Search a number
-
+
122441052213 = 3213604561357
BaseRepresentation
bin111001000001000001…
…1100011000000110101
3102201001010102220121200
41302002003203000311
54001224402132323
6132125412403113
711563126525464
oct1620203430065
9381033386550
10122441052213
1147a21866847
121b891316499
13b713b4776c
145cd76109db
1532b943a443
hex1c820e3035

122441052213 has 6 divisors (see below), whose sum is σ = 176859297654. Its totient is φ = 81627368136.

The previous prime is 122441052169. The next prime is 122441052247. The reversal of 122441052213 is 312250144221.

122441052213 is a `hidden beast` number, since 1 + 2 + 2 + 441 + 0 + 5 + 2 + 213 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102078333009 + 20362719204 = 319497^2 + 142698^2 .

It is not a de Polignac number, because 122441052213 - 213 = 122441044021 is a prime.

It is a super-3 number, since 3×1224410522133 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122441052413) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6802280670 + ... + 6802280687.

It is an arithmetic number, because the mean of its divisors is an integer number (29476549609).

Almost surely, 2122441052213 is an apocalyptic number.

It is an amenable number.

122441052213 is a deficient number, since it is larger than the sum of its proper divisors (54418245441).

122441052213 is a wasteful number, since it uses less digits than its factorization.

122441052213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13604561363 (or 13604561360 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 122441052213 its reverse (312250144221), we get a palindrome (434691196434).

The spelling of 122441052213 in words is "one hundred twenty-two billion, four hundred forty-one million, fifty-two thousand, two hundred thirteen".

Divisors: 1 3 9 13604561357 40813684071 122441052213