Search a number
-
+
122146641221 = 1111104240111
BaseRepresentation
bin111000111000010000…
…0011101010101000101
3102200021121110021122212
41301300200131111011
54000124020004341
6132040254233205
711552623214423
oct1616040352505
9380247407585
10122146641221
114789065a480
121b80a7b5805
13b697b55887
145caa494113
15329d6825eb
hex1c7081d545

122146641221 has 4 divisors (see below), whose sum is σ = 133250881344. Its totient is φ = 111042401100.

The previous prime is 122146641203. The next prime is 122146641247.

122146641221 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122146641221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122146646221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5552120045 + ... + 5552120066.

It is an arithmetic number, because the mean of its divisors is an integer number (33312720336).

Almost surely, 2122146641221 is an apocalyptic number.

122146641221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122146641221 is a deficient number, since it is larger than the sum of its proper divisors (11104240123).

122146641221 is a wasteful number, since it uses less digits than its factorization.

122146641221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11104240122.

The product of its digits is 9216, while the sum is 32.

It can be divided in two parts, 122146 and 641221, that added together give a palindrome (763367).

The spelling of 122146641221 in words is "one hundred twenty-two billion, one hundred forty-six million, six hundred forty-one thousand, two hundred twenty-one".

Divisors: 1 11 11104240111 122146641221