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220012212110000 = 2454171294189483
BaseRepresentation
bin110010000001100110010101…
…101111111100001010110000
31001211222221222100100000210112
4302001212111233330022300
5212314140002300010000
62055532114231320452
764225233500505602
oct6201462557741260
91054887870300715
10220012212110000
1164114723036382
1220813a10820128
13959c0a76417bb
143c4890db15172
151a680510e3235
hexc81995bfc2b0

220012212110000 has 100 divisors (see below), whose sum is σ = 564005188748232. Its totient is φ = 82828126848000.

The previous prime is 220012212109993. The next prime is 220012212110003. The reversal of 220012212110000 is 11212210022.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×2200122121100003 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (220012212110003) 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 19 ways as a sum of consecutive naturals, for example, 646924742 + ... + 647264741.

Almost surely, 2220012212110000 is an apocalyptic number.

220012212110000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220012212110000 is an abundant number, since it is smaller than the sum of its proper divisors (343992976638232).

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

220012212110000 is a wasteful number, since it uses less digits than its factorization.

220012212110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294189528 (or 1294189507 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220012212110000 its reverse (11212210022), we get a palindrome (220023424320022).

The spelling of 220012212110000 in words is "two hundred twenty trillion, twelve billion, two hundred twelve million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 625 680 850 1000 1250 1360 1700 2000 2125 2500 3400 4250 5000 6800 8500 10000 10625 17000 21250 34000 42500 85000 170000 1294189483 2588378966 5176757932 6470947415 10353515864 12941894830 20707031728 22001221211 25883789660 32354737075 44002442422 51767579320 64709474150 88004884844 103535158640 110006106055 129418948300 161773685375 176009769688 220012212110 258837896600 323547370750 352019539376 440024424220 517675793200 550030530275 647094741500 808868426875 880048848440 1100061060550 1294189483000 1617736853750 1760097696880 2200122121100 2588378966000 2750152651375 3235473707500 4400244242200 5500305302750 6470947415000 8800488484400 11000610605500 12941894830000 13750763256875 22001221211000 27501526513750 44002442422000 55003053027500 110006106055000 220012212110000