Search a number
-
+
1000111220 = 225389128549
BaseRepresentation
bin111011100111000…
…111110001110100
32120200212220200022
4323213013301310
54022012024340
6243123504312
733532543103
oct7347076164
92520786608
101000111220
1147359a3a9
1223ab28098
1312c2789b4
1496b7a03a
155cc043b5
hex3b9c7c74

1000111220 has 24 divisors (see below), whose sum is σ = 2105649000. Its totient is φ = 399012992.

The previous prime is 1000111213. The next prime is 1000111223. The reversal of 1000111220 is 221110001.

It can be written as a sum of positive squares in 4 ways, for example, as 37994896 + 962116324 = 6164^2 + 31018^2 .

It is a super-3 number, since 3×10001112203 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000111198 and 1000111207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000111223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56495 + ... + 72054.

It is an arithmetic number, because the mean of its divisors is an integer number (87735375).

Almost surely, 21000111220 is an apocalyptic number.

1000111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000111220 is an abundant number, since it is smaller than the sum of its proper divisors (1105537780).

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

1000111220 is a wasteful number, since it uses less digits than its factorization.

1000111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128947 (or 128945 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1000111220 is about 31624.5350953971. The cubic root of 1000111220 is about 1000.0370719590.

Adding to 1000111220 its reverse (221110001), we get a palindrome (1221221221).

The spelling of 1000111220 in words is "one billion, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 389 778 1556 1945 3890 7780 128549 257098 514196 642745 1285490 2570980 50005561 100011122 200022244 250027805 500055610 1000111220