Search a number
-
+
10122221220 = 2235364346309
BaseRepresentation
bin10010110110101010…
…01101011010100100
3222010102202010010020
421123111031122210
5131212242034340
64352230155140
7505560314016
oct113325153244
928112663106
1010122221220
114324803691
121b65ab2ab0
13c54111417
146c049a1b6
153e39a19d0
hex25b54d6a4

10122221220 has 48 divisors (see below), whose sum is σ = 28350611520. Its totient is φ = 2698459776.

The previous prime is 10122221203. The next prime is 10122221231. The reversal of 10122221220 is 2212222101.

10122221220 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 10122221220.

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, 195426 + ... + 241734.

It is an arithmetic number, because the mean of its divisors is an integer number (590637740).

Almost surely, 210122221220 is an apocalyptic number.

10122221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122221220 is an abundant number, since it is smaller than the sum of its proper divisors (18228390300).

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

10122221220 is a wasteful number, since it uses less digits than its factorization.

10122221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49964 (or 49962 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10122221220 its reverse (2212222101), we get a palindrome (12334443321).

The spelling of 10122221220 in words is "ten billion, one hundred twenty-two million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3643 7286 10929 14572 18215 21858 36430 43716 46309 54645 72860 92618 109290 138927 185236 218580 231545 277854 463090 555708 694635 926180 1389270 2778540 168703687 337407374 506111061 674814748 843518435 1012222122 1687036870 2024444244 2530555305 3374073740 5061110610 10122221220