Search a number
-
+
1320122101320 = 23375114632963
BaseRepresentation
bin10011001101011101011…
…010001010111001001000
311200012110120122010000000
4103031131122022321020
5133112102224220240
62450242234043000
7164242566500661
oct23153532127110
94605416563000
101320122101320
114699515687a0
12193a22279460
1397643b83579
1447c73b76368
152451575e430
hex1335d68ae48

1320122101320 has 512 divisors, whose sum is σ = 4871848550400. Its totient is φ = 319230616320.

The previous prime is 1320122101313. The next prime is 1320122101379. The reversal of 1320122101320 is 231012210231.

1320122101320 is a `hidden beast` number, since 1 + 320 + 1 + 2 + 21 + 0 + 1 + 320 = 666.

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 = 1320122101293 and 1320122101302.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 445534159 + ... + 445537121.

It is an arithmetic number, because the mean of its divisors is an integer number (9515329200).

Almost surely, 21320122101320 is an apocalyptic number.

1320122101320 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 1320122101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435924275200).

1320122101320 is an abundant number, since it is smaller than the sum of its proper divisors (3551726449080).

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

1320122101320 is a wasteful number, since it uses less digits than its factorization.

1320122101320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3469 (or 3447 counting only the distinct ones).

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

Adding to 1320122101320 its reverse (231012210231), we get a palindrome (1551134311551).

The spelling of 1320122101320 in words is "one trillion, three hundred twenty billion, one hundred twenty-two million, one hundred one thousand, three hundred twenty".