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22121101230240 = 2535348191323577
BaseRepresentation
bin1010000011110011110000…
…11000011000000010100000
32220022202102120122021000110
411001321320120120002200
510344413003403331430
6115014143230451320
74442124340011105
oct501717030300240
986282376567013
1022121101230240
117059562a48581
122593274063b40
13c4601ac2409c
1456694a3d2aac
152856498447b0
hex141e786180a0

22121101230240 has 96 divisors (see below), whose sum is σ = 69683522771520. Its totient is φ = 5898786453504.

The previous prime is 22121101230187. The next prime is 22121101230247. The reversal of 22121101230240 is 4203210112122.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (22121101230247) 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, 16051332 + ... + 17374908.

It is an arithmetic number, because the mean of its divisors is an integer number (725870028870).

Almost surely, 222121101230240 is an apocalyptic number.

22121101230240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121101230240 is an abundant number, since it is smaller than the sum of its proper divisors (47562421541280).

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

22121101230240 is a wasteful number, since it uses less digits than its factorization.

22121101230240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358414 (or 1358406 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 22121101230240 its reverse (4203210112122), we get a palindrome (26324311342362).

The spelling of 22121101230240 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred one million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 34819 69638 104457 139276 174095 208914 278552 348190 417828 522285 557104 696380 835656 1044570 1114208 1323577 1392760 1671312 2089140 2647154 2785520 3342624 3970731 4178280 5294308 5571040 6617885 7941462 8356560 10588616 13235770 15882924 16713120 19853655 21177232 26471540 31765848 39707310 42354464 52943080 63531696 79414620 105886160 127063392 158829240 211772320 317658480 635316960 46085627563 92171255126 138256882689 184342510252 230428137815 276513765378 368685020504 460856275630 553027530756 691284413445 737370041008 921712551260 1106055061512 1382568826890 1474740082016 1843425102520 2212110123024 2765137653780 3686850205040 4424220246048 5530275307560 7373700410080 11060550615120 22121101230240