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3133114120 = 235372116969
BaseRepresentation
bin1011101010111111…
…1000011100001000
322002100111200120201
42322233320130020
522404034122440
61234521301544
7140433013333
oct27257703410
98070450521
103133114120
11136861a014
127353348b4
133ac1505a6
1421a17761a
151350da19a
hexbabf8708

3133114120 has 32 divisors (see below), whose sum is σ = 7240037400. Its totient is φ = 1219373568.

The previous prime is 3133114091. The next prime is 3133114139. The reversal of 3133114120 is 214113313.

It can be written as a sum of positive squares in 4 ways, for example, as 2589384996 + 543729124 = 50886^2 + 23318^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1057005 + ... + 1059964.

Almost surely, 23133114120 is an apocalyptic number.

It is an amenable number.

3133114120 is an abundant number, since it is smaller than the sum of its proper divisors (4106923280).

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

3133114120 is a wasteful number, since it uses less digits than its factorization.

3133114120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117017 (or 2117013 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 3133114120 is about 55974.2272836347. The cubic root of 3133114120 is about 1463.2731531346.

Adding to 3133114120 its reverse (214113313), we get a palindrome (3347227433).

It can be divided in two parts, 31331 and 14120, that added together give a triangular number (45451 = T301).

The spelling of 3133114120 in words is "three billion, one hundred thirty-three million, one hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 2116969 4233938 8467876 10584845 16935752 21169690 42339380 78327853 84678760 156655706 313311412 391639265 626622824 783278530 1566557060 3133114120