Search a number
-
+
10202001220 = 2254877104593
BaseRepresentation
bin10011000000001011…
…00010111101000100
3222022222212100201001
421200011202331010
5131343203014340
64404200143044
7510546402535
oct114005427504
928288770631
1010202001220
114365844574
121b88767a84
13c677c5618
146cad0668c
153ea9b029a
hex260162f44

10202001220 has 24 divisors (see below), whose sum is σ = 21428800344. Its totient is φ = 4079924736.

The previous prime is 10202001179. The next prime is 10202001239. The reversal of 10202001220 is 2210020201.

It can be written as a sum of positive squares in 4 ways, for example, as 370485504 + 9831515716 = 19248^2 + 99154^2 .

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 = 10202001197 and 10202001206.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 45244 + ... + 149836.

It is an arithmetic number, because the mean of its divisors is an integer number (892866681).

Almost surely, 210202001220 is an apocalyptic number.

10202001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202001220 is an abundant number, since it is smaller than the sum of its proper divisors (11226799124).

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

10202001220 is a wasteful number, since it uses less digits than its factorization.

10202001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109479 (or 109477 counting only the distinct ones).

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

Adding to 10202001220 its reverse (2210020201), we get a palindrome (12412021421).

The spelling of 10202001220 in words is "ten billion, two hundred two million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 4877 9754 19508 24385 48770 97540 104593 209186 418372 522965 1045930 2091860 510100061 1020200122 2040400244 2550500305 5101000610 10202001220