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212140114221020 = 22564377032141519
BaseRepresentation
bin110000001111000010111000…
…001001101001011111011100
31000211010101201022100001220012
4300033002320021221133130
5210301200423220033040
62031103453441342352
762453421535501316
oct6017027011513734
91024111638301805
10212140114221020
116165a131aa6227
121b9622130379b8
13914a95b0c314b
143a558ca0847b6
15197d3b7c44865
hexc0f0b82697dc

212140114221020 has 48 divisors (see below), whose sum is σ = 446245209123840. Its totient is φ = 84713038322496.

The previous prime is 212140114220999. The next prime is 212140114221043. The reversal of 212140114221020 is 20122411041212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97989821 + ... + 100131339.

It is an arithmetic number, because the mean of its divisors is an integer number (9296775190080).

Almost surely, 2212140114221020 is an apocalyptic number.

212140114221020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212140114221020 is an abundant number, since it is smaller than the sum of its proper divisors (234105094902820).

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

212140114221020 is a wasteful number, since it uses less digits than its factorization.

212140114221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149874 (or 2149872 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 212140114221020 its reverse (20122411041212), we get a palindrome (232262525262232).

The spelling of 212140114221020 in words is "two hundred twelve trillion, one hundred forty billion, one hundred fourteen million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 643 1286 2572 3215 6430 7703 12860 15406 30812 38515 77030 154060 2141519 4283038 4953029 8566076 9906058 10707595 19812116 21415190 24765145 42830380 49530290 99060580 1376996717 2753993434 5507986868 6884983585 13769967170 16496120857 27539934340 32992241714 65984483428 82480604285 164961208570 329922417140 10607005711051 21214011422102 42428022844204 53035028555255 106070057110510 212140114221020