totient is φ = 3538392960.

The previous prime is 10320314197. The next prime is 10320314203. The reversal of 10320314200 is 241302301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10320314197) and next prime (10320314203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10320314203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3684427 + ... + 3687226.

It is an arithmetic number, because the mean of its divisors is an integer number (571303185).

Almost surely, 210320314200 is an apocalyptic number.

10320314200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10320314200 is an abundant number, since it is smaller than the sum of its proper divisors (17102238680).

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

10320314200 is a wasteful number, since it uses less digits than its factorization.

10320314200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7371676 (or 7371667 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10320314200 its reverse (241302301), we get a palindrome (10561616501).

The spelling of 10320314200 in words is "ten billion, three hundred twenty million, three hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 7371653 14743306 29486612 36858265 51601571 58973224 73716530 103203142 147433060 184291325 206406284 258007855 294866120 368582650 412812568 516015710 737165300 1032031420 1290039275 1474330600 2064062840 2580078550 5160157100 10320314200