Search a number
-
+
13310031330 = 2325712082947
BaseRepresentation
bin11000110010101011…
…01111010111100010
31021100121011122111100
430121111233113202
5204224332000310
610040424055230
7650556254031
oct143125572742
937317148440
1013310031330
1157101905a2
1226b5604516
1313416a26ab
149039d0718
1552d792ec0
hex31956f5e2

13310031330 has 48 divisors (see below), whose sum is σ = 35093507904. Its totient is φ = 3499349280.

The previous prime is 13310031307. The next prime is 13310031331. The reversal of 13310031330 is 3313001331.

13310031330 is a `hidden beast` number, since 1 + 331 + 0 + 0 + 3 + 1 + 330 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13310031331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1035084 + ... + 1047863.

It is an arithmetic number, because the mean of its divisors is an integer number (731114748).

Almost surely, 213310031330 is an apocalyptic number.

13310031330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13310031330 is an abundant number, since it is smaller than the sum of its proper divisors (21783476574).

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

13310031330 is a wasteful number, since it uses less digits than its factorization.

13310031330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083031 (or 2083028 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 13310031330 its reverse (3313001331), we get a palindrome (16623032661).

The spelling of 13310031330 in words is "thirteen billion, three hundred ten million, thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 355 426 639 710 1065 1278 2130 3195 6390 2082947 4165894 6248841 10414735 12497682 18746523 20829470 31244205 37493046 62488410 93732615 147889237 187465230 295778474 443667711 739446185 887335422 1331003133 1478892370 2218338555 2662006266 4436677110 6655015665 13310031330