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33131314120 = 2351934291621
BaseRepresentation
bin11110110110110001…
…111011101111001000
310011111222102010211011
4132312301323233020
51020323104022440
623115331013304
72252011344352
oct366661735710
9104458363734
1033131314120
1113061843743
12650773a234
1331800352a8
1418642740d2
15cdd9aa9ea
hex7b6c7bbc8

33131314120 has 32 divisors (see below), whose sum is σ = 74931720120. Its totient is φ = 13183856640.

The previous prime is 33131314079. The next prime is 33131314129. The reversal of 33131314120 is 2141313133.

It can be written as a sum of positive squares in 4 ways, for example, as 22254075684 + 10877238436 = 149178^2 + 104294^2 .

It is a super-2 number, since 2×331313141202 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33131314091 and 33131314100.

It is not an unprimeable number, because it can be changed into a prime (33131314129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2138091 + ... + 2153530.

Almost surely, 233131314120 is an apocalyptic number.

It is an amenable number.

33131314120 is an abundant number, since it is smaller than the sum of its proper divisors (41800406000).

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

33131314120 is a wasteful number, since it uses less digits than its factorization.

33131314120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4291825 (or 4291821 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 33131314120 its reverse (2141313133), we get a palindrome (35272627253).

The spelling of 33131314120 in words is "thirty-three billion, one hundred thirty-one million, three hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 193 386 772 965 1544 1930 3860 7720 4291621 8583242 17166484 21458105 34332968 42916210 85832420 171664840 828282853 1656565706 3313131412 4141414265 6626262824 8282828530 16565657060 33131314120