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1321131420 = 2232571048517
BaseRepresentation
bin100111010111110…
…1101110110011100
310102001221102121100
41032233231312130
510201202201140
6335032233100
744511301050
oct11657556634
93361842540
101321131420
11618820654
1230a53b790
1318092638b
14c7661c60
157aeb6530
hex4ebedd9c

1321131420 has 72 divisors (see below), whose sum is σ = 4579926624. Its totient is φ = 301972608.

The previous prime is 1321131407. The next prime is 1321131437. The reversal of 1321131420 is 241311231.

1321131420 is a `hidden beast` number, since 1 + 3 + 211 + 31 + 420 = 666.

It is a super-2 number, since 2×13211314202 = 3490776457822432800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1321131393 and 1321131402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 522999 + ... + 525518.

It is an arithmetic number, because the mean of its divisors is an integer number (63610092).

Almost surely, 21321131420 is an apocalyptic number.

1321131420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321131420 is an abundant number, since it is smaller than the sum of its proper divisors (3258795204).

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

1321131420 is a wasteful number, since it uses less digits than its factorization.

1321131420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048539 (or 1048534 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1321131420 is about 36347.3715693446. The cubic root of 1321131420 is about 1097.2746361255.

Adding to 1321131420 its reverse (241311231), we get a palindrome (1562442651).

The spelling of 1321131420 in words is "one billion, three hundred twenty-one million, one hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 1048517 2097034 3145551 4194068 5242585 6291102 7339619 9436653 10485170 12582204 14679238 15727755 18873306 20970340 22018857 29358476 31455510 36698095 37746612 44037714 47183265 62911020 66056571 73396190 88075428 94366530 110094285 132113142 146792380 188733060 220188570 264226284 330282855 440377140 660565710 1321131420