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22100212002100 = 22522367271142837
BaseRepresentation
bin1010000011001100110110…
…10010010010110100110100
32220020202111202212112002011
411001212123102102310310
510344042213233031400
6115000410334054004
74440454566341251
oct501463322226464
986222452775064
1022100212002100
117050713584271
12258b20434a304
13c4406c254a6b
14565927d96428
15284d259c88ba
hex14199b492d34

22100212002100 has 72 divisors (see below), whose sum is σ = 50043661250688. Its totient is φ = 8455548393600.

The previous prime is 22100212002097. The next prime is 22100212002163. The reversal of 22100212002100 is 120021200122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154651882 + ... + 154794718.

It is an arithmetic number, because the mean of its divisors is an integer number (695050850704).

Almost surely, 222100212002100 is an apocalyptic number.

22100212002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22100212002100 is an abundant number, since it is smaller than the sum of its proper divisors (27943449248588).

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

22100212002100 is a wasteful number, since it uses less digits than its factorization.

22100212002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210145 (or 210138 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22100212002100 its reverse (120021200122), we get a palindrome (22220233202222).

The spelling of 22100212002100 in words is "twenty-two trillion, one hundred billion, two hundred twelve million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 67271 134542 142837 269084 285674 336355 571348 672710 714185 1345420 1428370 1547233 1681775 2856740 3094466 3285251 3363550 3570925 6188932 6570502 6727100 7141850 7736165 13141004 14283700 15472330 16426255 30944660 32852510 38680825 65705020 77361650 82131275 154723300 164262550 328525100 9608787827 19217575654 38435151308 48043939135 96087878270 192175756540 221002120021 240219695675 442004240042 480439391350 884008480084 960878782700 1105010600105 2210021200210 4420042400420 5525053000525 11050106001050 22100212002100