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13212433421231 = 11435373137151349
BaseRepresentation
bin1100000001000100001001…
…1001101001001110101111
31201210002121012110110021112
43000101002121221032233
53212433030423434411
644033412542022235
72532365263032032
oct300210231511657
951702535413245
1013212433421231
1142343a8245330
1215947a927797b
1374ac08b82975
143396b1509019
1517da44442b8b
hexc04426693af

13212433421231 has 128 divisors (see below), whose sum is σ = 15489953740800. Its totient is φ = 11163350016000.

The previous prime is 13212433421183. The next prime is 13212433421263.

13212433421231 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13212433421231 - 218 = 13212433159087 is a prime.

It is a super-2 number, since 2×132124334212312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13212433420231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37857975245 + ... + 37857975593.

It is an arithmetic number, because the mean of its divisors is an integer number (121015263600).

Almost surely, 213212433421231 is an apocalyptic number.

13212433421231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13212433421231 is a deficient number, since it is larger than the sum of its proper divisors (2277520319569).

13212433421231 is a wasteful number, since it uses less digits than its factorization.

13212433421231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817.

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 1321243 and 3421231, that added together give a palindrome (4742474).

The spelling of 13212433421231 in words is "thirteen trillion, two hundred twelve billion, four hundred thirty-three million, four hundred twenty-one thousand, two hundred thirty-one".

Divisors: 1 11 43 53 73 137 151 349 473 583 803 1507 1661 2279 3139 3839 3869 5891 6493 7261 8003 10001 11023 15007 18497 20687 25069 25477 34529 42559 47813 52699 64801 71423 79871 88033 110011 121253 165077 166367 203467 227557 280247 312223 344129 430043 473989 525943 530053 579689 584219 795371 889541 1095511 1096411 1350281 1510151 1830037 2055959 2266057 2534089 2793047 3434453 3490349 3785419 3847027 4730473 5213879 5830583 6426409 7219763 8749081 9784951 12050621 12060521 14853091 16611661 22615549 22792279 24926627 25121417 27874979 30723517 38393839 42317297 47145673 58062083 64936493 79417393 80038003 108965827 120101021 150085007 165422161 184988497 203892431 250715069 276335587 310449809 382647439 518602403 527042699 638682913 714301423 880418033 1198624097 1321111231 1650935077 1819643771 2034873467 2242816741 3414947899 3441634129 4209121829 5797469689 7954505371 8767374533 16453839877 22662836057 27933263047 37857975419 87499559081 96441119863 180992238647 249291196627 307265893517 1201130311021 13212433421231