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11292022019311 = 1110146643217907
BaseRepresentation
bin1010010001010010000011…
…1101100001010011101111
31110222111200102121021222021
42210110200331201103233
52440002030114104221
640003252220531011
72243551555325035
oct244244075412357
943874612537867
1011292022019311
113663a13058240
1213245773b0a67
1363baaa44c117
142b0772d02555
15148ae876c041
hexa4520f614ef

11292022019311 has 16 divisors (see below), whose sum is σ = 12440859320448. Its totient is φ = 10163571652000.

The previous prime is 11292022019309. The next prime is 11292022019321. The reversal of 11292022019311 is 11391022029211.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11292022019311 - 21 = 11292022019309 is a prime.

It is a super-2 number, since 2×112920220193112 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11292022019321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51711420 + ... + 51929326.

It is an arithmetic number, because the mean of its divisors is an integer number (777553707528).

Almost surely, 211292022019311 is an apocalyptic number.

11292022019311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11292022019311 is a deficient number, since it is larger than the sum of its proper divisors (1148837301137).

11292022019311 is a wasteful number, since it uses less digits than its factorization.

11292022019311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264662.

The product of its (nonzero) digits is 3888, while the sum is 34.

The spelling of 11292022019311 in words is "eleven trillion, two hundred ninety-two billion, twenty-two million, nineteen thousand, three hundred eleven".

Divisors: 1 11 101 1111 46643 217907 513073 2396977 4710943 22008607 51820373 242094677 10163836201 111802198211 1026547456301 11292022019311