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20433522130 = 25717471033547
BaseRepresentation
bin10011000001111011…
…101100110111010010
31221202001021110210221
4103001323230313102
5313321440202010
613215333143254
71322235033550
oct230173546722
957661243727
1020433522130
11873621067a
123b6318ab2a
131c084553c8
14dbbad4bd0
157e8d51dda
hex4c1eecdd2

20433522130 has 128 divisors (see below), whose sum is σ = 45908508672. Its totient is φ = 6388927488.

The previous prime is 20433522103. The next prime is 20433522139. The reversal of 20433522130 is 3122533402.

It is a junction number, because it is equal to n+sod(n) for n = 20433522095 and 20433522104.

It is not an unprimeable number, because it can be changed into a prime (20433522139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5759017 + ... + 5762563.

It is an arithmetic number, because the mean of its divisors is an integer number (358660224).

Almost surely, 220433522130 is an apocalyptic number.

20433522130 is an abundant number, since it is smaller than the sum of its proper divisors (25474986542).

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

20433522130 is a wasteful number, since it uses less digits than its factorization.

20433522130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728.

The product of its (nonzero) digits is 4320, while the sum is 25.

The spelling of 20433522130 in words is "twenty billion, four hundred thirty-three million, five hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 17 34 35 47 70 85 94 103 119 170 206 235 238 329 470 515 595 658 721 799 1030 1190 1442 1598 1645 1751 3290 3502 3547 3605 3995 4841 5593 7094 7210 7990 8755 9682 11186 12257 17510 17735 24205 24514 24829 27965 33887 35470 48410 49658 55930 60299 61285 67774 82297 120598 122570 124145 164594 166709 169435 248290 301495 333418 338870 365341 411485 422093 576079 602990 730682 822970 833545 844186 1152158 1166963 1667090 1826705 2110465 2333926 2557387 2834053 2880395 3653410 4220930 5114774 5668106 5760790 5834815 6210797 11669630 12421594 12786935 14170265 17171027 19838371 25573870 28340530 31053985 34342054 39676742 43475579 62107970 85855135 86951158 99191855 120197189 171710270 198383710 217377895 240394378 291907459 434755790 583814918 600985945 1201971890 1459537295 2043352213 2919074590 4086704426 10216761065 20433522130