Search a number
-
+
22302132112134 = 233761396248531
BaseRepresentation
bin1010001001000100111101…
…01010011000101100000110
32220222001200221011220101000
411010202132222120230012
510410344231310042014
6115233242534514130
74461163424062560
oct504423652305406
986861627156330
1022302132112134
117119310186566
122602376b05946
13c5a10b2c9004
14571601098330
1528a1e27ce509
hex14489ea98b06

22302132112134 has 64 divisors (see below), whose sum is σ = 56732734702080. Its totient is φ = 6361642838880.

The previous prime is 22302132112133. The next prime is 22302132112193. The reversal of 22302132112134 is 43121123120322.

22302132112134 is a `hidden beast` number, since 2 + 2 + 302 + 1 + 321 + 1 + 2 + 1 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22302132112098 and 22302132112107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22302132112133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47892552 + ... + 48355979.

It is an arithmetic number, because the mean of its divisors is an integer number (886448979720).

Almost surely, 222302132112134 is an apocalyptic number.

22302132112134 is an abundant number, since it is smaller than the sum of its proper divisors (34430602589946).

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

22302132112134 is a wasteful number, since it uses less digits than its factorization.

22302132112134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96249162 (or 96249156 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 22302132112134 its reverse (43121123120322), we get a palindrome (65423255232456).

The spelling of 22302132112134 in words is "twenty-two trillion, three hundred two billion, one hundred thirty-two million, one hundred twelve thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 613 1226 1839 3678 4291 5517 8582 11034 12873 16551 25746 33102 38619 77238 115857 231714 96248531 192497062 288745593 577491186 673739717 866236779 1347479434 1732473558 2021219151 2598710337 4042438302 5197420674 6063657453 12127314906 18190972359 36381944718 59000349503 118000699006 177001048509 354002097018 413002446521 531003145527 826004893042 1062006291054 1239007339563 1593009436581 2478014679126 3186018873162 3717022018689 7434044037378 11151066056067 22302132112134