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10400112300 = 2235234667041
BaseRepresentation
bin10011010111110010…
…10001111010101100
3222211210122110000110
421223321101322230
5132244412043200
64435554300020
7515503332054
oct115371217254
928753573013
1010400112300
114457657336
122022b87610
13c9986ac06
14709356564
1540d094b50
hex26be51eac

10400112300 has 36 divisors (see below), whose sum is σ = 30090992456. Its totient is φ = 2773363200.

The previous prime is 10400112271. The next prime is 10400112301. The reversal of 10400112300 is 321100401.

It is a happy number.

It is a super-2 number, since 2×104001123002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10400112301) 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, 17333221 + ... + 17333820.

Almost surely, 210400112300 is an apocalyptic number.

10400112300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400112300 is an abundant number, since it is smaller than the sum of its proper divisors (19690880156).

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

10400112300 is a wasteful number, since it uses less digits than its factorization.

10400112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34667058 (or 34667051 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10400112300 its reverse (321100401), we get a palindrome (10721212701).

The spelling of 10400112300 in words is "ten billion, four hundred million, one hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 34667041 69334082 104001123 138668164 173335205 208002246 346670410 416004492 520005615 693340820 866676025 1040011230 1733352050 2080022460 2600028075 3466704100 5200056150 10400112300