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10122241340 = 225506112067
BaseRepresentation
bin10010110110101010…
…10010010100111100
3222010102210010201102
421123111102110330
5131212243210330
64352230432232
7505560426461
oct113325222474
928112703642
1010122241340
114324817812
121b65b02678
13c5411a623
146c04a3668
153e39a7945
hex25b55253c

10122241340 has 12 divisors (see below), whose sum is σ = 21256706856. Its totient is φ = 4048896528.

The previous prime is 10122241333. The next prime is 10122241369. The reversal of 10122241340 is 4314222101.

10122241340 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 (20), and also a Moran number because the ratio is a prime number: 506112067 = 10122241340 / (1 + 0 + 1 + 2 + 2 + 2 + 4 + 1 + 3 + 4 + 0).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 253056014 + ... + 253056053.

It is an arithmetic number, because the mean of its divisors is an integer number (1771392238).

Almost surely, 210122241340 is an apocalyptic number.

10122241340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122241340 is an abundant number, since it is smaller than the sum of its proper divisors (11134465516).

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

10122241340 is a wasteful number, since it uses less digits than its factorization.

10122241340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506112076 (or 506112074 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10122241340 its reverse (4314222101), we get a palindrome (14436463441).

The spelling of 10122241340 in words is "ten billion, one hundred twenty-two million, two hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 506112067 1012224134 2024448268 2530560335 5061120670 10122241340