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22101201002201 = 19283113139151311
BaseRepresentation
bin1010000011001110101100…
…01111000001111011011001
32220020212001200211221011112
411001213112033001323121
510344101224424032301
6115001052423510105
74440521235606416
oct501472617017331
986225050757145
1022101201002201
117051080874722
12258b43b5b8335
13c44199110219
145659bd47d10d
15284d827359bb
hex1419d63c1ed9

22101201002201 has 96 divisors (see below), whose sum is σ = 24223412828160. Its totient is φ = 20155334976000.

The previous prime is 22101201002197. The next prime is 22101201002219. The reversal of 22101201002201 is 10220010210122.

It is not a de Polignac number, because 22101201002201 - 22 = 22101201002197 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22101201002501) 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 95 ways as a sum of consecutive naturals, for example, 71064954836 + ... + 71064955146.

It is an arithmetic number, because the mean of its divisors is an integer number (252327216960).

Almost surely, 222101201002201 is an apocalyptic number.

It is an amenable number.

22101201002201 is a deficient number, since it is larger than the sum of its proper divisors (2122211825959).

22101201002201 is a wasteful number, since it uses less digits than its factorization.

22101201002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22101201002201 its reverse (10220010210122), we get a palindrome (32321211212323).

The spelling of 22101201002201 in words is "twenty-two trillion, one hundred one billion, two hundred one million, two thousand, two hundred one".

Divisors: 1 19 83 113 139 151 311 361 1577 2147 2641 2869 5909 9379 11537 12533 15707 17063 20989 25813 29963 35143 40793 43229 46961 50179 54511 112271 178201 219203 238127 298433 324197 398791 490447 667717 821351 892259 1303681 1416229 1742087 2371757 2916869 3385819 3588007 3897763 4164857 4524413 4884877 5306593 5670227 6159743 6527579 7577029 9318493 12686623 15605669 16952921 24769939 26908351 33099653 45063383 55420511 68172133 74057497 92812663 100825267 124024001 196855831 405444791 440447219 470628841 511258669 541789057 628893407 737616427 856204277 1052989709 1295270527 1407092443 1763440597 1915680073 2356456019 3740260789 7703451029 8368497161 10293992083 14014712113 61222163441 71064954991 146365569551 159001446059 195585849577 266279530147 1163221105379 22101201002201