Search a number
-
+
1003222213220 = 225182172753533
BaseRepresentation
bin11101001100101001011…
…01000010001001100100
310112220111021120211001102
432212110231002021210
5112414044341310340
62044512433415232
7132323532053453
oct16462455021144
93486437524042
101003222213220
11357511870427
1214252110a518
13737aca13c96
14367b0374b9a
151b1695a1215
hexe994b42264

1003222213220 has 24 divisors (see below), whose sum is σ = 2106883061304. Its totient is φ = 401266711296.

The previous prime is 1003222213193. The next prime is 1003222213237. The reversal of 1003222213220 is 223122223001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 36591098944 + 966631114276 = 191288^2 + 983174^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1003222213192 and 1003222213201.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1012427 + ... + 1741106.

It is an arithmetic number, because the mean of its divisors is an integer number (87786794221).

Almost surely, 21003222213220 is an apocalyptic number.

1003222213220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003222213220 is an abundant number, since it is smaller than the sum of its proper divisors (1103660848084).

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

1003222213220 is a wasteful number, since it uses less digits than its factorization.

1003222213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771759 (or 2771757 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1003222213220 its reverse (223122223001), we get a palindrome (1226344436221).

The spelling of 1003222213220 in words is "one trillion, three billion, two hundred twenty-two million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 18217 36434 72868 91085 182170 364340 2753533 5507066 11014132 13767665 27535330 55070660 50161110661 100322221322 200644442644 250805553305 501611106610 1003222213220