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20212120200 = 23352191772993
BaseRepresentation
bin10010110100101111…
…000111101010001000
31221011121200002110110
4102310233013222020
5312343300321300
613141343514320
71313606121066
oct226457075210
957147602413
1020212120200
118632240078
123b00bb89a0
131ba161684c
14d9a541036
157d46bb550
hex4b4bc7a88

20212120200 has 96 divisors (see below), whose sum is σ = 65955376800. Its totient is φ = 5106216960.

The previous prime is 20212120193. The next prime is 20212120223. The reversal of 20212120200 is 202121202.

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, 875097 + ... + 897896.

It is an arithmetic number, because the mean of its divisors is an integer number (687035175).

Almost surely, 220212120200 is an apocalyptic number.

20212120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20212120200 is an abundant number, since it is smaller than the sum of its proper divisors (45743256600).

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

20212120200 is a wasteful number, since it uses less digits than its factorization.

20212120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773031 (or 1773022 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20212120200 its reverse (202121202), we get a palindrome (20414241402).

20212120200 divided by its reverse (202121202) gives a square (100 = 102).

The spelling of 20212120200 in words is "twenty billion, two hundred twelve million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 1772993 3545986 5318979 7091972 8864965 10637958 14183944 17729930 21275916 26594895 33686867 35459860 42551832 44324825 53189790 67373734 70919720 88649650 101060601 106379580 132974475 134747468 168434335 177299300 202121202 212759160 265948950 269494936 336868670 354598600 404242404 505303005 531897900 673737340 808484808 842171675 1010606010 1063795800 1347474680 1684343350 2021212020 2526515025 3368686700 4042424040 5053030050 6737373400 10106060100 20212120200