Search a number
-
+
202010112221220 = 223254326099497703
BaseRepresentation
bin101101111011101000100100…
…111110101110000000100100
3222111020222102001101222020100
4231323220210332232000210
5202434213202212034340
61553350055302304100
760356514620300232
oct5573504476560044
9874228361358210
10202010112221220
1159404009a57656
121a7a6ab5a28030
138894619842ab4
1437c54ad4c9952
151854b2ebe5830
hexb7ba24fae024

202010112221220 has 72 divisors (see below), whose sum is σ = 627014332840896. Its totient is φ = 52616587367232.

The previous prime is 202010112221131. The next prime is 202010112221231. The reversal of 202010112221220 is 22122211010202.

It is a happy number.

202010112221220 is a `hidden beast` number, since 20 + 201 + 0 + 1 + 1 + 2 + 221 + 220 = 666.

202010112221220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202010112221193 and 202010112221202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13049741112 + ... + 13049756591.

It is an arithmetic number, because the mean of its divisors is an integer number (8708532400568).

Almost surely, 2202010112221220 is an apocalyptic number.

202010112221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202010112221220 is an abundant number, since it is smaller than the sum of its proper divisors (425004220619676).

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

202010112221220 is a wasteful number, since it uses less digits than its factorization.

202010112221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26099497761 (or 26099497756 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202010112221220 its reverse (22122211010202), we get a palindrome (224132323231422).

The spelling of 202010112221220 in words is "two hundred two trillion, ten billion, one hundred twelve million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 26099497703 52198995406 78298493109 104397990812 130497488515 156596986218 234895479327 260994977030 313193972436 391492465545 469790958654 521989954060 782984931090 939581917308 1122278401229 1174477396635 1565969862180 2244556802458 2348954793270 3366835203687 4489113604916 4697909586540 5611392006145 6733670407374 10100505611061 11222784012290 13467340814748 16834176018435 20201011222122 22445568024580 33668352036870 40402022444244 50502528055305 67336704073740 101005056110610 202010112221220