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1321111420 = 2251913126539
BaseRepresentation
bin100111010111110…
…1000111101111100
310102001220102011121
41032233220331330
510201201031140
6335032000324
744511155536
oct11657507574
93361812147
101321111420
11618807622
1230a5300a4
1318091a245
14c7658856
157aeb064a
hex4ebe8f7c

1321111420 has 48 divisors (see below), whose sum is σ = 2942755200. Its totient is φ = 496791360.

The previous prime is 1321111399. The next prime is 1321111423. The reversal of 1321111420 is 241111231.

It is a junction number, because it is equal to n+sod(n) for n = 1321111394 and 1321111403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321111423) 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, 36511 + ... + 63049.

It is an arithmetic number, because the mean of its divisors is an integer number (61307400).

Almost surely, 21321111420 is an apocalyptic number.

1321111420 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 1321111420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471377600).

1321111420 is an abundant number, since it is smaller than the sum of its proper divisors (1621643780).

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

1321111420 is a wasteful number, since it uses less digits than its factorization.

1321111420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26698 (or 26696 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1321111420 is about 36347.0964452458. The cubic root of 1321111420 is about 1097.2690990525.

Adding to 1321111420 its reverse (241111231), we get a palindrome (1562222651).

The spelling of 1321111420 in words is "one billion, three hundred twenty-one million, one hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 131 190 262 380 524 655 1310 2489 2620 4978 9956 12445 24890 26539 49780 53078 106156 132695 265390 504241 530780 1008482 2016964 2521205 3476609 5042410 6953218 10084820 13906436 17383045 34766090 66055571 69532180 132111142 264222284 330277855 660555710 1321111420