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202101220 = 22510105061
BaseRepresentation
bin11000000101111…
…01000111100100
3112002021210202101
430002331013210
5403214214340
632015421444
75002555246
oct1402750744
9462253671
10202101220
11a4098702
1257824884
1332b41829
141cbac096
1512b21c9a
hexc0bd1e4

202101220 has 12 divisors (see below), whose sum is σ = 424412604. Its totient is φ = 80840480.

The previous prime is 202101217. The next prime is 202101223. The reversal of 202101220 is 22101202.

202101220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202101217) and next prime (202101223).

It can be written as a sum of positive squares in 2 ways, for example, as 148254976 + 53846244 = 12176^2 + 7338^2 .

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 = 202101197 and 202101206.

It is not an unprimeable number, because it can be changed into a prime (202101223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5052511 + ... + 5052550.

It is an arithmetic number, because the mean of its divisors is an integer number (35367717).

Almost surely, 2202101220 is an apocalyptic number.

202101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202101220 is an abundant number, since it is smaller than the sum of its proper divisors (222311384).

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

202101220 is a wasteful number, since it uses less digits than its factorization.

202101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10105070 (or 10105068 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 202101220 is about 14216.2308647546. The cubic root of 202101220 is about 586.8444185613.

Adding to 202101220 its reverse (22101202), we get a palindrome (224202422).

The spelling of 202101220 in words is "two hundred two million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 10105061 20210122 40420244 50525305 101050610 202101220