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3312122112 = 283213110581
BaseRepresentation
bin1100010101101010…
…1111100100000000
322112211100020101100
43011122233210000
523240400401422
61304354134400
7145035400455
oct30532574400
98484306340
103312122112
11144a674402
12785281400
1340a267a90
14235c5382c
15145b997ac
hexc56af900

3312122112 has 108 divisors (see below), whose sum is σ = 10284347164. Its totient is φ = 1019105280.

The previous prime is 3312122089. The next prime is 3312122113. The reversal of 3312122112 is 2112212133.

It can be written as a sum of positive squares in 2 ways, for example, as 1899565056 + 1412557056 = 43584^2 + 37584^2 .

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3312122113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25339 + ... + 85242.

Almost surely, 23312122112 is an apocalyptic number.

3312122112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3312122112 is an abundant number, since it is smaller than the sum of its proper divisors (6972225052).

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

3312122112 is a wasteful number, since it uses less digits than its factorization.

3312122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110616 (or 110599 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 3312122112 is about 57551.0391913126. The cubic root of 3312122112 is about 1490.6263018751.

Adding to 3312122112 its reverse (2112212133), we get a palindrome (5424334245).

The spelling of 3312122112 in words is "three billion, three hundred twelve million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9984 14976 29952 110581 221162 331743 442324 663486 884648 995229 1326972 1437553 1769296 1990458 2653944 2875106 3538592 3980916 4312659 5307888 5750212 7077184 7961832 8625318 10615776 11500424 12937977 14154368 15923664 17250636 21231552 23000848 25875954 28308736 31847328 34501272 42463104 46001696 51751908 63694656 69002544 84926208 92003392 103503816 127389312 138005088 184006784 207007632 254778624 276010176 368013568 414015264 552020352 828030528 1104040704 1656061056 3312122112