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1311425220 = 22357217191381
BaseRepresentation
bin100111000101010…
…1100001011000100
310101101200022012110
41032022230023010
510141211101340
6334044221020
744332634100
oct11612541304
93341608173
101311425220
116132a11a6
1230723a770
1317b908471
14c6256900
157a1ea680
hex4e2ac2c4

1311425220 has 288 divisors, whose sum is σ = 4764251520. Its totient is φ = 267079680.

The previous prime is 1311425189. The next prime is 1311425233. The reversal of 1311425220 is 225241131.

It is a super-2 number, since 2×13114252202 = 3439672215304096800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1381 × 931 × 1020.

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 95 ways as a sum of consecutive naturals, for example, 948930 + ... + 950310.

It is an arithmetic number, because the mean of its divisors is an integer number (16542540).

Almost surely, 21311425220 is an apocalyptic number.

1311425220 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 1311425220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382125760).

1311425220 is an abundant number, since it is smaller than the sum of its proper divisors (3452826300).

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

1311425220 is a wasteful number, since it uses less digits than its factorization.

1311425220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1311425220 is about 36213.6054543040. The cubic root of 1311425220 is about 1094.5808449723.

Adding to 1311425220 its reverse (225241131), we get a palindrome (1536666351).

The spelling of 1311425220 in words is "one billion, three hundred eleven million, four hundred twenty-five thousand, two hundred twenty".