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10033213122 = 2332773132143
BaseRepresentation
bin10010101100000011…
…01010111011000010
3221220020021000222000
421112001222323002
5131022000304442
64335330324430
7503426622132
oct112601527302
927806230860
1010033213122
11428953a579
121b40129716
13c3b848aca
146b272aac2
153dac6dd4c
hex25606aec2

10033213122 has 64 divisors (see below), whose sum is σ = 22458485760. Its totient is φ = 3320134272.

The previous prime is 10033213121. The next prime is 10033213133. The reversal of 10033213122 is 22131233001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10033213095 and 10033213104.

It is not an unprimeable number, because it can be changed into a prime (10033213121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4680783 + ... + 4682925.

It is an arithmetic number, because the mean of its divisors is an integer number (350913840).

Almost surely, 210033213122 is an apocalyptic number.

10033213122 is an abundant number, since it is smaller than the sum of its proper divisors (12425272638).

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

10033213122 is a wasteful number, since it uses less digits than its factorization.

10033213122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10033213122 its reverse (22131233001), we get a palindrome (32164446123).

The spelling of 10033213122 in words is "ten billion, thirty-three million, two hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 277 313 554 626 831 939 1662 1878 2143 2493 2817 4286 4986 5634 6429 7479 8451 12858 14958 16902 19287 38574 57861 86701 115722 173402 260103 520206 593611 670759 780309 1187222 1341518 1560618 1780833 2012277 2340927 3561666 4024554 4681854 5342499 6036831 10684998 12073662 16027497 18110493 32054994 36220986 185800243 371600486 557400729 1114801458 1672202187 3344404374 5016606561 10033213122