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91001111012122 = 2612371314597531
BaseRepresentation
bin10100101100001111011000…
…111001010110001100011010
3102221012121202220001222001111
4110230033120321112030122
543411430233404341442
6521313155553010534
725111420235623243
oct2454173071261432
9387177686058044
1091001111012122
1126aa5399854993
12a25875bb53a4a
133ba14a24c139c
1418686978d3cca
15a7c233901b17
hex52c3d8e5631a

91001111012122 has 16 divisors (see below), whose sum is σ = 138797914338144. Its totient is φ = 44735768766000.

The previous prime is 91001111012033. The next prime is 91001111012129. The reversal of 91001111012122 is 22121011110019.

It is a happy number.

It is a super-3 number, since 3×910011110121223 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 91001111012093 and 91001111012102.

It is not an unprimeable number, because it can be changed into a prime (91001111012129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157009504 + ... + 157588027.

It is an arithmetic number, because the mean of its divisors is an integer number (8674869646134).

Almost surely, 291001111012122 is an apocalyptic number.

91001111012122 is a deficient number, since it is larger than the sum of its proper divisors (47796803326022).

91001111012122 is a wasteful number, since it uses less digits than its factorization.

91001111012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314599965.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 91001111012122 in words is "ninety-one trillion, one billion, one hundred eleven million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 61 122 2371 4742 144631 289262 314597531 629195062 19190449391 38380898782 745910746001 1491821492002 45500555506061 91001111012122