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212113032111200 = 25521134769463267
BaseRepresentation
bin110000001110101001101001…
…111011100110010001100000
31000211000210210220120100100202
4300032221221323212101200
5210300224442210024300
62031043214242004332
762451442446404033
oct6016515173462140
91024023726510322
10212113032111200
11616496a4940290
121b958b153466a8
1391482333c3aac
143a5447b38b01a
15197c830390ad5
hexc0ea69ee6460

212113032111200 has 144 divisors (see below), whose sum is σ = 566523519799104. Its totient is φ = 76909728115200.

The previous prime is 212113032111191. The next prime is 212113032111203. The reversal of 212113032111200 is 2111230311212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212113032111203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31678034 + ... + 37785233.

It is an arithmetic number, because the mean of its divisors is an integer number (3934191109716).

Almost surely, 2212113032111200 is an apocalyptic number.

212113032111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212113032111200 is an abundant number, since it is smaller than the sum of its proper divisors (354410487687904).

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

212113032111200 is a wasteful number, since it uses less digits than its factorization.

212113032111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69463645 (or 69463632 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 212113032111200 its reverse (2111230311212), we get a palindrome (214224262422412).

The spelling of 212113032111200 in words is "two hundred twelve trillion, one hundred thirteen billion, thirty-two million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 347 352 400 440 550 694 800 880 1100 1388 1735 1760 2200 2776 3470 3817 4400 5552 6940 7634 8675 8800 11104 13880 15268 17350 19085 27760 30536 34700 38170 55520 61072 69400 76340 95425 122144 138800 152680 190850 277600 305360 381700 610720 763400 1526800 3053600 69463267 138926534 277853068 347316335 555706136 694632670 764095937 1111412272 1389265340 1528191874 1736581675 2222824544 2778530680 3056383748 3473163350 3820479685 5557061360 6112767496 6946326700 7640959370 11114122720 12225534992 13892653400 15281918740 19102398425 24103753649 24451069984 27785306800 30563837480 38204796850 48207507298 55570613600 61127674960 76409593700 96415014596 120518768245 122255349920 152819187400 192830029192 241037536490 265141290139 305638374800 385660058384 482075072980 530282580278 602593841225 611276749600 771320116768 964150145960 1060565160556 1205187682450 1325706450695 1928300291920 2121130321112 2410375364900 2651412901390 3856600583840 4242260642224 4820750729800 5302825802780 6628532253475 8484521284448 9641501459600 10605651605560 13257064506950 19283002919200 21211303211120 26514129013900 42422606422240 53028258027800 106056516055600 212113032111200