Search a number
-
+
13310312310 = 2335422911657
BaseRepresentation
bin11000110010101101…
…10011111101110110
31021100121200220221000
430121112303331312
5204224414443220
610040434104130
7650561534151
oct143126637566
937317626830
1013310312310
115710362709
1226b571b046
131341770559
14903a64c98
1552d7eb390
hex3195b3f76

13310312310 has 64 divisors (see below), whose sum is σ = 35505604800. Its totient is φ = 3548272896.

The previous prime is 13310312293. The next prime is 13310312311. The reversal of 13310312310 is 1321301331.

It is a happy number.

13310312310 is a `hidden beast` number, since 1 + 33 + 10 + 312 + 310 = 666.

It is a super-2 number, since 2×133103123102 (a number of 21 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 not an unprimeable number, because it can be changed into a prime (13310312311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1136002 + ... + 1147658.

It is an arithmetic number, because the mean of its divisors is an integer number (554775075).

Almost surely, 213310312310 is an apocalyptic number.

13310312310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13310312310 is an abundant number, since it is smaller than the sum of its proper divisors (22195292490).

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

13310312310 is a wasteful number, since it uses less digits than its factorization.

13310312310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15902 (or 15896 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13310312310 its reverse (1321301331), we get a palindrome (14631613641).

The spelling of 13310312310 in words is "thirteen billion, three hundred ten million, three hundred twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 4229 8458 11657 12687 21145 23314 25374 34971 38061 42290 58285 63435 69942 76122 104913 114183 116570 126870 174855 190305 209826 228366 314739 349710 380610 524565 570915 629478 1049130 1141830 1573695 3147390 49297453 98594906 147892359 246487265 295784718 443677077 492974530 739461795 887354154 1331031231 1478923590 2218385385 2662062462 4436770770 6655156155 13310312310