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103312220 = 2251133881
BaseRepresentation
bin1100010100001…
…10101101011100
321012101210201112
412022012231130
5202421442340
614130201152
72363065544
oct612065534
9235353645
10103312220
1153354000
122a7231b8
13185332bb
14da14324
15910b065
hex6286b5c

103312220 has 48 divisors (see below), whose sum is σ = 238696416. Its totient is φ = 37558400.

The previous prime is 103312219. The next prime is 103312229. The reversal of 103312220 is 22213301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 103312195 and 103312204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103312229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24680 + ... + 28560.

It is an arithmetic number, because the mean of its divisors is an integer number (4972842).

Almost surely, 2103312220 is an apocalyptic number.

103312220 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 103312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119348208).

103312220 is an abundant number, since it is smaller than the sum of its proper divisors (135384196).

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

103312220 is a wasteful number, since it uses less digits than its factorization.

103312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3923 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 103312220 is about 10164.2619013876. The cubic root of 103312220 is about 469.2279765681.

Adding to 103312220 its reverse (22213301), we get a palindrome (125525521).

The spelling of 103312220 in words is "one hundred three million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 1331 2420 2662 3881 5324 6655 7762 13310 15524 19405 26620 38810 42691 77620 85382 170764 213455 426910 469601 853820 939202 1878404 2348005 4696010 5165611 9392020 10331222 20662444 25828055 51656110 103312220