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222220121002101 = 321737831117142337
BaseRepresentation
bin110010100001101110100111…
…010111111101000001110101
31002010211000222022102220121200
4302201232213113331001311
5213111323301434031401
62104342303025403113
764543605520442265
oct6241564727750165
91063730868386550
10222220121002101
116489602a048022
1220b0b8b8a99499
1396cc3628b8b41
143cc3722bd57a5
151aa56c6a45686
hexca1ba75fd075

222220121002101 has 96 divisors (see below), whose sum is σ = 353297045582208. Its totient is φ = 134014127063040.

The previous prime is 222220121002097. The next prime is 222220121002109. The reversal of 222220121002101 is 101200121022222.

It is a happy number.

222220121002101 is a `hidden beast` number, since 2 + 22 + 220 + 1 + 210 + 0 + 210 + 1 = 666.

It is not a de Polignac number, because 222220121002101 - 22 = 222220121002097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222220121002109) 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, 5248818405 + ... + 5248860741.

It is an arithmetic number, because the mean of its divisors is an integer number (3680177558148).

Almost surely, 2222220121002101 is an apocalyptic number.

It is an amenable number.

222220121002101 is a deficient number, since it is larger than the sum of its proper divisors (131076924580107).

222220121002101 is a wasteful number, since it uses less digits than its factorization.

222220121002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53651 (or 53648 counting only the distinct ones).

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

Adding to 222220121002101 its reverse (101200121022222), we get a palindrome (323420242024323).

The spelling of 222220121002101 in words is "two hundred twenty-two trillion, two hundred twenty billion, one hundred twenty-one million, two thousand, one hundred one".

Divisors: 1 3 9 17 37 51 83 111 153 249 333 629 747 1411 1887 3071 4233 5661 9213 11171 12699 27639 33513 42337 52207 100539 127011 156621 189907 381033 413327 469863 569721 719729 927193 1239981 1566469 1709163 2159187 2781579 3513971 3719943 4699407 6477561 7026559 8344737 10541913 14098221 15762281 21079677 26629973 31625739 34306141 47286843 59737507 63239031 79889919 102918423 130016927 141860529 179212521 239669757 308755269 390050781 472946627 537637563 583204397 1170152343 1418839881 1749613191 2210287759 4256519643 5248839573 6630863277 8040092659 17499025199 19892589831 24120277977 39254570041 52497075597 72360833931 117763710123 157491226791 297483428383 353291130369 667327690697 892450285149 1452419091517 2001983072091 2677350855447 4357257274551 6005949216273 13071771823653 24691124555789 74073373667367 222220121002101