Search a number
-
+
1322101031130 = 232511171371932971
BaseRepresentation
bin10011001111010011010…
…111001100000011011010
311200101120111100011100200
4103033103113030003122
5133130130330444010
62451210445243030
7164342616225435
oct23172327140332
94611514304320
101322101031130
1146a777623a80
12194294b63476
139789ab61359
1447dc090881c
15245ce35dcc0
hex133d35cc0da

1322101031130 has 384 divisors, whose sum is σ = 4021603312896. Its totient is φ = 297802137600.

The previous prime is 1322101031099. The next prime is 1322101031203. The reversal of 1322101031130 is 311301012231.

1322101031130 is a `hidden beast` number, since 1 + 322 + 1 + 0 + 1 + 0 + 311 + 30 = 666.

It is a super-2 number, since 2×13221010311302 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 445000545 + ... + 445003515.

It is an arithmetic number, because the mean of its divisors is an integer number (10472925294).

Almost surely, 21322101031130 is an apocalyptic number.

1322101031130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1322101031130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010801656448).

1322101031130 is an abundant number, since it is smaller than the sum of its proper divisors (2699502281766).

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

1322101031130 is a wasteful number, since it uses less digits than its factorization.

1322101031130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1322101031130 its reverse (311301012231), we get a palindrome (1633402043361).

The spelling of 1322101031130 in words is "one trillion, three hundred twenty-two billion, one hundred one million, thirty-one thousand, one hundred thirty".