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11221330000965 = 357151707747083
BaseRepresentation
bin1010001101001010101101…
…1000110111110001000101
31110201202012210002200101120
42203102223120313301011
52432322240440012330
635511001405344153
72235500006146140
oct243225330676105
943652183080346
1011221330000965
113636a37278587
121312928868059
1363522282b376
142ab18842d057
15146d5c513c10
hexa34ab637c45

11221330000965 has 32 divisors (see below), whose sum is σ = 20654890899456. Its totient is φ = 5095778990400.

The previous prime is 11221330000963. The next prime is 11221330000973. The reversal of 11221330000965 is 56900003312211.

11221330000965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11221330000965 - 21 = 11221330000963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221330000961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353857687 + ... + 353889396.

It is an arithmetic number, because the mean of its divisors is an integer number (645465340608).

Almost surely, 211221330000965 is an apocalyptic number.

11221330000965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11221330000965 is a deficient number, since it is larger than the sum of its proper divisors (9433560898491).

11221330000965 is a wasteful number, since it uses less digits than its factorization.

11221330000965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707747249.

The product of its (nonzero) digits is 9720, while the sum is 33.

The spelling of 11221330000965 in words is "eleven trillion, two hundred twenty-one billion, three hundred thirty million, nine hundred sixty-five", and thus it is an aban number.

Divisors: 1 3 5 7 15 21 35 105 151 453 755 1057 2265 3171 5285 15855 707747083 2123241249 3538735415 4954229581 10616206245 14862688743 24771147905 74313443715 106869809533 320609428599 534349047665 748088666731 1603047142995 2244266000193 3740443333655 11221330000965