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103222020 = 223511295393
BaseRepresentation
bin1100010011100…
…00101100000100
321012020012222210
412021300230010
5202411101040
614124223420
72362241556
oct611605404
9235205883
10103222020
11532a2260
122a69ab70
1318501225
14d9cd4d6
1590de480
hex6270b04

103222020 has 96 divisors (see below), whose sum is σ = 326229120. Its totient is φ = 24156160.

The previous prime is 103221967. The next prime is 103222027. The reversal of 103222020 is 20222301.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 103221987 and 103222005.

It is not an unprimeable number, because it can be changed into a prime (103222027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16444 + ... + 21836.

It is an arithmetic number, because the mean of its divisors is an integer number (3398220).

Almost surely, 2103222020 is an apocalyptic number.

103222020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163114560).

103222020 is an abundant number, since it is smaller than the sum of its proper divisors (223007100).

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

103222020 is a wasteful number, since it uses less digits than its factorization.

103222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5445 (or 5443 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 103222020 is about 10159.8238173701. The cubic root of 103222020 is about 469.0913787000.

Adding to 103222020 its reverse (20222301), we get a palindrome (123444321).

The spelling of 103222020 in words is "one hundred three million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 29 30 33 44 55 58 60 66 87 110 116 132 145 165 174 220 290 319 330 348 435 580 638 660 870 957 1276 1595 1740 1914 3190 3828 4785 5393 6380 9570 10786 16179 19140 21572 26965 32358 53930 59323 64716 80895 107860 118646 156397 161790 177969 237292 296615 312794 323580 355938 469191 593230 625588 711876 781985 889845 938382 1186460 1563970 1720367 1779690 1876764 2345955 3127940 3440734 3559380 4691910 5161101 6881468 8601835 9383820 10322202 17203670 20644404 25805505 34407340 51611010 103222020