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1303122220 = 2251913924671
BaseRepresentation
bin100110110101100…
…0001000100101100
310100211001110121221
41031223001010230
510132044402340
6333150233124
744202233101
oct11553010454
93324043557
101303122220
11609640014
123044b57a4
13179c8c14a
14c50d4aa8
157960a44a
hex4dac112c

1303122220 has 48 divisors (see below), whose sum is σ = 2901427200. Its totient is φ = 490242240.

The previous prime is 1303122179. The next prime is 1303122241. The reversal of 1303122220 is 222213031.

It is a junction number, because it is equal to n+sod(n) for n = 1303122194 and 1303122203.

It is an unprimeable number.

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, 40485 + ... + 65155.

It is an arithmetic number, because the mean of its divisors is an integer number (60446400).

Almost surely, 21303122220 is an apocalyptic number.

1303122220 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 1303122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450713600).

1303122220 is an abundant number, since it is smaller than the sum of its proper divisors (1598304980).

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

1303122220 is a wasteful number, since it uses less digits than its factorization.

1303122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24838 (or 24836 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1303122220 is about 36098.7841900527. The cubic root of 1303122220 is about 1092.2659200680.

Adding to 1303122220 its reverse (222213031), we get a palindrome (1525335251).

The spelling of 1303122220 in words is "one billion, three hundred three million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 139 190 278 380 556 695 1390 2641 2780 5282 10564 13205 24671 26410 49342 52820 98684 123355 246710 468749 493420 937498 1874996 2343745 3429269 4687490 6858538 9374980 13717076 17146345 34292690 65156111 68585380 130312222 260624444 325780555 651561110 1303122220