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12210310114431 = 31113171699985433
BaseRepresentation
bin1011000110101110111100…
…1100100110110001111111
31121020021221111122212102220
42301223233030212301333
53100023203342130211
641545201121420423
72400110603335122
oct261535714466177
947207844585386
1012210310114431
1139883aa812630
12145253419a713
136a7572a28990
14302da70aa3b9
151629415ad806
hexb1aef326c7f

12210310114431 has 64 divisors (see below), whose sum is σ = 20263676428800. Its totient is φ = 6425331978240.

The previous prime is 12210310114417. The next prime is 12210310114441. The reversal of 12210310114431 is 13441101301221.

It is not a de Polignac number, because 12210310114431 - 211 = 12210310112383 is a prime.

It is a super-2 number, since 2×122103101144312 (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 (12210310114441) 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, 11898091 + ... + 12883523.

It is an arithmetic number, because the mean of its divisors is an integer number (316619944200).

Almost surely, 212210310114431 is an apocalyptic number.

12210310114431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12210310114431 is a deficient number, since it is larger than the sum of its proper divisors (8053366314369).

12210310114431 is a wasteful number, since it uses less digits than its factorization.

12210310114431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987176.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 12210310114431 its reverse (13441101301221), we get a palindrome (25651411415652).

The spelling of 12210310114431 in words is "twelve trillion, two hundred ten billion, three hundred ten million, one hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 3 11 13 17 33 39 51 143 187 221 429 561 663 1699 2431 5097 7293 18689 22087 28883 56067 66261 86649 242957 317713 375479 728871 953139 985433 1126437 2956299 4130269 10839763 12390807 12810629 16752361 32519289 38431887 50257083 140916919 184275971 217780693 422750757 552827913 653342079 1674250667 2395587623 5022752001 7186762869 18416757337 21765258671 28462261339 55250272011 65295776013 85386784017 239417845381 313084874729 370009397407 718253536143 939254624187 1110028192221 4070103371477 12210310114431