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1133023122 = 2327117091153
BaseRepresentation
bin100001110001000…
…1000111110010010
32220221222112112100
41003202020332102
54310023214442
6304232341230
740035352260
oct10342107622
92827875470
101133023122
11531620050
12277544816
131509739aa
14aa697430
156970a84c
hex43888f92

1133023122 has 96 divisors (see below), whose sum is σ = 3067608960. Its totient is φ = 293621760.

The previous prime is 1133023117. The next prime is 1133023141. The reversal of 1133023122 is 2213203311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1133023095 and 1133023104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 982098 + ... + 983250.

It is an arithmetic number, because the mean of its divisors is an integer number (31954260).

Almost surely, 21133023122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133023122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533804480).

1133023122 is an abundant number, since it is smaller than the sum of its proper divisors (1934585838).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1133023122 is a wasteful number, since it uses less digits than its factorization.

1133023122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1133023122 is about 33660.4088210467. The cubic root of 1133023122 is about 1042.5084670568.

Adding to 1133023122 its reverse (2213203311), we get a palindrome (3346226433).

The spelling of 1133023122 in words is "one billion, one hundred thirty-three million, twenty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 709 1153 1386 1418 2127 2306 3459 4254 4963 6381 6918 7799 8071 9926 10377 12683 12762 14889 15598 16142 20754 23397 24213 25366 29778 38049 44667 46794 48426 54593 70191 72639 76098 88781 89334 109186 114147 140382 145278 163779 177562 228294 266343 327558 491337 532686 799029 817477 982674 1598058 1634954 2452431 4904862 5722339 7357293 8992247 11444678 14714586 17167017 17984494 26976741 34334034 51501051 53953482 62945729 80930223 103002102 125891458 161860446 188837187 377674374 566511561 1133023122