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11022032012319 = 3279131118337059
BaseRepresentation
bin1010000001100100010001…
…0011011000010000011111
31110000200210100202212102200
42200121010103120100133
52421041110143343234
635235241314022543
72215213141201356
oct240310423302037
943020710685380
1011022032012319
11356a4657aa959
1212a0188277a53
1361c4b0aa3c33
142a167d68a99d
15141a95a0cd99
hexa06444d841f

11022032012319 has 24 divisors (see below), whose sum is σ = 16245311596800. Its totient is φ = 7199626608720.

The previous prime is 11022032012237. The next prime is 11022032012351. The reversal of 11022032012319 is 91321023022011.

11022032012319 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 20 + 320 + 1 + 2 + 319 = 666.

It is not a de Polignac number, because 11022032012319 - 27 = 11022032012191 is a prime.

It is a super-2 number, since 2×110220320123192 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11022032012292 and 11022032012301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11022032012359) 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 23 ways as a sum of consecutive naturals, for example, 59075389 + ... + 59261670.

It is an arithmetic number, because the mean of its divisors is an integer number (676887983200).

Almost surely, 211022032012319 is an apocalyptic number.

11022032012319 is a deficient number, since it is larger than the sum of its proper divisors (5223279584481).

11022032012319 is a wasteful number, since it uses less digits than its factorization.

11022032012319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118337275 (or 118337272 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 11022032012319 in words is "eleven trillion, twenty-two billion, thirty-two million, twelve thousand, three hundred nineteen".

Divisors: 1 3 9 79 131 237 393 711 1179 10349 31047 93141 118337059 355011177 1065033531 9348627661 15502154729 28045882983 46506464187 84137648949 139519392561 1224670223591 3674010670773 11022032012319