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10212400500 = 223536808267
BaseRepresentation
bin10011000001011010…
…01101110101110100
3222100201102200211120
421200231031311310
5131403333304000
64405211103540
7511033654251
oct114055156564
928321380746
1010212400500
1143706a7715
121b90141bb0
13c699c6b43
146cc452428
153eb8666a0
hex260b4dd74

10212400500 has 48 divisors (see below), whose sum is σ = 29738514624. Its totient is φ = 2723306400.

The previous prime is 10212400493. The next prime is 10212400501. The reversal of 10212400500 is 500421201.

10212400500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10212400500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212400501) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3402634 + ... + 3405633.

It is an arithmetic number, because the mean of its divisors is an integer number (619552388).

Almost surely, 210212400500 is an apocalyptic number.

10212400500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212400500 is an abundant number, since it is smaller than the sum of its proper divisors (19526114124).

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

10212400500 is a wasteful number, since it uses less digits than its factorization.

10212400500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6808289 (or 6808277 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 10212400500 its reverse (500421201), we get a palindrome (10712821701).

The spelling of 10212400500 in words is "ten billion, two hundred twelve million, four hundred thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1500 6808267 13616534 20424801 27233068 34041335 40849602 68082670 81699204 102124005 136165340 170206675 204248010 340413350 408496020 510620025 680826700 851033375 1021240050 1702066750 2042480100 2553100125 3404133500 5106200250 10212400500