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220021120111100 = 225271128574171443
BaseRepresentation
bin110010000001101110101000…
…101101010001000111111100
31001212000210222011022101001012
4302001232220231101013330
5212314311223222023400
62055540150204534352
764226000315330360
oct6201565055210774
91055023864271035
10220021120111100
1164118484400460
1220815697b513b8
13959cb97020079
143c49116c1d2a0
151a683c319ad35
hexc81ba8b511fc

220021120111100 has 72 divisors (see below), whose sum is σ = 595257139521408. Its totient is φ = 68578011460800.

The previous prime is 220021120111081. The next prime is 220021120111103. The reversal of 220021120111100 is 1111021120022.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220021120111103) 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 23 ways as a sum of consecutive naturals, for example, 14287078022 + ... + 14287093421.

Almost surely, 2220021120111100 is an apocalyptic number.

220021120111100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220021120111100 is an abundant number, since it is smaller than the sum of its proper divisors (375236019410308).

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

220021120111100 is a wasteful number, since it uses less digits than its factorization.

220021120111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28574171475 (or 28574171468 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 220021120111100 its reverse (1111021120022), we get a palindrome (221132141231122).

The spelling of 220021120111100 in words is "two hundred twenty trillion, twenty-one billion, one hundred twenty million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 28574171443 57148342886 114296685772 142870857215 200019200101 285741714430 314315885873 400038400202 571483428860 628631771746 714354286075 800076800404 1000096000505 1257263543492 1428708572150 1571579429365 2000192001010 2200211201111 2857417144300 3143158858730 4000384002020 4400422402222 5000480002525 6286317717460 7857897146825 8800844804444 10000960005050 11001056005555 15715794293650 20001920010100 22002112011110 31431588587300 44004224022220 55005280027775 110010560055550 220021120111100