Search a number
-
+
122201112011111 = 7192931682943223
BaseRepresentation
bin11011110010010000101001…
…110111110110000101100111
3121000200022102121100120212122
4123302100221313312011213
5112004120334133323421
61111522225454140155
734511511321446150
oct3362205167660547
9530608377316778
10122201112011111
1135a34222a54641
12118574891b165b
1353256914a7c43
1422267cb588927
15e1dae85122ab
hex6f2429df6167

122201112011111 has 16 divisors (see below), whose sum is σ = 152078127475200. Its totient is φ = 95809220303328.

The previous prime is 122201112011101. The next prime is 122201112011113. The reversal of 122201112011111 is 111110211102221.

It is not a de Polignac number, because 122201112011111 - 226 = 122201044902247 is a prime.

It is a super-2 number, since 2×1222011120111112 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122201112011111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122201112011113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15841467755 + ... + 15841475468.

It is an arithmetic number, because the mean of its divisors is an integer number (9504882967200).

Almost surely, 2122201112011111 is an apocalyptic number.

122201112011111 is a deficient number, since it is larger than the sum of its proper divisors (29877015464089).

122201112011111 is a wasteful number, since it uses less digits than its factorization.

122201112011111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31682943278.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 122201112011111 its reverse (111110211102221), we get a palindrome (233311323113332).

The spelling of 122201112011111 in words is "one hundred twenty-two trillion, two hundred one billion, one hundred twelve million, eleven thousand, one hundred eleven".

Divisors: 1 7 19 29 133 203 551 3857 31682943223 221780602561 601975921237 918805353467 4213831448659 6431637474269 17457301715873 122201112011111