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10042024340 = 225502101217
BaseRepresentation
bin10010101101000110…
…10010000110010100
3221220211211200200102
421112203102012110
5131031224234330
64340243233232
7503564540615
oct112643220624
927824750612
1010042024340
114293508577
121b43078818
13c4061254a
146b3981c0c
153db90e945
hex2568d2194

10042024340 has 12 divisors (see below), whose sum is σ = 21088251156. Its totient is φ = 4016809728.

The previous prime is 10042024337. The next prime is 10042024357. The reversal of 10042024340 is 4342024001.

It can be written as a sum of positive squares in 2 ways, for example, as 1191354256 + 8850670084 = 34516^2 + 94078^2 .

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: 502101217 = 10042024340 / (1 + 0 + 0 + 4 + 2 + 0 + 2 + 4 + 3 + 4 + 0).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 251050589 + ... + 251050628.

It is an arithmetic number, because the mean of its divisors is an integer number (1757354263).

Almost surely, 210042024340 is an apocalyptic number.

10042024340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042024340 is an abundant number, since it is smaller than the sum of its proper divisors (11046226816).

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

10042024340 is a wasteful number, since it uses less digits than its factorization.

10042024340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502101226 (or 502101224 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10042024340 its reverse (4342024001), we get a palindrome (14384048341).

The spelling of 10042024340 in words is "ten billion, forty-two million, twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 502101217 1004202434 2008404868 2510506085 5021012170 10042024340