Search a number
-
+
202011101020 = 22567978115413
BaseRepresentation
bin1011110000100011001…
…1001100011101011100
3201022102111112012110101
42330020303030131130
511302204320213040
6232445210550444
720411011012201
oct2741063143534
9638374465411
10202011101020
1178744000163
1233199138424
1316084b82291
149ac5229ca8
1553c4ccb09a
hex2f08ccc75c

202011101020 has 48 divisors (see below), whose sum is σ = 430626960288. Its totient is φ = 79585102080.

The previous prime is 202011100979. The next prime is 202011101059. The reversal of 202011101020 is 20101110202.

202011101020 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 (10).

It is a junction number, because it is equal to n+sod(n) for n = 202011100988 and 202011101006.

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 15 ways as a sum of consecutive naturals, for example, 13098834 + ... + 13114246.

It is an arithmetic number, because the mean of its divisors is an integer number (8971395006).

Almost surely, 2202011101020 is an apocalyptic number.

202011101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202011101020 is an abundant number, since it is smaller than the sum of its proper divisors (228615859268).

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

202011101020 is a wasteful number, since it uses less digits than its factorization.

202011101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25270 (or 25268 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 202011101020 its reverse (20101110202), we get a palindrome (222112211222).

It can be divided in two parts, 202011 and 101020, that added together give a triangular number (303031 = T778).

The spelling of 202011101020 in words is "two hundred two billion, eleven million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 67 134 268 335 670 1340 9781 15413 19562 30826 39124 48905 61652 77065 97810 154130 195620 308260 655327 1032671 1310654 2065342 2621308 3276635 4130684 5163355 6553270 10326710 13106540 20653420 150754553 301509106 603018212 753772765 1507545530 3015091060 10100555051 20201110102 40402220204 50502775255 101005550510 202011101020