Search a number
-
+
122201101231 = 11149173631683
BaseRepresentation
bin111000111001111000…
…0001101001110101111
3102200102101221010202021
41301303300031032233
54000231440214411
6132045521411011
711554154136106
oct1616360151657
9380371833667
10122201101231
1147909377050
121b824a99a67
13b6a6213031
145cb37cd03d
1532a333da71
hex1c73c0d3af

122201101231 has 32 divisors (see below), whose sum is σ = 135392601600. Its totient is φ = 109374249600.

The previous prime is 122201101229. The next prime is 122201101237. The reversal of 122201101231 is 132101102221.

It is not a de Polignac number, because 122201101231 - 21 = 122201101229 is a prime.

It is a super-2 number, since 2×1222011012312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122201101237) 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, 178917816 + ... + 178918498.

It is an arithmetic number, because the mean of its divisors is an integer number (4231018800).

Almost surely, 2122201101231 is an apocalyptic number.

122201101231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122201101231 is a deficient number, since it is larger than the sum of its proper divisors (13191500369).

122201101231 is a wasteful number, since it uses less digits than its factorization.

122201101231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 122201101231 its reverse (132101102221), we get a palindrome (254302203452).

The spelling of 122201101231 in words is "one hundred twenty-two billion, two hundred one million, one hundred one thousand, two hundred thirty-one".

Divisors: 1 11 149 173 631 683 1639 1903 6941 7513 25777 94019 101767 109163 118159 283547 430973 1034209 1119437 1200793 1299749 4740703 16265287 17605691 64214977 74558329 178918157 193662601 706364747 820141619 11109191021 122201101231