Search a number
-
+
13312201030110 = 232517371633673931
BaseRepresentation
bin1100000110110111110100…
…0000110111100111011110
31202010122010011211002211200
43001231331000313213132
53221101341430430420
644151312444100330
72542526515515303
oct301557500674736
952118104732750
1013312201030110
114272744484554
1215abbb12346a6
137574484a6968
143404577550aa
15181433075b90
hexc1b7d0379de

13312201030110 has 384 divisors, whose sum is σ = 37981939267584. Its totient is φ = 3221234749440.

The previous prime is 13312201030087. The next prime is 13312201030129. The reversal of 13312201030110 is 1103010221331.

13312201030110 is a `hidden beast` number, since 1 + 331 + 2 + 20 + 1 + 0 + 301 + 10 = 666.

It is a super-2 number, since 2×133122010301102 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

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, 3386464845 + ... + 3386468775.

It is an arithmetic number, because the mean of its divisors is an integer number (98911300176).

Almost surely, 213312201030110 is an apocalyptic number.

13312201030110 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 13312201030110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18990969633792).

13312201030110 is an abundant number, since it is smaller than the sum of its proper divisors (24669738237474).

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

13312201030110 is a wasteful number, since it uses less digits than its factorization.

13312201030110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4528 (or 4525 counting only the distinct ones).

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

Adding to 13312201030110 its reverse (1103010221331), we get a palindrome (14415211251441).

The spelling of 13312201030110 in words is "thirteen trillion, three hundred twelve billion, two hundred one million, thirty thousand, one hundred ten".