Search a number
-
+
10122210020 = 2251372753551
BaseRepresentation
bin10010110110101010…
…01010101011100100
3222010102201112202102
421123111022223210
5131212241210040
64352230031232
7505560236246
oct113325125344
928112645672
1010122210020
1143247a622a
121b65aa8518
13c541092b0
146c0496096
153e399d515
hex25b54aae4

10122210020 has 48 divisors (see below), whose sum is σ = 22923683328. Its totient is φ = 3732220800.

The previous prime is 10122210013. The next prime is 10122210041. The reversal of 10122210020 is 2001222101.

It is a happy number.

10122210020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10122209983 and 10122210010.

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, 162245 + ... + 215795.

It is an arithmetic number, because the mean of its divisors is an integer number (477576736).

Almost surely, 210122210020 is an apocalyptic number.

10122210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122210020 is an abundant number, since it is smaller than the sum of its proper divisors (12801473308).

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

10122210020 is a wasteful number, since it uses less digits than its factorization.

10122210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54300 (or 54298 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10122210020 its reverse (2001222101), we get a palindrome (12123432121).

The spelling of 10122210020 in words is "ten billion, one hundred twenty-two million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 727 1454 2908 3635 7270 9451 14540 18902 37804 47255 53551 94510 107102 189020 214204 267755 535510 696163 1071020 1392326 2784652 3480815 6961630 13923260 38931577 77863154 155726308 194657885 389315770 506110501 778631540 1012221002 2024442004 2530552505 5061105010 10122210020