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3201313131 = 33675773067
BaseRepresentation
bin1011111011010000…
…0010100101101011
322021002211120001000
42332310002211223
523024014010011
61245355130043
7142221466302
oct27664024553
98232746030
103201313131
1113a306aa35
12754143923
133c030b433
1422524b439
1513b0ac356
hexbed0296b

3201313131 has 32 divisors (see below), whose sum is σ = 4823386880. Its totient is φ = 2098027008.

The previous prime is 3201313091. The next prime is 3201313183. The reversal of 3201313131 is 1313131023.

It is a happy number.

3201313131 is a `hidden beast` number, since 320 + 1 + 31 + 313 + 1 = 666.

It is not a de Polignac number, because 3201313131 - 26 = 3201313067 is a prime.

It is a super-2 number, since 2×32013131312 = 20496811525426046322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3201314131) 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 31 ways as a sum of consecutive naturals, for example, 1042260 + ... + 1045326.

It is an arithmetic number, because the mean of its divisors is an integer number (150730840).

Almost surely, 23201313131 is an apocalyptic number.

3201313131 is a deficient number, since it is larger than the sum of its proper divisors (1622073749).

3201313131 is a wasteful number, since it uses less digits than its factorization.

3201313131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3720 (or 3714 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 3201313131 is about 56580.1478524049. The cubic root of 3201313131 is about 1473.8141392231.

Adding to 3201313131 its reverse (1313131023), we get a palindrome (4514444154).

The spelling of 3201313131 in words is "three billion, two hundred one million, three hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 3 9 27 67 201 577 603 1731 1809 3067 5193 9201 15579 27603 38659 82809 115977 205489 347931 616467 1043793 1769659 1849401 5308977 5548203 15926931 47780793 118567153 355701459 1067104377 3201313131