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11202021220 = 22513181238037
BaseRepresentation
bin10100110111011000…
…10100011101100100
31001220200120122020211
422123230110131210
5140420204134340
65051322105204
7544411415665
oct123354243544
931820518224
1011202021220
114829281385
12220764b204
131096a3b930
14783a5b36c
154586975ea
hex29bb14764

11202021220 has 48 divisors (see below), whose sum is σ = 25473874608. Its totient is φ = 4113262080.

The previous prime is 11202021211. The next prime is 11202021227. The reversal of 11202021220 is 2212020211.

It is a happy number.

11202021220 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 8 ways, for example, as 5655942436 + 5546078784 = 75206^2 + 74472^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 11202021220.

It is not an unprimeable number, because it can be changed into a prime (11202021227) 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, 71959 + ... + 166078.

It is an arithmetic number, because the mean of its divisors is an integer number (530705721).

Almost surely, 211202021220 is an apocalyptic number.

11202021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11202021220 is an abundant number, since it is smaller than the sum of its proper divisors (14271853388).

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

11202021220 is a wasteful number, since it uses less digits than its factorization.

11202021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238240 (or 238238 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 11202021220 its reverse (2212020211), we get a palindrome (13414041431).

The spelling of 11202021220 in words is "eleven billion, two hundred two million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 181 260 362 724 905 1810 2353 3620 4706 9412 11765 23530 47060 238037 476074 952148 1190185 2380370 3094481 4760740 6188962 12377924 15472405 30944810 43084697 61889620 86169394 172338788 215423485 430846970 560101061 861693940 1120202122 2240404244 2800505305 5601010610 11202021220