Search a number
-
+
10022133332223 = 3247152315556787
BaseRepresentation
bin1001000111010111010110…
…1100100111100011111111
31022111002212201000000201200
42101311311230213203333
52303200312113112343
633152034323110543
72053034543512545
oct221656554474377
938432781000650
1010022133332223
1132143a9a98121
12115a434212453
135791107c18cc
14269106899d95
15125a7310c4d3
hex91d75b278ff

10022133332223 has 24 divisors (see below), whose sum is σ = 14794132025088. Its totient is φ = 6534970208592.

The previous prime is 10022133332209. The next prime is 10022133332227. The reversal of 10022133332223 is 32223333122001.

10022133332223 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 2 + 1 + 333 + 322 + 2 + 3 = 666.

It is not a de Polignac number, because 10022133332223 - 212 = 10022133328127 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022133332227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7134165 + ... + 8422622.

It is an arithmetic number, because the mean of its divisors is an integer number (616422167712).

Almost surely, 210022133332223 is an apocalyptic number.

10022133332223 is a deficient number, since it is larger than the sum of its proper divisors (4771998692865).

10022133332223 is a wasteful number, since it uses less digits than its factorization.

10022133332223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15558363 (or 15558360 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 10022133332223 its reverse (32223333122001), we get a palindrome (42245466454224).

The spelling of 10022133332223 in words is "ten trillion, twenty-two billion, one hundred thirty-three million, three hundred thirty-two thousand, two hundred twenty-three".

Divisors: 1 3 9 47 141 423 1523 4569 13707 71581 214743 644229 15556787 46670361 140011083 731168989 2193506967 6580520901 23692986601 71078959803 213236879409 1113570370247 3340711110741 10022133332223