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10413202224 = 2431817191667
BaseRepresentation
bin10011011001010110…
…01101101100110000
3222212201021111000110
421230223031230300
5132311234432344
64441143021320
7516022521105
oct115453155460
928781244013
1010413202224
114463a87a57
12202743a840
13c9c4a2029
1470ada2aac
1540e2cd3b9
hex26cacdb30

10413202224 has 80 divisors (see below), whose sum is σ = 27103265280. Its totient is φ = 3445021440.

The previous prime is 10413202207. The next prime is 10413202249. The reversal of 10413202224 is 42220231401.

10413202224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10413202224.

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 15 ways as a sum of consecutive naturals, for example, 6245839 + ... + 6247505.

It is an arithmetic number, because the mean of its divisors is an integer number (338790816).

Almost surely, 210413202224 is an apocalyptic number.

It is an amenable number.

10413202224 is an abundant number, since it is smaller than the sum of its proper divisors (16690063056).

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

10413202224 is a wasteful number, since it uses less digits than its factorization.

10413202224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10413202224 its reverse (42220231401), we get a palindrome (52633433625).

The spelling of 10413202224 in words is "ten billion, four hundred thirteen million, two hundred two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 181 362 543 719 724 1086 1438 1448 1667 2157 2172 2876 2896 3334 4314 4344 5001 5752 6668 8628 8688 10002 11504 13336 17256 20004 26672 34512 40008 80016 130139 260278 301727 390417 520556 603454 780834 905181 1041112 1198573 1206908 1561668 1810362 2082224 2397146 2413816 3123336 3595719 3620724 4794292 4827632 6246672 7191438 7241448 9588584 14382876 14482896 19177168 28765752 57531504 216941713 433883426 650825139 867766852 1301650278 1735533704 2603300556 3471067408 5206601112 10413202224