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31322101000212 = 223211374152139891
BaseRepresentation
bin1110001111100101111101…
…01101000010100000010100
311002220100211001222100102200
413013302332231002200110
513101140130324001322
6150341101412004500
76411642601435551
oct707627655024024
9132810731870380
1031322101000212
119a866a04a3880
12361a524300730
13146287a28c4b9
147a3dd7c87a28
15394b5e12d8ac
hex1c7cbeb42814

31322101000212 has 144 divisors (see below), whose sum is σ = 90871072254144. Its totient is φ = 9009772992000.

The previous prime is 31322101000129. The next prime is 31322101000219. The reversal of 31322101000212 is 21200010122313.

31322101000212 is a `hidden beast` number, since 31 + 322 + 1 + 0 + 100 + 0 + 212 = 666.

It is a super-2 number, since 2×313221010002122 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31322101000219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25469214 + ... + 26670677.

It is an arithmetic number, because the mean of its divisors is an integer number (631049112876).

Almost surely, 231322101000212 is an apocalyptic number.

It is an amenable number.

31322101000212 is an abundant number, since it is smaller than the sum of its proper divisors (59548971253932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31322101000212 is a wasteful number, since it uses less digits than its factorization.

31322101000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52139990 (or 52139985 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31322101000212 its reverse (21200010122313), we get a palindrome (52522111122525).

The spelling of 31322101000212 in words is "thirty-one trillion, three hundred twenty-two billion, one hundred one million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 41 44 66 74 82 99 111 123 132 148 164 198 222 246 333 369 396 407 444 451 492 666 738 814 902 1221 1332 1353 1476 1517 1628 1804 2442 2706 3034 3663 4059 4551 4884 5412 6068 7326 8118 9102 13653 14652 16236 16687 18204 27306 33374 50061 54612 66748 100122 150183 200244 300366 600732 52139891 104279782 156419673 208559564 312839346 469259019 573538801 625678692 938518038 1147077602 1720616403 1877036076 1929175967 2137735531 2294155204 3441232806 3858351934 4275471062 5161849209 5787527901 6413206593 6882465612 7716703868 8550942124 10323698418 11575055802 12826413186 17362583703 19239619779 20647396836 21220935637 23150111604 23515090841 25652826372 34725167406 38479239558 42441871274 47030181682 63662806911 69450334812 70545272523 76958479116 79096214647 84883742548 94060363364 127325613822 141090545046 158192429294 190988420733 211635817569 237288643941 254651227644 282181090092 316384858588 381976841466 423271635138 474577287882 711865931823 763953682932 846543270276 870058361117 949154575764 1423731863646 1740116722234 2610175083351 2847463727292 3480233444468 5220350166702 7830525250053 10440700333404 15661050500106 31322101000212