Search a number
-
+
1311300222030 = 2355977577349
BaseRepresentation
bin10011000101001111100…
…101010111110001001110
311122100200202201012200000
4103011033211113301032
5132441020324101110
62442223014345130
7163511145660201
oct23051745276116
94570622635600
101311300222030
11466134876267
1219217b95b1a6
1396869299956
1447678289938
152419b0191c0
hex1314f957c4e

1311300222030 has 192 divisors, whose sum is σ = 3577309444800. Its totient is φ = 345570914304.

The previous prime is 1311300222007. The next prime is 1311300222031. The reversal of 1311300222030 is 302220031131.

1311300222030 is a `hidden beast` number, since 1 + 311 + 300 + 2 + 2 + 20 + 30 = 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 = 1311300221994 and 1311300222012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311300222031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178428796 + ... + 178436144.

It is an arithmetic number, because the mean of its divisors is an integer number (18631820025).

Almost surely, 21311300222030 is an apocalyptic number.

1311300222030 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 1311300222030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788654722400).

1311300222030 is an abundant number, since it is smaller than the sum of its proper divisors (2266009222770).

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

1311300222030 is an equidigital number, since it uses as much as digits as its factorization.

1311300222030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8225 (or 8213 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1311300222030 its reverse (302220031131), we get a palindrome (1613520253161).

The spelling of 1311300222030 in words is "one trillion, three hundred eleven billion, three hundred million, two hundred twenty-two thousand, thirty".