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4130331012 = 2232557205981
BaseRepresentation
bin1111011000101111…
…1101100110000100
3101122211221112222200
43312023331212010
531424331043022
61521503154500
7204232143243
oct36613754604
911584845880
104130331012
11182a511905
129732a5a30
1350a924a62
142b279c95a
1519291bbac
hexf62fd984

4130331012 has 36 divisors (see below), whose sum is σ = 10459353996. Its totient is φ = 1374298560.

The previous prime is 4130330989. The next prime is 4130331019. The reversal of 4130331012 is 2101330314.

4130331012 is a `hidden beast` number, since 41 + 303 + 310 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2147766336 + 1982564676 = 46344^2 + 44526^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (4130331019) 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, 82939 + ... + 123042.

It is an arithmetic number, because the mean of its divisors is an integer number (290537611).

Almost surely, 24130331012 is an apocalyptic number.

It is an amenable number.

4130331012 is an abundant number, since it is smaller than the sum of its proper divisors (6329022984).

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

4130331012 is a wasteful number, since it uses less digits than its factorization.

4130331012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206548 (or 206543 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 4130331012 is about 64267.6513652086. The cubic root of 4130331012 is about 1604.4577525961.

Adding to 4130331012 its reverse (2101330314), we get a palindrome (6231661326).

The spelling of 4130331012 in words is "four billion, one hundred thirty million, three hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 557 1114 1671 2228 3342 5013 6684 10026 20052 205981 411962 617943 823924 1235886 1853829 2471772 3707658 7415316 114731417 229462834 344194251 458925668 688388502 1032582753 1376777004 2065165506 4130331012