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10442413120 = 265191170851
BaseRepresentation
bin10011011100110101…
…01001010001000000
3222221202020112211111
421232122221101000
5132341224204440
64444105053104
7516526022056
oct115632512100
928852215744
1010442413120
114479519597
122035187194
13ca555ba99
14710c081d6
15411b4d4ea
hex26e6a9440

10442413120 has 56 divisors (see below), whose sum is σ = 24996331008. Its totient is φ = 4155072000.

The previous prime is 10442413073. The next prime is 10442413133. The reversal of 10442413120 is 2131424401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10442413091 and 10442413100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24306 + ... + 146545.

Almost surely, 210442413120 is an apocalyptic number.

10442413120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10442413120 is an abundant number, since it is smaller than the sum of its proper divisors (14553917888).

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

10442413120 is a wasteful number, since it uses less digits than its factorization.

10442413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171059 (or 171049 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10442413120 its reverse (2131424401), we get a palindrome (12573837521).

The spelling of 10442413120 in words is "ten billion, four hundred forty-two million, four hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 191 320 382 764 955 1528 1910 3056 3820 6112 7640 12224 15280 30560 61120 170851 341702 683404 854255 1366808 1708510 2733616 3417020 5467232 6834040 10934464 13668080 27336160 32632541 54672320 65265082 130530164 163162705 261060328 326325410 522120656 652650820 1044241312 1305301640 2088482624 2610603280 5221206560 10442413120