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10220224202133 = 3111783320968399
BaseRepresentation
bin1001010010111001010011…
…0101010100010110010101
31100012001011222220212002020
42110232110311110112111
52314422004343432013
633423034534003353
72103246453232611
oct224562465242625
940161158825066
1010220224202133
113290411137660
1211908b84a6559
135919bc4315ba
142749391b8341
1512acb8b6d623
hex94b94d54595

10220224202133 has 64 divisors (see below), whose sum is σ = 15935076864000. Its totient is φ = 5757601372160.

The previous prime is 10220224202131. The next prime is 10220224202141. The reversal of 10220224202133 is 33120242202201.

It is not a de Polignac number, because 10220224202133 - 21 = 10220224202131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220224202131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149386468 + ... + 149454866.

It is an arithmetic number, because the mean of its divisors is an integer number (248985576000).

Almost surely, 210220224202133 is an apocalyptic number.

It is an amenable number.

10220224202133 is a deficient number, since it is larger than the sum of its proper divisors (5714852661867).

10220224202133 is a wasteful number, since it uses less digits than its factorization.

10220224202133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71722.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10220224202133 its reverse (33120242202201), we get a palindrome (43340466404334).

The spelling of 10220224202133 in words is "ten trillion, two hundred twenty billion, two hundred twenty-four million, two hundred two thousand, one hundred thirty-three".

Divisors: 1 3 11 17 33 51 83 187 249 561 913 1411 2739 3209 4233 9627 15521 35299 46563 54553 68399 105897 163659 205197 266347 600083 752389 799041 1162783 1800249 2257167 2929817 3488349 4527899 5677117 8789451 12790613 13583697 17031351 38371839 49806889 62448287 96510989 149420667 187344861 219492391 289532967 658477173 1061620879 2414416301 3184862637 3731370647 7243248903 11194111941 18217868453 41045077117 54653605359 123135231351 200396552983 309703763701 601189658949 929111291103 3406741400711 10220224202133