Search a number
-
+
10120122020 = 2251704729683
BaseRepresentation
bin10010110110011010…
…01100111010100100
3222010021210110120002
421123031030322210
5131211222401040
64352113200432
7505533421631
oct113315147244
928107713502
1010120122020
1143235aa508
121b65260118
13c53857aa8
146c00b1188
153e36d9a15
hex25b34cea4

10120122020 has 24 divisors (see below), whose sum is σ = 21254218944. Its totient is φ = 4047674976.

The previous prime is 10120121983. The next prime is 10120122041. The reversal of 10120122020 is 2022102101.

It is a happy number.

10120122020 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 = 10120121992 and 10120122010.

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 7 ways as a sum of consecutive naturals, for example, 326099 + ... + 355781.

It is an arithmetic number, because the mean of its divisors is an integer number (885592456).

Almost surely, 210120122020 is an apocalyptic number.

10120122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120122020 is an abundant number, since it is smaller than the sum of its proper divisors (11134096924).

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

10120122020 is a wasteful number, since it uses less digits than its factorization.

10120122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46739 (or 46737 counting only the distinct ones).

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

Adding to 10120122020 its reverse (2022102101), we get a palindrome (12142224121).

The spelling of 10120122020 in words is "ten billion, one hundred twenty million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 17047 29683 34094 59366 68188 85235 118732 148415 170470 296830 340940 593660 506006101 1012012202 2024024404 2530030505 5060061010 10120122020