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1303210420 = 225411589281
BaseRepresentation
bin100110110101101…
…0110100110110100
310100211012221121121
41031223112212310
510132110213140
6333152153324
744203051201
oct11553264664
93324187547
101303210420
116096a0306
12304538844
13179cc0335
14c5118ca8
157962664a
hex4dad69b4

1303210420 has 24 divisors (see below), whose sum is σ = 2803493448. Its totient is φ = 508569600.

The previous prime is 1303210409. The next prime is 1303210453. The reversal of 1303210420 is 240123031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 197514916 + 1105695504 = 14054^2 + 33252^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1303210394 and 1303210403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 793821 + ... + 795460.

It is an arithmetic number, because the mean of its divisors is an integer number (116812227).

Almost surely, 21303210420 is an apocalyptic number.

1303210420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1303210420 is an abundant number, since it is smaller than the sum of its proper divisors (1500283028).

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

1303210420 is a wasteful number, since it uses less digits than its factorization.

1303210420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589331 (or 1589329 counting only the distinct ones).

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

The square root of 1303210420 is about 36100.0058171740. The cubic root of 1303210420 is about 1092.2905623410.

Adding to 1303210420 its reverse (240123031), we get a palindrome (1543333451).

The spelling of 1303210420 in words is "one billion, three hundred three million, two hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1589281 3178562 6357124 7946405 15892810 31785620 65160521 130321042 260642084 325802605 651605210 1303210420