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31200222102231 = 37131943978714293
BaseRepresentation
bin1110001100000010111100…
…01001111100001011010111
311002110201020010022211110010
413012001132021330023113
513042141023324232411
6150205103440131303
76400066406052510
oct706013611741327
9132421203284403
1031200222102231
119a39a37a96906
1235ba98b306b33
131454225a4c4a0
1479c1551aba07
153918c92377a6
hex1c605e27c2d7

31200222102231 has 128 divisors (see below), whose sum is σ = 55157989089280. Its totient is φ = 15225883642368.

The previous prime is 31200222102167. The next prime is 31200222102263. The reversal of 31200222102231 is 13220122200213.

It is not a de Polignac number, because 31200222102231 - 26 = 31200222102167 is a prime.

It is a super-2 number, since 2×312002221022312 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 31200222102198 and 31200222102207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31200222102281) 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 127 ways as a sum of consecutive naturals, for example, 2182895121 + ... + 2182909413.

It is an arithmetic number, because the mean of its divisors is an integer number (430921789760).

Almost surely, 231200222102231 is an apocalyptic number.

31200222102231 is a deficient number, since it is larger than the sum of its proper divisors (23957766987049).

31200222102231 is a wasteful number, since it uses less digits than its factorization.

31200222102231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24165.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 31200222102231 its reverse (13220122200213), we get a palindrome (44420344302444).

The spelling of 31200222102231 in words is "thirty-one trillion, two hundred billion, two hundred twenty-two million, one hundred two thousand, two hundred thirty-one".

Divisors: 1 3 7 13 19 21 39 43 57 91 129 133 247 273 301 399 559 741 817 903 1677 1729 2451 3913 5187 5719 9787 10621 11739 14293 17157 29361 31863 42879 68509 74347 100051 127231 185809 185953 205527 223041 271567 300153 381693 420841 557427 557859 614599 814701 890617 1262523 1300663 1301671 1843797 1900969 2417389 2671851 2945887 3530371 3901989 3905013 4302193 5470933 5702907 7252167 7989787 7995979 8837661 10591113 11677381 12906579 16412799 16921723 23969361 23987937 24712597 35032143 38296531 50765169 55928509 55971853 74137791 81741667 103947727 114889593 139885591 151805953 167785527 167915559 245225001 311843181 419656773 455417859 727634089 979199137 1062641671 1818512683 2182902267 2657826229 2937597411 3187925013 5455538049 6015080413 7973478687 12729588781 18045241239 18604783603 34551740977 38188766343 42105562891 55814350809 78196045369 103655222931 114286527847 126316688673 234588136107 241862186839 342859583541 547372317583 725586560517 800005694929 1485724862011 1642116952749 2400017084787 4457174586033 10400074034077 31200222102231