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220021110020100 = 223522650127674567
BaseRepresentation
bin110010000001101110101000…
…000110110001100000000100
31001212000210221110022200210110
4302001232220012301200010
5212314311213131120400
62055540145204353020
764226000133501504
oct6201565006614004
91055023843280713
10220021110020100
1164118479738994
12208156946a5770
13959cb94bc8c6c
143c49115753a04
151a683c2355e50
hexc81ba81b1804

220021110020100 has 72 divisors (see below), whose sum is σ = 636618456186048. Its totient is φ = 58670079920000.

The previous prime is 220021110020069. The next prime is 220021110020111. The reversal of 220021110020100 is 1020011120022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5886984 + ... + 21787583.

It is an arithmetic number, because the mean of its divisors is an integer number (8841923002584).

Almost surely, 2220021110020100 is an apocalyptic number.

220021110020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220021110020100 is an abundant number, since it is smaller than the sum of its proper divisors (416597346165948).

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

220021110020100 is a wasteful number, since it uses less digits than its factorization.

220021110020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27701085 (or 27701078 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 220021110020100 its reverse (1020011120022), we get a palindrome (221041121140122).

The spelling of 220021110020100 in words is "two hundred twenty trillion, twenty-one billion, one hundred ten million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 26501 53002 79503 106004 132505 159006 265010 318012 397515 530020 662525 795030 1325050 1590060 1987575 2650100 3975150 7950300 27674567 55349134 83023701 110698268 138372835 166047402 276745670 332094804 415118505 553491340 691864175 830237010 1383728350 1660474020 2075592525 2767456700 4151185050 8302370100 733403700067 1466807400134 2200211100201 2933614800268 3667018500335 4400422200402 7334037000670 8800844400804 11001055501005 14668074001340 18335092501675 22002111002010 36670185003350 44004222004020 55005277505025 73340370006700 110010555010050 220021110020100