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10033022322 = 232557390129
BaseRepresentation
bin10010101100000001…
…11100010101110010
3221220012220100020100
421112000330111302
5131021423203242
64335322253230
7503425165641
oct112600742562
927805810210
1010033022322
11428941a194
121b40057216
13c3b7acccb
146b26bb358
153dac3254c
hex25603c572

10033022322 has 12 divisors (see below), whose sum is σ = 21738215070. Its totient is φ = 3344340768.

The previous prime is 10033022297. The next prime is 10033022327. The reversal of 10033022322 is 22322033001.

It is a happy number.

10033022322 is a `hidden beast` number, since 10 + 0 + 330 + 2 + 2 + 322 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7473775401 + 2559246921 = 86451^2 + 50589^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 557390129 = 10033022322 / (1 + 0 + 0 + 3 + 3 + 0 + 2 + 2 + 3 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 10033022295 and 10033022304.

It is not an unprimeable number, because it can be changed into a prime (10033022327) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 278695047 + ... + 278695082.

Almost surely, 210033022322 is an apocalyptic number.

10033022322 is an abundant number, since it is smaller than the sum of its proper divisors (11705192748).

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

10033022322 is a wasteful number, since it uses less digits than its factorization.

10033022322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557390137 (or 557390134 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 10033022322 its reverse (22322033001), we get a palindrome (32355055323).

The spelling of 10033022322 in words is "ten billion, thirty-three million, twenty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 557390129 1114780258 1672170387 3344340774 5016511161 10033022322