Search a number
-
+
13313020110 = 235131797127163
BaseRepresentation
bin11000110011000010…
…01001000011001110
31021100210210111022220
430121201021003032
5204231113120420
610041012120210
7650623542465
oct143141110316
937323714286
1013313020110
115711942065
1226b6606066
1313421aabc0
1490416b9dc
1552db83840
hex3198490ce

13313020110 has 256 divisors, whose sum is σ = 37326127104. Its totient is φ = 3009871872.

The previous prime is 13313020099. The next prime is 13313020151. The reversal of 13313020110 is 1102031331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13313020110.

It is a congruent number.

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, 81674889 + ... + 81675051.

It is an arithmetic number, because the mean of its divisors is an integer number (145805184).

Almost surely, 213313020110 is an apocalyptic number.

13313020110 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 13313020110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18663063552).

13313020110 is an abundant number, since it is smaller than the sum of its proper divisors (24013106994).

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

13313020110 is a wasteful number, since it uses less digits than its factorization.

13313020110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13313020110 its reverse (1102031331), we get a palindrome (14415051441).

The spelling of 13313020110 in words is "thirteen billion, three hundred thirteen million, twenty thousand, one hundred ten".