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20101221102222 = 23213374015789759
BaseRepresentation
bin1001001001000001011100…
…01001001011001010001110
32122011122202122211021020200
410210200232021023022032
510113314300100232342
6110430212401354330
74143156666135111
oct444405611131216
978148678737220
1020101221102222
11644a975302327
1223079023389a6
13b2a6c9a95970
144d6c93542578
1524cd2b3c894c
hex12482e24b28e

20101221102222 has 96 divisors (see below), whose sum is σ = 48290628072960. Its totient is φ = 6002821094400.

The previous prime is 20101221102197. The next prime is 20101221102227. The reversal of 20101221102222 is 22220112210102.

It is a happy number.

20101221102222 is a `hidden beast` number, since 20 + 101 + 221 + 102 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20101221102195 and 20101221102204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101221102227) 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, 576979 + ... + 6366737.

It is an arithmetic number, because the mean of its divisors is an integer number (503027375760).

Almost surely, 220101221102222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20101221102222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24145314036480).

20101221102222 is an abundant number, since it is smaller than the sum of its proper divisors (28189406970738).

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

20101221102222 is a wasteful number, since it uses less digits than its factorization.

20101221102222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5790218 (or 5790215 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20101221102222 its reverse (22220112210102), we get a palindrome (42321333312324).

The spelling of 20101221102222 in words is "twenty trillion, one hundred one billion, two hundred twenty-one million, one hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 222 234 333 401 481 666 802 962 1203 1443 2406 2886 3609 4329 5213 7218 8658 10426 14837 15639 29674 31278 44511 46917 89022 93834 133533 192881 267066 385762 578643 1157286 1735929 3471858 5789759 11579518 17369277 34738554 52107831 75266867 104215662 150533734 214221083 225800601 428442166 451601202 642663249 677401803 1285326498 1354803606 1927989747 2321693359 2784874079 3855979494 4643386718 5569748158 6965080077 8354622237 13930160154 16709244474 20895240231 25063866711 30182013667 41790480462 50127733422 60364027334 85902654283 90546041001 171805308566 181092082002 257707962849 271638123003 515415925698 543276246006 773123888547 1116734505679 1546247777094 2233469011358 3350203517037 6700407034074 10050610551111 20101221102222