Search a number
-
+
13310115420 = 2235731690751
BaseRepresentation
bin11000110010101100…
…00011111001011100
31021100121022220211210
430121112003321130
5204224342143140
610040425544420
7650560054140
oct143126037134
937317286753
1013310115420
115710238798
1226b5645110
131341701a54
14903a13220
1552d7acd80
hex319583e5c

13310115420 has 48 divisors (see below), whose sum is σ = 42592370688. Its totient is φ = 3042312000.

The previous prime is 13310115419. The next prime is 13310115431. The reversal of 13310115420 is 2451101331.

13310115420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15844956 + ... + 15845795.

It is an arithmetic number, because the mean of its divisors is an integer number (887341056).

Almost surely, 213310115420 is an apocalyptic number.

13310115420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13310115420 is an abundant number, since it is smaller than the sum of its proper divisors (29282255268).

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

13310115420 is a wasteful number, since it uses less digits than its factorization.

13310115420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31690770 (or 31690768 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 13310115420 its reverse (2451101331), we get a palindrome (15761216751).

The spelling of 13310115420 in words is "thirteen billion, three hundred ten million, one hundred fifteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 31690751 63381502 95072253 126763004 158453755 190144506 221835257 316907510 380289012 443670514 475361265 633815020 665505771 887341028 950722530 1109176285 1331011542 1901445060 2218352570 2662023084 3327528855 4436705140 6655057710 13310115420