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33310122132 = 223710310333727
BaseRepresentation
bin11111000001011100…
…000010000010010100
310011222102212112022010
4133001130002002110
51021204342402012
623145155304220
72256312236460
oct370134020224
9104872775263
1033310122132
1113143771861
1265575ab070
1331ab0ac751
14187dcdb4a0
15cee52ac3c
hex7c1702094

33310122132 has 96 divisors (see below), whose sum is σ = 89800302592. Its totient is φ = 9413127936.

The previous prime is 33310122121. The next prime is 33310122151. The reversal of 33310122132 is 23122101333.

It is a super-2 number, since 2×333101221322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 33310122099 and 33310122108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8935653 + ... + 8939379.

Almost surely, 233310122132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33310122132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44900151296).

33310122132 is an abundant number, since it is smaller than the sum of its proper divisors (56490180460).

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

33310122132 is a wasteful number, since it uses less digits than its factorization.

33310122132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4877 (or 4875 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 33310122132 its reverse (23122101333), we get a palindrome (56432223465).

The spelling of 33310122132 in words is "thirty-three billion, three hundred ten million, one hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 103 206 309 412 618 721 1033 1236 1442 2066 2163 2884 3099 3727 4132 4326 6198 7231 7454 8652 11181 12396 14462 14908 21693 22362 26089 28924 43386 44724 52178 78267 86772 104356 106399 156534 212798 313068 319197 383881 425596 638394 744793 767762 1151643 1276788 1489586 1535524 2234379 2303286 2687167 2979172 3849991 4468758 4606572 5374334 7699982 8061501 8937516 10748668 11549973 15399964 16123002 23099946 26949937 32246004 46199892 53899874 80849811 107799748 161699622 323399244 396549073 793098146 1189647219 1586196292 2379294438 2775843511 4758588876 5551687022 8327530533 11103374044 16655061066 33310122132