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12260581971 = 311487762901
BaseRepresentation
bin10110110101100100…
…11010001001010011
31011122110110002121120
423122302122021103
5200102202110341
65344334453323
7612554140641
oct133262321123
934573402546
1012260581971
115221862780
122462064243
131205140941
14844490191
154bb595066
hex2dac9a253

12260581971 has 16 divisors (see below), whose sum is σ = 17870216448. Its totient is φ = 7415388000.

The previous prime is 12260581969. The next prime is 12260581973. The reversal of 12260581971 is 17918506221.

12260581971 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12260581969) and next prime (12260581973).

It is not a de Polignac number, because 12260581971 - 21 = 12260581969 is a prime.

It is a super-2 number, since 2×122605819712 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12260581973) 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 15 ways as a sum of consecutive naturals, for example, 365380 + ... + 397521.

It is an arithmetic number, because the mean of its divisors is an integer number (1116888528).

Almost surely, 212260581971 is an apocalyptic number.

12260581971 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12260581971 is a deficient number, since it is larger than the sum of its proper divisors (5609634477).

12260581971 is a wasteful number, since it uses less digits than its factorization.

12260581971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763402.

The product of its (nonzero) digits is 60480, while the sum is 42.

The spelling of 12260581971 in words is "twelve billion, two hundred sixty million, five hundred eighty-one thousand, nine hundred seventy-one".

Divisors: 1 3 11 33 487 1461 5357 16071 762901 2288703 8391911 25175733 371532787 1114598361 4086860657 12260581971