Search a number
-
+
122210022100001 = 11104291065298879
BaseRepresentation
bin11011110010011000111100…
…111101001000110000100001
3121000201011102120021000000212
4123302120330331020300201
5112004242111124200001
61111530301544223505
734512245163114533
oct3362307475106041
9530634376230025
10122210022100001
1135a37a85515270
121185915516ab95
1353264814378a4
142226dd4a77853
15e1de6a87d7bb
hex6f263cf48c21

122210022100001 has 8 divisors (see below), whose sum is σ = 133332807820800. Its totient is φ = 111089366997840.

The previous prime is 122210022099983. The next prime is 122210022100009. The reversal of 122210022100001 is 100001220012221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-122210022100001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122210022100009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 532534721 + ... + 532764158.

It is an arithmetic number, because the mean of its divisors is an integer number (16666600977600).

Almost surely, 2122210022100001 is an apocalyptic number.

122210022100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122210022100001 is a deficient number, since it is larger than the sum of its proper divisors (11122785720799).

122210022100001 is a wasteful number, since it uses less digits than its factorization.

122210022100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065309319.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122210022100001 its reverse (100001220012221), we get a palindrome (222211242112222).

The spelling of 122210022100001 in words is "one hundred twenty-two trillion, two hundred ten billion, twenty-two million, one hundred thousand, one".

Divisors: 1 11 10429 114719 1065298879 11718287669 11110002009091 122210022100001