Search a number
-
+
22100202021042 = 2322729449904361
BaseRepresentation
bin1010000011001100110101…
…01100001110000010110010
32220020202111002002102122100
411001212122230032002302
510344042203204133132
6115000405340121230
74440454415451045
oct501463254160262
986222432072570
1022100202021042
117050708987362
12258b200b36216
13c4406a16ba02
14565926918c5c
15284d24ba637c
hex14199ab0e0b2

22100202021042 has 24 divisors (see below), whose sum is σ = 47901317422140. Its totient is φ = 7364034564480.

The previous prime is 22100202021041. The next prime is 22100202021137. The reversal of 22100202021042 is 24012020200122.

22100202021042 is a `hidden beast` number, since 2 + 210 + 0 + 202 + 0 + 210 + 42 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22073374529361 + 26827491681 = 4698231^2 + 163791^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22100202021041) 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 11 ways as a sum of consecutive naturals, for example, 224903059 + ... + 225001302.

Almost surely, 222100202021042 is an apocalyptic number.

22100202021042 is an abundant number, since it is smaller than the sum of its proper divisors (25801115401098).

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

22100202021042 is a wasteful number, since it uses less digits than its factorization.

22100202021042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449907098 (or 449907095 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22100202021042 its reverse (24012020200122), we get a palindrome (46112222221164).

The spelling of 22100202021042 in words is "twenty-two trillion, one hundred billion, two hundred two million, twenty-one thousand, forty-two".

Divisors: 1 2 3 6 9 18 2729 5458 8187 16374 24561 49122 449904361 899808722 1349713083 2699426166 4049139249 8098278498 1227789001169 2455578002338 3683367003507 7366734007014 11050101010521 22100202021042