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212000112101020 = 225431312179863593
BaseRepresentation
bin110000001101000000011111…
…010111111100011010011100
31000210122000100022122111001111
4300031000133113330122130
5210241402212144213040
62030515301302151404
762440334260222255
oct6015003727743234
91023560308574044
10212000112101020
11616058194a4321
121b93b060722564
13913a6a8c6b219
143a4cc08463b2c
151979921c54dea
hexc0d01f5fc69c

212000112101020 has 96 divisors (see below), whose sum is σ = 459242431845120. Its totient is φ = 82157859463680.

The previous prime is 212000112100991. The next prime is 212000112101039. The reversal of 212000112101020 is 20101211000212.

212000112101020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245054344 + ... + 245917936.

It is an arithmetic number, because the mean of its divisors is an integer number (4783775331720).

Almost surely, 2212000112101020 is an apocalyptic number.

212000112101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212000112101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229621215922560).

212000112101020 is an abundant number, since it is smaller than the sum of its proper divisors (247242319744100).

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

212000112101020 is a wasteful number, since it uses less digits than its factorization.

212000112101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865955 (or 865953 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212000112101020 its reverse (20101211000212), we get a palindrome (232101323101232).

The spelling of 212000112101020 in words is "two hundred twelve trillion, one hundred twelve million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 131 172 215 262 430 524 655 860 1310 2179 2620 4358 5633 8716 10895 11266 21790 22532 28165 43580 56330 93697 112660 187394 285449 374788 468485 570898 863593 936970 1141796 1427245 1727186 1873940 2854490 3454372 4317965 5708980 8635930 12274307 17271860 24548614 37134499 49097228 61371535 74268998 113130683 122743070 148537996 185672495 226261366 245486140 371344990 452522732 565653415 742689980 1131306830 1881769147 2262613660 3763538294 4864619369 7527076588 9408845735 9729238738 18817691470 19458477476 24323096845 37635382940 48646193690 80916073321 97292387380 161832146642 246511758257 323664293284 404580366605 493023516514 809160733210 986047033028 1232558791285 1618321466420 2465117582570 4930235165140 10600005605051 21200011210102 42400022420204 53000028025255 106000056050510 212000112101020