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212111021101020 = 223523617249114487
BaseRepresentation
bin110000001110100111110010…
…000100001100111111011100
31000211000121121202111110000020
4300032213302010030333130
5210300211332400213040
62031042242523032140
762451341560164426
oct6016476204147734
91024017552443006
10212111021101020
11616488627635a8
121b95865396b650
139147ca2893142
143a5432a267816
15197c763a55cd0
hexc0e9f210cfdc

212111021101020 has 96 divisors (see below), whose sum is σ = 620737502450688. Its totient is φ = 54015992228352.

The previous prime is 212111021101003. The next prime is 212111021101033. The reversal of 212111021101020 is 20101120111212.

It is a happy number.

212111021101020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 123705784 + ... + 125408703.

It is an arithmetic number, because the mean of its divisors is an integer number (6466015650528).

Almost surely, 2212111021101020 is an apocalyptic number.

212111021101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212111021101020 is an abundant number, since it is smaller than the sum of its proper divisors (408626481349668).

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

212111021101020 is a wasteful number, since it uses less digits than its factorization.

212111021101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249115139 (or 249115137 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212111021101020 its reverse (20101120111212), we get a palindrome (232212141212232).

The spelling of 212111021101020 in words is "two hundred twelve trillion, one hundred eleven billion, twenty-one million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 617 690 1234 1380 1851 2468 3085 3702 6170 7404 9255 12340 14191 18510 28382 37020 42573 56764 70955 85146 141910 170292 212865 283820 425730 851460 249114487 498228974 747343461 996457948 1245572435 1494686922 2491144870 2989373844 3736717305 4982289740 5729633201 7473434610 11459266402 14946869220 17188899603 22918532804 28648166005 34377799206 57296332010 68755598412 85944498015 114592664020 153703638479 171888996030 307407276958 343777992060 461110915437 614814553916 768518192395 922221830874 1537036384790 1844443661748 2305554577185 3074072769580 3535183685017 4611109154370 7070367370034 9222218308740 10605551055051 14140734740068 17675918425085 21211102110102 35351836850170 42422204220204 53027755275255 70703673700340 106055510550510 212111021101020