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13422032431431 = 3131959397773317
BaseRepresentation
bin1100001101010000111101…
…1110011010100101000111
31202112010121111222101022020
43003110033132122211013
53224401310300301211
644313555132134223
72553465322154361
oct303241736324507
952463544871266
1013422032431431
114305285439a08
121609343607373
137648cca92320
143458b63abd31
15184210468306
hexc350f79a947

13422032431431 has 64 divisors (see below), whose sum is σ = 20682853900800. Its totient is φ = 7672977455616.

The previous prime is 13422032431427. The next prime is 13422032431481. The reversal of 13422032431431 is 13413423022431.

It is not a de Polignac number, because 13422032431431 - 22 = 13422032431427 is a prime.

It is a super-2 number, since 2×134220324314312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13422032431392 and 13422032431401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13422032431481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16969785 + ... + 17743101.

It is an arithmetic number, because the mean of its divisors is an integer number (323169592200).

Almost surely, 213422032431431 is an apocalyptic number.

13422032431431 is a deficient number, since it is larger than the sum of its proper divisors (7260821469369).

13422032431431 is a wasteful number, since it uses less digits than its factorization.

13422032431431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773808.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 13422032431431 its reverse (13413423022431), we get a palindrome (26835455453862).

The spelling of 13422032431431 in words is "thirteen trillion, four hundred twenty-two billion, thirty-two million, four hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 3 13 19 39 57 59 177 247 397 741 767 1121 1191 2301 3363 5161 7543 14573 15483 22629 23423 43719 70269 98059 294177 304499 445037 773317 913497 1335111 2319951 5785481 10053121 14693023 17356443 30159363 44079069 45625703 136877109 191009299 307006849 573027897 593134139 866888357 921020547 1779402417 2600665071 3991089037 5833130131 11269548641 11973267111 17499390393 18113404091 33808645923 54340212273 75830691703 227492075109 235474253183 344154677729 706422759549 1032464033187 4474010810477 13422032431431