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1303311220 = 225283409563
BaseRepresentation
bin100110110101110…
…1111001101110100
310100211102001212221
41031223233031310
510132121424340
6333154252124
744203651111
oct11553571564
93324361787
101303311220
1160975a012
12304587044
1317a027193
14c5143908
157964644a
hex4daef374

1303311220 has 48 divisors (see below), whose sum is σ = 2758230720. Its totient is φ = 517291776.

The previous prime is 1303311167. The next prime is 1303311227. The reversal of 1303311220 is 221133031.

It is a junction number, because it is equal to n+sod(n) for n = 1303311194 and 1303311203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303311227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2314659 + ... + 2315221.

It is an arithmetic number, because the mean of its divisors is an integer number (57463140).

Almost surely, 21303311220 is an apocalyptic number.

1303311220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1303311220 is an abundant number, since it is smaller than the sum of its proper divisors (1454919500).

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

1303311220 is a wasteful number, since it uses less digits than its factorization.

1303311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1303311220 is about 36101.4019118372. The cubic root of 1303311220 is about 1092.3187235774.

Adding to 1303311220 its reverse (221133031), we get a palindrome (1524444251).

The spelling of 1303311220 in words is "one billion, three hundred three million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 283 409 563 566 818 1126 1132 1415 1636 2045 2252 2815 2830 4090 5630 5660 8180 11260 115747 159329 230267 231494 318658 460534 462988 578735 637316 796645 921068 1151335 1157470 1593290 2302670 2314940 3186580 4605340 65165561 130331122 260662244 325827805 651655610 1303311220