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122231213231031 = 32731133449477359
BaseRepresentation
bin11011110010101100101100…
…000010111000101110110111
3121000210012010102002222212200
4123302230230002320232313
5112010114011041343111
61111544124423515543
734513625260550622
oct3362545402705667
9530705112088780
10122231213231031
1135a45a6a3426a3
1211861289bb8bb3
13532847a81cb88
142228045220db9
15e1e7aae82256
hex6f2b2c0b8bb7

122231213231031 has 48 divisors (see below), whose sum is σ = 180611351856000. Its totient is φ = 79636695699456.

The previous prime is 122231213231009. The next prime is 122231213231047. The reversal of 122231213231031 is 130132312132221.

122231213231031 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 312 + 1 + 3 + 2 + 310 + 31 = 666.

It is not a de Polignac number, because 122231213231031 - 230 = 122230139489207 is a prime.

It is a super-2 number, since 2×1222312132310312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122231213230986 and 122231213231004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122231213231731) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255818530 + ... + 256295888.

It is an arithmetic number, because the mean of its divisors is an integer number (3762736497000).

Almost surely, 2122231213231031 is an apocalyptic number.

122231213231031 is a deficient number, since it is larger than the sum of its proper divisors (58380138624969).

122231213231031 is a wasteful number, since it uses less digits than its factorization.

122231213231031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481000 (or 480997 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 122231213231031 its reverse (130132312132221), we get a palindrome (252363525363252).

The spelling of 122231213231031 in words is "one hundred twenty-two trillion, two hundred thirty-one billion, two hundred thirteen million, two hundred thirty-one thousand, thirty-one".

Divisors: 1 3 9 73 113 219 339 657 1017 3449 8249 10347 24747 31041 74241 251777 389737 477359 755331 1169211 1432077 2265993 3507633 4296231 28450801 34847207 53941567 85352403 104541621 161824701 256057209 313624863 485474103 1646411191 3937734391 4939233573 11813203173 14817700719 35439609519 120188016943 186044464583 360564050829 558133393749 1081692152487 1674400181247 13581245914559 40743737743677 122231213231031