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21220122102240 = 2535431028106691
BaseRepresentation
bin1001101001100101100011…
…10101110000100111100000
32210010121211210110022200010
410310302301311300213200
510240132302224232430
6113044220045124520
74320050256540015
oct464626165604740
983117753408603
1021220122102240
1168414487a0396
122468727b59740
13bac0836580c9
145350b8d7370c
1526beb63aacb0
hex134cb1d709e0

21220122102240 has 96 divisors (see below), whose sum is σ = 68397882005376. Its totient is φ = 5527101565440.

The previous prime is 21220122102229. The next prime is 21220122102241. The reversal of 21220122102240 is 4220122102212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220122102241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514032706 + ... + 514073985.

It is an arithmetic number, because the mean of its divisors is an integer number (712477937556).

Almost surely, 221220122102240 is an apocalyptic number.

21220122102240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21220122102240 is an abundant number, since it is smaller than the sum of its proper divisors (47177759903136).

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

21220122102240 is a wasteful number, since it uses less digits than its factorization.

21220122102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028106752 (or 1028106744 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 21220122102240 its reverse (4220122102212), we get a palindrome (25440244204452).

The spelling of 21220122102240 in words is "twenty-one trillion, two hundred twenty billion, one hundred twenty-two million, one hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 344 430 480 516 645 688 860 1032 1290 1376 1720 2064 2580 3440 4128 5160 6880 10320 20640 1028106691 2056213382 3084320073 4112426764 5140533455 6168640146 8224853528 10281066910 12337280292 15421600365 16449707056 20562133820 24674560584 30843200730 32899414112 41124267640 44208587713 49349121168 61686401460 82248535280 88417175426 98698242336 123372802920 132625763139 164497070560 176834350852 221042938565 246745605840 265251526278 353668701704 442085877130 493491211680 530503052556 663128815695 707337403408 884171754260 1061006105112 1326257631390 1414674806816 1768343508520 2122012210224 2652515262780 3536687017040 4244024420448 5305030525560 7073374034080 10610061051120 21220122102240