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220120112200200 = 233521378126621207
BaseRepresentation
bin110010000011001010110101…
…000110000111101000001000
31001212101021111002101112110120
4302003022311012013220020
5212322421442210401300
62100053441124543240
764236103403236212
oct6203126506075010
91055337432345416
10220120112200200
11641564628aa143
1220830904251b20
1395a9311a82914
143c4dc280735b2
151a6ac68b903a0
hexc832b5187a08

220120112200200 has 96 divisors (see below), whose sum is σ = 682421888900160. Its totient is φ = 58694434988800.

The previous prime is 220120112200103. The next prime is 220120112200259. The reversal of 220120112200200 is 2002211021022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 220120112200200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5042004 + ... + 21579203.

It is an arithmetic number, because the mean of its divisors is an integer number (7108561342710).

Almost surely, 2220120112200200 is an apocalyptic number.

220120112200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220120112200200 is an abundant number, since it is smaller than the sum of its proper divisors (462301776699960).

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

220120112200200 is a wasteful number, since it uses less digits than its factorization.

220120112200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26635007 (or 26634998 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 220120112200200 its reverse (2002211021022), we get a palindrome (222122323221222).

The spelling of 220120112200200 in words is "two hundred twenty trillion, one hundred twenty billion, one hundred twelve million, two hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 13781 27562 41343 55124 68905 82686 110248 137810 165372 206715 275620 330744 344525 413430 551240 689050 826860 1033575 1378100 1653720 2067150 2756200 4134300 8268600 26621207 53242414 79863621 106484828 133106035 159727242 212969656 266212070 319454484 399318105 532424140 638908968 665530175 798636210 1064848280 1331060350 1597272420 1996590525 2662120700 3194544840 3993181050 5324241400 7986362100 15972724200 366866853667 733733707334 1100600561001 1467467414668 1834334268335 2201201122002 2934934829336 3668668536670 4402402244004 5503002805005 7337337073340 8804804488008 9171671341675 11006005610010 14674674146680 18343342683350 22012011220020 27515014025025 36686685366700 44024022440040 55030028050050 73373370733400 110060056100100 220120112200200