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10033033122 = 2327211375321
BaseRepresentation
bin10010101100000001…
…11110111110100010
3221220012220220001100
421112000332332202
5131021424024442
64335322415230
7503425242300
oct112600767642
927805826040
1010033033122
114289427312
121b40061516
13c3b7b4bb8
146b26c1270
153dac3584c
hex25603efa2

10033033122 has 36 divisors (see below), whose sum is σ = 25287340806. Its totient is φ = 2866580640.

The previous prime is 10033033117. The next prime is 10033033187. The reversal of 10033033122 is 22133033001.

10033033122 is a `hidden beast` number, since 1 + 0 + 0 + 330 + 331 + 2 + 2 = 666.

10033033122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9996200361 + 36832761 = 99981^2 + 6069^2 .

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 = 10033033095 and 10033033104.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 5686779 + ... + 5688542.

Almost surely, 210033033122 is an apocalyptic number.

10033033122 is an abundant number, since it is smaller than the sum of its proper divisors (15254307684).

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

10033033122 is a wasteful number, since it uses less digits than its factorization.

10033033122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11375343 (or 11375333 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10033033122 its reverse (22133033001), we get a palindrome (32166066123).

The spelling of 10033033122 in words is "ten billion, thirty-three million, thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 11375321 22750642 34125963 68251926 79627247 102377889 159254494 204755778 238881741 477763482 557390729 716645223 1114781458 1433290446 1672172187 3344344374 5016516561 10033033122