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1302312220 = 2251137915619
BaseRepresentation
bin100110110011111…
…1011010100011100
310100202112022111221
41031213323110130
510131342442340
6333121023124
744162320426
oct11547732434
93322468457
101302312220
116091374a0
12304184aa4
13179a67561
14c4d63816
15794ea44a
hex4d9fb51c

1302312220 has 48 divisors (see below), whose sum is σ = 2991542400. Its totient is φ = 472288320.

The previous prime is 1302312211. The next prime is 1302312227. The reversal of 1302312220 is 222132031.

It is a super-2 number, since 2×13023122202 = 3392034236722656800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1302312194 and 1302312203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1302312227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75571 + ... + 91189.

It is an arithmetic number, because the mean of its divisors is an integer number (62323800).

Almost surely, 21302312220 is an apocalyptic number.

1302312220 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 1302312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495771200).

1302312220 is an abundant number, since it is smaller than the sum of its proper divisors (1689230180).

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

1302312220 is a wasteful number, since it uses less digits than its factorization.

1302312220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16018 (or 16016 counting only the distinct ones).

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

The square root of 1302312220 is about 36087.5632316730. The cubic root of 1302312220 is about 1092.0395614662.

Adding to 1302312220 its reverse (222132031), we get a palindrome (1524444251).

The spelling of 1302312220 in words is "one billion, three hundred two million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 379 758 1516 1895 3790 4169 7580 8338 15619 16676 20845 31238 41690 62476 78095 83380 156190 171809 312380 343618 687236 859045 1718090 3436180 5919601 11839202 23678404 29598005 59196010 65115611 118392020 130231222 260462444 325578055 651156110 1302312220