Search a number
-
+
1002221110220 = 2251111593392957
BaseRepresentation
bin11101001010110010000…
…10001000001111001100
310112210220111211111220112
432211121002020033030
5112410022101011340
62044225232335152
7132256654610021
oct16453102101714
93483814744815
101002221110220
11357048763980
121422a19a44b8
13736804aba45
143671741b548
151b10b753065
hexe9590883cc

1002221110220 has 48 divisors (see below), whose sum is σ = 2296201346208. Its totient is φ = 364411676160.

The previous prime is 1002221110207. The next prime is 1002221110229. The reversal of 1002221110220 is 220111222001.

It is a junction number, because it is equal to n+sod(n) for n = 1002221110195 and 1002221110204.

It is not an unprimeable number, because it can be changed into a prime (1002221110229) 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, 2353982 + ... + 2746938.

It is an arithmetic number, because the mean of its divisors is an integer number (47837528046).

Almost surely, 21002221110220 is an apocalyptic number.

1002221110220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002221110220 is an abundant number, since it is smaller than the sum of its proper divisors (1293980235988).

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

1002221110220 is a wasteful number, since it uses less digits than its factorization.

1002221110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404570 (or 404568 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1002221110220 its reverse (220111222001), we get a palindrome (1222332332221).

The spelling of 1002221110220 in words is "one trillion, two billion, two hundred twenty-one million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 11593 23186 46372 57965 115930 127523 231860 255046 392957 510092 637615 785914 1275230 1571828 1964785 2550460 3929570 4322527 7859140 8645054 17290108 21612635 43225270 86450540 4555550501 9111101002 18222202004 22777752505 45555505010 50111055511 91111010020 100222111022 200444222044 250555277555 501110555110 1002221110220