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100011220023 = 31113219193889
BaseRepresentation
bin101110100100100100…
…0100001110000110111
3100120010221202101020010
41131021020201300313
53114310333020043
6113540003311303
710140241225641
oct1351110416067
9316127671203
10100011220023
11394617a9950
121747167b533
13957ac3a700
144baa741891
152905204133
hex1749221c37

100011220023 has 48 divisors (see below), whose sum is σ = 158348113920. Its totient is φ = 55656806400.

The previous prime is 100011220019. The next prime is 100011220051. The reversal of 100011220023 is 320022110001.

It is not a de Polignac number, because 100011220023 - 22 = 100011220019 is a prime.

It is a super-2 number, since 2×1000112200232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100011219990 and 100011220008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011220073) 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 47 ways as a sum of consecutive naturals, for example, 1018263 + ... + 1112151.

It is an arithmetic number, because the mean of its divisors is an integer number (3298919040).

Almost surely, 2100011220023 is an apocalyptic number.

100011220023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100011220023 is a deficient number, since it is larger than the sum of its proper divisors (58336893897).

100011220023 is a wasteful number, since it uses less digits than its factorization.

100011220023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94120 (or 94107 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100011220023 its reverse (320022110001), we get a palindrome (420033330024).

The spelling of 100011220023 in words is "one hundred billion, eleven million, two hundred twenty thousand, twenty-three".

Divisors: 1 3 11 13 33 39 143 169 191 429 507 573 1859 2101 2483 5577 6303 7449 27313 32279 81939 93889 96837 281667 355069 1032779 1065207 1220557 3098337 3661671 13426127 15867241 17932799 40278381 47601723 53798397 174539651 197260789 233126387 523618953 591782367 699379161 2564390257 3030643031 7693170771 9091929093 33337073341 100011220023