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220022000331100 = 2252112128983140977
BaseRepresentation
bin110010000001101111011101…
…001011000010100101011100
31001212000220020111121011212221
4302001233131023002211130
5212314320024041043400
62055540413411035124
764226031164144422
oct6201573513024534
91055026214534787
10220022000331100
1164118896252800
12208158a289baa4
13959cca74ac4c6
143c4919baab112
151a684255bbc1a
hexc81bdd2c295c

220022000331100 has 108 divisors (see below), whose sum is σ = 524805721225072. Its totient is φ = 80006812300800.

The previous prime is 220022000331079. The next prime is 220022000331103. The reversal of 220022000331100 is 1133000220022.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220022000331103) 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 35 ways as a sum of consecutive naturals, for example, 1560623812 + ... + 1560764788.

Almost surely, 2220022000331100 is an apocalyptic number.

220022000331100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220022000331100 is an abundant number, since it is smaller than the sum of its proper divisors (304783720893972).

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

220022000331100 is a wasteful number, since it uses less digits than its factorization.

220022000331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269996 (or 269978 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 220022000331100 its reverse (1133000220022), we get a palindrome (221155000551122).

The spelling of 220022000331100 in words is "two hundred twenty trillion, twenty-two billion, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 128983 140977 257966 281954 515932 563908 644915 704885 1289830 1409770 1418813 1550747 2579660 2819540 2837626 3101494 3224575 3524425 5675252 6202988 6449150 7048850 7094065 7753735 12898300 14097700 14188130 15507470 15606943 17058217 28376260 31014940 31213886 34116434 35470325 38768675 62427772 68232868 70940650 77537350 78034715 85291085 141881300 155074700 156069430 170582170 312138860 341164340 390173575 426455425 780347150 852910850 1560694300 1705821700 18183636391 36367272782 72734545564 90918181955 181836363910 200020000301 363672727820 400040000602 454590909775 800080001204 909181819550 1000100001505 1818363639100 2000200003010 2200220003311 4000400006020 4400440006622 5000500007525 8800880013244 10001000015050 11001100016555 20002000030100 22002200033110 44004400066220 55005500082775 110011000165550 220022000331100