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113222112322000 = 2453116184368191
BaseRepresentation
bin11001101111100110010011…
…110010010010000111010000
3112211212221001200100002100111
4121233212103302102013100
5104320012341223301000
61040445304221131104
732564012330412013
oct3157462362220720
9484787050302314
10113222112322000
1133092256790950
12108472543b9a94
134b23a5130b716
141dd5d9d97737a
15d152787e4cba
hex66f993c921d0

113222112322000 has 160 divisors (see below), whose sum is σ = 303555404924928. Its totient is φ = 40496731200000.

The previous prime is 113222112321973. The next prime is 113222112322009. The reversal of 113222112322000 is 223211222311.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113222112322009) 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, 40842096 + ... + 43526095.

Almost surely, 2113222112322000 is an apocalyptic number.

113222112322000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113222112322000 is an abundant number, since it is smaller than the sum of its proper divisors (190333292602928).

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

113222112322000 is a wasteful number, since it uses less digits than its factorization.

113222112322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84368286 (or 84368270 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 113222112322000 its reverse (223211222311), we get a palindrome (113445323544311).

The spelling of 113222112322000 in words is "one hundred thirteen trillion, two hundred twenty-two billion, one hundred twelve million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 61 80 88 100 110 122 125 176 200 220 244 250 275 305 400 440 488 500 550 610 671 880 976 1000 1100 1220 1342 1375 1525 2000 2200 2440 2684 2750 3050 3355 4400 4880 5368 5500 6100 6710 7625 10736 11000 12200 13420 15250 16775 22000 24400 26840 30500 33550 53680 61000 67100 83875 122000 134200 167750 268400 335500 671000 1342000 84368191 168736382 337472764 421840955 674945528 843681910 928050101 1349891056 1687363820 1856100202 2109204775 3374727640 3712200404 4218409550 4640250505 5146459651 6749455280 7424400808 8436819100 9280501010 10292919302 10546023875 14848801616 16873638200 18561002020 20585838604 21092047750 23201252525 25732298255 33747276400 37122004040 41171677208 42184095500 46402505050 51464596510 56611056161 74244008080 82343354416 84368191000 92805010100 102929193020 113222112322 116006262625 128661491275 168736382000 185610020200 205858386040 226444224644 232012525250 257322982550 283055280805 371220040400 411716772080 452888449288 464025050500 514645965100 566110561610 643307456375 905776898576 928050101000 1029291930200 1132221123220 1286614912750 1415276404025 1856100202000 2058583860400 2264442246440 2573229825500 2830552808050 4528884492880 5146459651000 5661105616100 7076382020125 10292919302000 11322211232200 14152764040250 22644422464400 28305528080500 56611056161000 113222112322000