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11021312322 = 2323746135897
BaseRepresentation
bin10100100001110101…
…11110000101000010
31001110002112200020200
422100322332011002
5140032423443242
65021344550030
7540055415616
oct122072760502
931402480220
1011021312322
114746275089
122177022316
13106847a1a7
14767a5b346
1544789e04c
hex290ebe142

11021312322 has 48 divisors (see below), whose sum is σ = 24578786232. Its totient is φ = 3566626560.

The previous prime is 11021312297. The next prime is 11021312353. The reversal of 11021312322 is 22321312011.

11021312322 is a `hidden beast` number, since 1 + 10 + 21 + 312 + 322 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10726537761 + 294774561 = 103569^2 + 17169^2 .

It is a super-4 number, since 4×110213123224 (a number of 41 digits) contains 4444 as substring.

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 = 11021312295 and 11021312304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289078 + ... + 324974.

Almost surely, 211021312322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11021312322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12289393116).

11021312322 is an abundant number, since it is smaller than the sum of its proper divisors (13557473910).

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

11021312322 is a wasteful number, since it uses less digits than its factorization.

11021312322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36403 (or 36400 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11021312322 its reverse (22321312011), we get a palindrome (33342624333).

The spelling of 11021312322 in words is "eleven billion, twenty-one million, three hundred twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 461 666 922 1383 2766 4149 8298 17057 34114 35897 51171 71794 102342 107691 153513 215382 307026 323073 646146 1328189 2656378 3984567 7969134 11953701 16548517 23907402 33097034 49645551 99291102 148936653 297873306 612295129 1224590258 1836885387 3673770774 5510656161 11021312322