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112120202221000 = 23531727723809769
BaseRepresentation
bin11001011111100100000100…
…110100110101010111001000
3112200222120211200002010122021
4121133210010310311113020
5104143434133232033000
61034243150531334224
732421263063164621
oct3137440464652710
9480876750063567
10112120202221000
11327a7a02205796
12106a9790a51374
134a73b748a408c
141d9890a936a48
15ce67852dd11a
hex65f904d355c8

112120202221000 has 128 divisors (see below), whose sum is σ = 278797168447200. Its totient is φ = 42057574195200.

The previous prime is 112120202220869. The next prime is 112120202221009. The reversal of 112120202221000 is 122202021211.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 549190673476 + 111571011547524 = 741074^2 + 10562718^2 .

It is not an unprimeable number, because it can be changed into a prime (112120202221009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7195885 + ... + 16613884.

Almost surely, 2112120202221000 is an apocalyptic number.

112120202221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112120202221000 is an abundant number, since it is smaller than the sum of its proper divisors (166676966226200).

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

112120202221000 is a wasteful number, since it uses less digits than its factorization.

112120202221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23810084 (or 23810070 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 112120202221000 its reverse (122202021211), we get a palindrome (112242404242211).

The spelling of 112120202221000 in words is "one hundred twelve trillion, one hundred twenty billion, two hundred two million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 277 340 425 500 554 680 850 1000 1108 1385 1700 2125 2216 2770 3400 4250 4709 5540 6925 8500 9418 11080 13850 17000 18836 23545 27700 34625 37672 47090 55400 69250 94180 117725 138500 188360 235450 277000 470900 588625 941800 1177250 2354500 4709000 23809769 47619538 95239076 119048845 190478152 238097690 404766073 476195380 595244225 809532146 952390760 1190488450 1619064292 2023830365 2380976900 2976221125 3238128584 4047660730 4761953800 5952442250 6595306013 8095321460 10119151825 11904884500 13190612026 16190642920 20238303650 23809769000 26381224052 32976530065 40476607300 50595759125 52762448104 65953060130 80953214600 101191518250 112120202221 131906120260 164882650325 202383036500 224240404442 263812240520 329765300650 404766073000 448480808884 560601011105 659530601300 824413251625 896961617768 1121202022210 1319061202600 1648826503250 2242404044420 2803005055525 3297653006500 4484808088840 5606010111050 6595306013000 11212020222100 14015025277625 22424040444200 28030050555250 56060101110500 112120202221000