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3133320102 = 2321131631809
BaseRepresentation
bin1011101011000010…
…1010101110100110
322002100220011010200
42322300222232212
522404112220402
61234525531330
7140434532013
oct27260525646
98070804120
103133320102
11136874a850
12735413b46
133ac1c3283
1421a1cc70a
1513512b21c
hexbac2aba6

3133320102 has 96 divisors (see below), whose sum is σ = 7666513920. Its totient is φ = 916272000.

The previous prime is 3133320079. The next prime is 3133320103. The reversal of 3133320102 is 2010233313.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133320103) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3872674 + ... + 3873482.

It is an arithmetic number, because the mean of its divisors is an integer number (79859520).

Almost surely, 23133320102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3133320102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3833256960).

3133320102 is an abundant number, since it is smaller than the sum of its proper divisors (4533193818).

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

3133320102 is a wasteful number, since it uses less digits than its factorization.

3133320102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3133320102 is about 55976.0672251990. The cubic root of 3133320102 is about 1463.3052193488.

Adding to 3133320102 its reverse (2010233313), we get a palindrome (5143553415).

The spelling of 3133320102 in words is "three billion, one hundred thirty-three million, three hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 631 682 809 1023 1262 1618 1893 2046 2427 3069 3786 4854 5679 6138 6941 7281 8899 11358 13882 14562 17798 19561 20823 25079 26697 39122 41646 50158 53394 58683 62469 75237 80091 117366 124938 150474 160182 176049 215171 225711 275869 352098 430342 451422 510479 551738 645513 827607 1020958 1291026 1531437 1655214 1936539 2482821 3062874 3873078 4594311 4965642 5615269 9188622 11230538 15824849 16845807 31649698 33691614 47474547 50537421 94949094 101074842 142423641 174073339 284847282 348146678 522220017 1044440034 1566660051 3133320102