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12201222231 = 32113747131541
BaseRepresentation
bin10110101110011111…
…11110000001010111
31011111022202022100200
423113033332001113
5144442003102411
65334414311543
7611233451322
oct132717760127
934438668320
1012201222231
1151a12a9940
1224461b85b3
1311c5a59233
1483a63b7b9
154b626be56
hex2d73fe057

12201222231 has 96 divisors (see below), whose sum is σ = 20357415936. Its totient is φ = 6975072000.

The previous prime is 12201222199. The next prime is 12201222247. The reversal of 12201222231 is 13222210221.

12201222231 is a `hidden beast` number, since 12 + 201 + 222 + 231 = 666.

It is not a de Polignac number, because 12201222231 - 25 = 12201222199 is a prime.

It is a super-2 number, since 2×122012222312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201222731) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22552821 + ... + 22553361.

It is an arithmetic number, because the mean of its divisors is an integer number (212056416).

Almost surely, 212201222231 is an apocalyptic number.

12201222231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12201222231 is a deficient number, since it is larger than the sum of its proper divisors (8156193705).

12201222231 is a wasteful number, since it uses less digits than its factorization.

12201222231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12201222231 its reverse (13222210221), we get a palindrome (25423432452).

It can be divided in two parts, 12201 and 222231, that added together give a palindrome (234432).

The spelling of 12201222231 in words is "twelve billion, two hundred one million, two hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 3 9 11 33 37 47 99 111 131 141 333 393 407 423 517 541 1179 1221 1441 1551 1623 1739 3663 4323 4653 4847 4869 5217 5951 6157 12969 14541 15651 17853 18471 19129 20017 25427 43623 53317 53559 55413 57387 60051 67727 70871 76281 159951 172161 180153 203181 212613 220187 227809 228843 279697 479853 609543 637839 660561 683427 779581 839091 940799 1981683 2050281 2338743 2505899 2517273 2622227 2822397 3330937 7016229 7517697 7866681 8467191 9992811 10348789 22553091 23600043 28844497 29978433 31046367 36640307 86533491 93139101 109920921 123244669 259600473 329762763 369734007 1109202021 1355691359 4067074077 12201222231