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10022420040 = 2335174912951
BaseRepresentation
bin10010101010110000…
…11111111001001000
3221212110221200122020
421111120133321020
5131011214420130
64334303124440
7503236110333
oct112530377110
927773850566
1010022420040
114283438576
121b385a3720
13c3953a279
146b111b61a
153d9d3ae10
hex25561fe48

10022420040 has 64 divisors (see below), whose sum is σ = 31835928960. Its totient is φ = 2515430400.

The previous prime is 10022420017. The next prime is 10022420059. The reversal of 10022420040 is 4002422001.

10022420040 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 (15).

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 15 ways as a sum of consecutive naturals, for example, 2454436 + ... + 2458515.

It is an arithmetic number, because the mean of its divisors is an integer number (497436390).

Almost surely, 210022420040 is an apocalyptic number.

10022420040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022420040 is an abundant number, since it is smaller than the sum of its proper divisors (21813508920).

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

10022420040 is a wasteful number, since it uses less digits than its factorization.

10022420040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4912982 (or 4912978 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 10022420040 its reverse (4002422001), we get a palindrome (14024842041).

The spelling of 10022420040 in words is "ten billion, twenty-two million, four hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 4912951 9825902 14738853 19651804 24564755 29477706 39303608 49129510 58955412 73694265 83520167 98259020 117910824 147388530 167040334 196518040 250560501 294777060 334080668 417600835 501121002 589554120 668161336 835201670 1002242004 1252802505 1670403340 2004484008 2505605010 3340806680 5011210020 10022420040