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122243221431 = 32671937331433
BaseRepresentation
bin111000111011001000…
…0111000011110110111
3102200112100012001210200
41301312100320132313
54000323231041211
6132054024251543
711555205144402
oct1616620703667
9380470161720
10122243221431
1147930125631
121b837010bb3
13b6b1b6c926
145cb9234d39
1532a6dadb56
hex1c764387b7

122243221431 has 48 divisors (see below), whose sum is σ = 180509143776. Its totient is φ = 79698567168.

The previous prime is 122243221409. The next prime is 122243221447. The reversal of 122243221431 is 134122342221.

122243221431 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 4 + 3 + 221 + 431 = 666.

It is not a de Polignac number, because 122243221431 - 26 = 122243221367 is a prime.

It is a super-2 number, since 2×1222432214312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122243221395 and 122243221404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122243221031) 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, 85305091 + ... + 85306523.

It is an arithmetic number, because the mean of its divisors is an integer number (3760607162).

Almost surely, 2122243221431 is an apocalyptic number.

122243221431 is a deficient number, since it is larger than the sum of its proper divisors (58265922345).

122243221431 is a wasteful number, since it uses less digits than its factorization.

122243221431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2429 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 122243221431 its reverse (134122342221), we get a palindrome (256365563652).

The spelling of 122243221431 in words is "one hundred twenty-two billion, two hundred forty-three million, two hundred twenty-one thousand, four hundred thirty-one".

Divisors: 1 3 9 67 193 201 579 603 733 1433 1737 2199 4299 6597 12897 12931 38793 49111 96011 116379 141469 147333 276569 288033 424407 441999 829707 864099 1050389 1273221 2489121 3151167 9453501 9478423 18530123 28435269 55590369 70376063 85305807 166771107 202725077 211128189 608175231 633384567 1824525693 13582580159 40747740477 122243221431