Search a number
-
+
100001220 = 223511151517
BaseRepresentation
bin1011111010111…
…10010111000100
320222011120212220
411331132113010
5201100014340
613531212340
72322665514
oct575362704
9228146786
10100001220
11514a2440
12295a70b0
1317944227
14d3d1844
158ba4ed0
hex5f5e5c4

100001220 has 48 divisors (see below), whose sum is σ = 305460288. Its totient is φ = 24242560.

The previous prime is 100001219. The next prime is 100001227. The reversal of 100001220 is 22100001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 100001199 and 100001208.

It is not an unprimeable number, because it can be changed into a prime (100001227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75099 + ... + 76418.

It is an arithmetic number, because the mean of its divisors is an integer number (6363756).

Almost surely, 2100001220 is an apocalyptic number.

100001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001220 is an abundant number, since it is smaller than the sum of its proper divisors (205459068).

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

100001220 is a wasteful number, since it uses less digits than its factorization.

100001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151540 (or 151538 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 100001220 is about 10000.0609998140. The cubic root of 100001220 is about 464.1607709331.

Adding to 100001220 its reverse (22100001), we get a palindrome (122101221).

The spelling of 100001220 in words is "one hundred million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 151517 303034 454551 606068 757585 909102 1515170 1666687 1818204 2272755 3030340 3333374 4545510 5000061 6666748 8333435 9091020 10000122 16666870 20000244 25000305 33333740 50000610 100001220