Search a number
-
+
13310002310220 = 2232571119193261881
BaseRepresentation
bin1100000110101111100111…
…1101011010110001001100
31202010102102221112120011200
43001223321331122301030
53221032341042411340
644150310341545500
72542421156640240
oct301537175326114
952112387476150
1013310002310220
114271816349780
1215ab698a15290
13757187b02b85
143402c972c420
1518135500d330
hexc1af9f5ac4c

13310002310220 has 576 divisors, whose sum is σ = 53260010818560. Its totient is φ = 2606564966400.

The previous prime is 13310002310197. The next prime is 13310002310243. The reversal of 13310002310220 is 2201320001331.

13310002310220 is a `hidden beast` number, since 1 + 33 + 100 + 0 + 2 + 310 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (13310002310197) and next prime (13310002310243).

It is a super-2 number, since 2×133100023102202 (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 junction number, because it is equal to n+sod(n) for n = 13310002310193 and 13310002310202.

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, 50693680 + ... + 50955560.

It is an arithmetic number, because the mean of its divisors is an integer number (92465296560).

Almost surely, 213310002310220 is an apocalyptic number.

13310002310220 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 13310002310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26630005409280).

13310002310220 is an abundant number, since it is smaller than the sum of its proper divisors (39950008508340).

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

13310002310220 is a wasteful number, since it uses less digits than its factorization.

13310002310220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262126 (or 262121 counting only the distinct ones).

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

Adding to 13310002310220 its reverse (2201320001331), we get a palindrome (15511322311551).

The spelling of 13310002310220 in words is "thirteen trillion, three hundred ten billion, two million, three hundred ten thousand, two hundred twenty".