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122531413422 = 231143674011607
BaseRepresentation
bin111001000011101110…
…0001111110110101110
3102201021102110201220010
41302013130033312232
54001421020212142
6132142401234050
711565304554315
oct1620734176656
9381242421803
10122531413422
1147a68874530
121b8b7632926
13b729794c32
145d0561327c
1532c2338e9c
hex1c8770fdae

122531413422 has 128 divisors (see below), whose sum is σ = 278507040768. Its totient is φ = 35614656000.

The previous prime is 122531413399. The next prime is 122531413429. The reversal of 122531413422 is 224314135221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 122531413422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122531413429) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76247743 + ... + 76249349.

It is an arithmetic number, because the mean of its divisors is an integer number (2175836256).

Almost surely, 2122531413422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122531413422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139253520384).

122531413422 is an abundant number, since it is smaller than the sum of its proper divisors (155975627346).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122531413422 is a wasteful number, since it uses less digits than its factorization.

122531413422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134.

The product of its digits is 11520, while the sum is 30.

Adding to 122531413422 its reverse (224314135221), we get a palindrome (346845548643).

The spelling of 122531413422 in words is "one hundred twenty-two billion, five hundred thirty-one million, four hundred thirteen thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 43 66 67 86 129 134 201 258 401 402 473 737 802 946 1203 1419 1474 1607 2211 2406 2838 2881 3214 4411 4422 4821 5762 8643 8822 9642 13233 17243 17286 17677 26466 26867 31691 34486 35354 51729 53031 53734 63382 69101 80601 95073 103458 106062 107669 138202 161202 189673 190146 207303 215338 295537 323007 379346 414606 569019 591074 644407 646014 760111 886611 1138038 1155281 1184359 1288814 1520222 1773222 1933221 2280333 2310562 2368718 3465843 3553077 3866442 4560666 4629767 6931686 7088477 7106154 9259534 12708091 13889301 14176954 21265431 25416182 27709501 27778602 38124273 42530862 43175269 50927437 55419002 76248546 83128503 86350538 101854874 129525807 152782311 166257006 259051614 304804511 305564622 474927959 609609022 914413533 949855918 1424783877 1828827066 1856536567 2849567754 3713073134 5569609701 11139219402 20421902237 40843804474 61265706711 122531413422