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1331023122 = 23211133671409
BaseRepresentation
bin100111101010101…
…1100110100010010
310102202112222110200
41033111130310102
510211220214442
6340024240030
744661336612
oct11725346422
93382488420
101331023122
11623367410
12311910016
131829aa860
14c8ab8a42
157bcbc34c
hex4f55cd12

1331023122 has 96 divisors (see below), whose sum is σ = 3399701760. Its totient is φ = 371036160.

The previous prime is 1331023117. The next prime is 1331023151. The reversal of 1331023122 is 2213201331.

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 = 1331023095 and 1331023104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 943954 + ... + 945362.

It is an arithmetic number, because the mean of its divisors is an integer number (35413560).

Almost surely, 21331023122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331023122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699850880).

1331023122 is an abundant number, since it is smaller than the sum of its proper divisors (2068678638).

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

1331023122 is a wasteful number, since it uses less digits than its factorization.

1331023122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1805 counting only the distinct ones).

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

The square root of 1331023122 is about 36483.1895809563. The cubic root of 1331023122 is about 1100.0063696601.

Adding to 1331023122 its reverse (2213201331), we get a palindrome (3544224453).

The spelling of 1331023122 in words is "one billion, three hundred thirty-one million, twenty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 367 429 734 858 1101 1287 1409 2202 2574 2818 3303 4037 4227 4771 6606 8074 8454 9542 12111 12681 14313 15499 18317 24222 25362 28626 30998 36333 36634 42939 46497 52481 54951 72666 85878 92994 104962 109902 139491 157443 164853 201487 278982 314886 329706 402974 472329 517103 604461 944658 1034206 1208922 1551309 1813383 3102618 3626766 4653927 5688133 6722339 9307854 11376266 13444678 17064399 20167017 34128798 40334034 51193197 60501051 73945729 102386394 121002102 147891458 221837187 443674374 665511561 1331023122