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202111000020 = 223253730346997
BaseRepresentation
bin1011110000111011000…
…0010001110111010100
3201022200110111121010100
42330032300101313110
511302410404000040
6232503140054100
720413333104006
oct2741660216724
9638613447110
10202111000020
1178795432816
1233206694330
131609c78bb07
149ad45d2376
1553cd960b30
hex2f0ec11dd4

202111000020 has 72 divisors (see below), whose sum is σ = 629639514504. Its totient is φ = 52439609088.

The previous prime is 202110999997. The next prime is 202111000051. The reversal of 202111000020 is 20000111202.

202111000020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 77901275664 + 124209724356 = 279108^2 + 352434^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 202110999966 and 202111000011.

It is a congruent number.

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, 15166839 + ... + 15180158.

It is an arithmetic number, because the mean of its divisors is an integer number (8744993257).

Almost surely, 2202111000020 is an apocalyptic number.

202111000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202111000020 is an abundant number, since it is smaller than the sum of its proper divisors (427528514484).

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

202111000020 is a wasteful number, since it uses less digits than its factorization.

202111000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30347049 (or 30347044 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 202111000020 its reverse (20000111202), we get a palindrome (222111111222).

The spelling of 202111000020 in words is "two hundred two billion, one hundred eleven million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 30346997 60693994 91040991 121387988 151734985 182081982 273122973 303469970 364163964 455204955 546245946 606939940 910409910 1092491892 1122838889 1365614865 1820819820 2245677778 2731229730 3368516667 4491355556 5462459460 5614194445 6737033334 10105550001 11228388890 13474066668 16842583335 20211100002 22456777780 33685166670 40422200004 50527750005 67370333340 101055500010 202111000020