Search a number
-
+
1133120000322 = 232174159789021
BaseRepresentation
bin10000011111010011001…
…101110001000101000010
311000022210002012002221100
4100133103031301011002
5122031112210002242
62224314222035230
7144602525041152
oct20372315610502
94008702162840
101133120000322
113a760a777492
12163733718b16
1382b1167b9bb
143cbb4034762
151e71d47454c
hex107d3371142

1133120000322 has 48 divisors (see below), whose sum is σ = 2599602283512. Its totient is φ = 355476088320.

The previous prime is 1133120000293. The next prime is 1133120000357. The reversal of 1133120000322 is 2230000213311.

1133120000322 is a `hidden beast` number, since 11 + 331 + 2 + 0 + 0 + 0 + 0 + 322 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1075495517721 + 57624482601 = 1037061^2 + 240051^2 .

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 = 1133120000295 and 1133120000304.

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, 12684172 + ... + 12773192.

Almost surely, 21133120000322 is an apocalyptic number.

1133120000322 is an abundant number, since it is smaller than the sum of its proper divisors (1466482283190).

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

1133120000322 is a wasteful number, since it uses less digits than its factorization.

1133120000322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130643 (or 130640 counting only the distinct ones).

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

Adding to 1133120000322 its reverse (2230000213311), we get a palindrome (3363120213633).

The spelling of 1133120000322 in words is "one trillion, one hundred thirty-three billion, one hundred twenty million, three hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 41597 83194 89021 124791 178042 249582 267063 374373 534126 707149 748746 801189 1414298 1513357 1602378 2121447 3026714 4242894 4540071 6364341 9080142 12728682 13620213 27240426 3703006537 7406013074 11109019611 22218039222 33327058833 62951111129 66654117666 125902222258 188853333387 377706666774 566560000161 1133120000322