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1321322420 = 225112546001
BaseRepresentation
bin100111011000001…
…1100011110110100
310102002022010121102
41032300130132310
510201224304140
6335040305232
744513024645
oct11660343664
93362263542
101321322420
11618941100
1230a612218
131809922b2
14c76b16cc
157b002e15
hex4ec1c7b4

1321322420 has 36 divisors (see below), whose sum is σ = 3049967172. Its totient is φ = 480480000.

The previous prime is 1321322417. The next prime is 1321322473. The reversal of 1321322420 is 242231231.

It can be written as a sum of positive squares in 2 ways, for example, as 940526224 + 380796196 = 30668^2 + 19514^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1321322392 and 1321322401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270581 + ... + 275420.

Almost surely, 21321322420 is an apocalyptic number.

1321322420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321322420 is an abundant number, since it is smaller than the sum of its proper divisors (1728644752).

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

1321322420 is a wasteful number, since it uses less digits than its factorization.

1321322420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546032 (or 546019 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1321322420 is about 36349.9988995873. The cubic root of 1321322420 is about 1097.3275123581.

Adding to 1321322420 its reverse (242231231), we get a palindrome (1563553651).

The spelling of 1321322420 in words is "one billion, three hundred twenty-one million, three hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 546001 1092002 2184004 2730005 5460010 6006011 10920020 12012022 24024044 30030055 60060110 66066121 120120220 132132242 264264484 330330605 660661210 1321322420