Search a number
-
+
1000202001220 = 225291724486209
BaseRepresentation
bin11101000111000001010…
…11110101101101000100
310112121200210112011001201
432203200223311231010
5112341403203014340
62043253024032244
7132155636506612
oct16434053655504
93477623464051
101000202001220
11356201a55454
12141a19762684
137341b0a39a6
14365a51ca6b2
151b03e36879a
hexe8e0af5b44

1000202001220 has 24 divisors (see below), whose sum is σ = 2172852624600. Its totient is φ = 386284910592.

The previous prime is 1000202001199. The next prime is 1000202001233. The reversal of 1000202001220 is 221002020001.

1000202001220 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 4 ways, for example, as 152855977024 + 847346024196 = 390968^2 + 920514^2 .

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 = 1000202001197 and 1000202001206.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 862242525 + ... + 862243684.

It is an arithmetic number, because the mean of its divisors is an integer number (90535526025).

Almost surely, 21000202001220 is an apocalyptic number.

1000202001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000202001220 is an abundant number, since it is smaller than the sum of its proper divisors (1172650623380).

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

1000202001220 is a wasteful number, since it uses less digits than its factorization.

1000202001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724486247 (or 1724486245 counting only the distinct ones).

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

Adding to 1000202001220 its reverse (221002020001), we get a palindrome (1221204021221).

The spelling of 1000202001220 in words is "one trillion, two hundred two million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1724486209 3448972418 6897944836 8622431045 17244862090 34489724180 50010100061 100020200122 200040400244 250050500305 500101000610 1000202001220