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202111011020 = 225173181322727
BaseRepresentation
bin1011110000111011000…
…0010100100011001100
3201022200110112011012202
42330032300110203030
511302410404323040
6232503140221032
720413333151042
oct2741660244314
9638613464182
10202111011020
1178795440006
123320669a778
131609c793b19
149ad45d6392
1553cd964015
hex2f0ec148cc

202111011020 has 48 divisors (see below), whose sum is σ = 429246312768. Its totient is φ = 79932775680.

The previous prime is 202111011007. The next prime is 202111011029. The reversal of 202111011020 is 20110111202.

202111011020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2021110110202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202111010992 and 202111011010.

It is not an unprimeable number, because it can be changed into a prime (202111011029) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 464897 + ... + 787623.

It is an arithmetic number, because the mean of its divisors is an integer number (8942631516).

Almost surely, 2202111011020 is an apocalyptic number.

202111011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202111011020 is an abundant number, since it is smaller than the sum of its proper divisors (227135301748).

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

202111011020 is a wasteful number, since it uses less digits than its factorization.

202111011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323090 (or 323088 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 202111011020 its reverse (20110111202), we get a palindrome (222221122222).

The spelling of 202111011020 in words is "two hundred two billion, one hundred eleven million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 173 181 346 362 692 724 865 905 1730 1810 3460 3620 31313 62626 125252 156565 313130 322727 626260 645454 1290908 1613635 3227270 6454540 55831771 58413587 111663542 116827174 223327084 233654348 279158855 292067935 558317710 584135870 1116635420 1168271740 10105550551 20211101102 40422202204 50527752755 101055505510 202111011020