Search a number
-
+
10402124420 = 225520106221
BaseRepresentation
bin10011011000000001…
…11101001010000100
3222211221102200010102
421230000331022010
5132300420440140
64440105343232
7515526412232
oct115400751204
928757380112
1010402124420
114458801046
122023797b18
13c9a0c3a0c
1470971b952
1540d340e15
hex26c03d284

10402124420 has 12 divisors (see below), whose sum is σ = 21844461324. Its totient is φ = 4160849760.

The previous prime is 10402124413. The next prime is 10402124423. The reversal of 10402124420 is 2442120401.

It can be written as a sum of positive squares in 2 ways, for example, as 5688478084 + 4713646336 = 75422^2 + 68656^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 520106221 = 10402124420 / (1 + 0 + 4 + 0 + 2 + 1 + 2 + 4 + 4 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 10402124392 and 10402124401.

It is not an unprimeable number, because it can be changed into a prime (10402124423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 260053091 + ... + 260053130.

It is an arithmetic number, because the mean of its divisors is an integer number (1820371777).

Almost surely, 210402124420 is an apocalyptic number.

10402124420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10402124420 is an abundant number, since it is smaller than the sum of its proper divisors (11442336904).

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

10402124420 is a wasteful number, since it uses less digits than its factorization.

10402124420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520106230 (or 520106228 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10402124420 its reverse (2442120401), we get a palindrome (12844244821).

The spelling of 10402124420 in words is "ten billion, four hundred two million, one hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 520106221 1040212442 2080424884 2600531105 5201062210 10402124420