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103213025040 = 2435430054271
BaseRepresentation
bin110000000011111111…
…0011100011100010000
3100212102002111221000010
41200013332130130100
53142340013300130
6115225421154520
710312500144306
oct1400776343420
9325362457003
10103213025040
113a8550753a4
12180059bba40
13996b38b9a8
144dd1a7a276
152a4135c0b0
hex1807f9c710

103213025040 has 40 divisors (see below), whose sum is σ = 319960378368. Its totient is φ = 27523473280.

The previous prime is 103213025033. The next prime is 103213025053. The reversal of 103213025040 is 40520312301.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 103213024998 and 103213025016.

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 7 ways as a sum of consecutive naturals, for example, 215026896 + ... + 215027375.

Almost surely, 2103213025040 is an apocalyptic number.

103213025040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103213025040 is an abundant number, since it is smaller than the sum of its proper divisors (216747353328).

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

103213025040 is a wasteful number, since it uses less digits than its factorization.

103213025040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430054287 (or 430054281 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 103213025040 its reverse (40520312301), we get a palindrome (143733337341).

The spelling of 103213025040 in words is "one hundred three billion, two hundred thirteen million, twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 430054271 860108542 1290162813 1720217084 2150271355 2580325626 3440434168 4300542710 5160651252 6450814065 6880868336 8601085420 10321302504 12901628130 17202170840 20642605008 25803256260 34404341680 51606512520 103213025040