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212112223000100 = 225210752138049083
BaseRepresentation
bin110000001110101000111001…
…101101000101011000100100
31000211000201201112002020120222
4300032220321231011120210
5210300221313042000400
62031043002055543512
762451413423152403
oct6016507155053044
91024021645066528
10212112223000100
116164931a147125
121b95892a38ab98
1391481348a0b27
143a54401b2d63a
15197c7d4319185
hexc0ea39b45624

212112223000100 has 72 divisors (see below), whose sum is σ = 465476969629728. Its totient is φ = 83890615993600.

The previous prime is 212112223000099. The next prime is 212112223000133. The reversal of 212112223000100 is 1000322211212.

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, 13449842 + ... + 24599241.

It is an arithmetic number, because the mean of its divisors is an integer number (6464957911524).

Almost surely, 2212112223000100 is an apocalyptic number.

212112223000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112223000100 is an abundant number, since it is smaller than the sum of its proper divisors (253364746629628).

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

212112223000100 is a wasteful number, since it uses less digits than its factorization.

212112223000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38049725 (or 38049718 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 212112223000100 its reverse (1000322211212), we get a palindrome (213112545211312).

The spelling of 212112223000100 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred twenty-three million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 107 214 428 521 535 1042 1070 2084 2140 2605 2675 5210 5350 10420 10700 13025 26050 52100 55747 111494 222988 278735 557470 1114940 1393675 2787350 5574700 38049083 76098166 152196332 190245415 380490830 760981660 951227075 1902454150 3804908300 4071251881 8142503762 16285007524 19823572243 20356259405 39647144486 40712518810 79294288972 81425037620 99117861215 101781297025 198235722430 203562594050 396471444860 407125188100 495589306075 991178612150 1982357224300 2121122230001 4242244460002 8484488920004 10605611150005 21211222300010 42422444600020 53028055750025 106056111500050 212112223000100