Search a number
-
+
10022120122122 = 2324791162389251
BaseRepresentation
bin1001000111010111010011…
…1010001110011100001010
31022111002211210010212212200
42101311310322032130022
52303200300222401442
633152033132021030
72053034323313253
oct221656472163412
938432753125780
1010022120122122
1132143a2595189
12115a42b901776
1357910ab47b94
14269104c1bb2a
15125a71d9d34c
hex91d74e8e70a

10022120122122 has 24 divisors (see below), whose sum is σ = 21759926797440. Its totient is φ = 3333732369000.

The previous prime is 10022120122109. The next prime is 10022120122127. The reversal of 10022120122122 is 22122102122001.

It is a happy number.

10022120122122 is a `hidden beast` number, since 1 + 0 + 0 + 221 + 201 + 221 + 22 = 666.

10022120122122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10022120122095 and 10022120122104.

It is not an unprimeable number, because it can be changed into a prime (10022120122127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 581186004 + ... + 581203247.

It is an arithmetic number, because the mean of its divisors is an integer number (906663616560).

Almost surely, 210022120122122 is an apocalyptic number.

10022120122122 is an abundant number, since it is smaller than the sum of its proper divisors (11737806675318).

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

10022120122122 is a wasteful number, since it uses less digits than its factorization.

10022120122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162389738 (or 1162389735 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10022120122122 its reverse (22122102122001), we get a palindrome (32144222244123).

The spelling of 10022120122122 in words is "ten trillion, twenty-two billion, one hundred twenty million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 479 958 1437 2874 4311 8622 1162389251 2324778502 3487167753 6974335506 10461503259 20923006518 556784451229 1113568902458 1670353353687 3340706707374 5011060061061 10022120122122