Search a number
-
+
122204402221 = 11311037874421
BaseRepresentation
bin111000111001111110…
…0110011001000101101
3102200102122010211212011
41301303330303020231
54000233311332341
6132050120241221
711554224165016
oct1616374631055
9380378124764
10122204402221
1147910221140
121b826010211
13b6a6aca695
145cb400c00d
1532a3791b81
hex1c73f3322d

122204402221 has 32 divisors (see below), whose sum is σ = 139158429696. Its totient is φ = 106308072000.

The previous prime is 122204402209. The next prime is 122204402239.

122204402221 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 122204402221 - 25 = 122204402189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122204402192 and 122204402201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122204402261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27639591 + ... + 27644011.

It is an arithmetic number, because the mean of its divisors is an integer number (4348700928).

Almost surely, 2122204402221 is an apocalyptic number.

122204402221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122204402221 is a deficient number, since it is larger than the sum of its proper divisors (16954027475).

122204402221 is a wasteful number, since it uses less digits than its factorization.

122204402221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5353.

The product of its (nonzero) digits is 1024, while the sum is 22.

It can be divided in two parts, 122204 and 402221, that added together give a palindrome (524425).

The spelling of 122204402221 in words is "one hundred twenty-two billion, two hundred four million, four hundred two thousand, two hundred twenty-one".

Divisors: 1 11 31 103 341 787 1133 3193 4421 8657 24397 35123 48631 81061 137051 268367 455363 891671 1507561 2512891 3479327 5008993 14116253 27641801 38272597 107859137 155278783 358370681 1186450507 3942077491 11109491111 122204402221