Search a number
-
+
33300240012 = 223213376118919
BaseRepresentation
bin11111000000110110…
…010101011010001100
310011221202021110120200
4133000312111122030
51021144330140022
623144203413500
72256132240564
oct370066253214
9104852243520
1033300240012
1113139132216
126554224290
1331a902c740
14187c887da4
15ced727bac
hex7c0d9568c

33300240012 has 72 divisors (see below), whose sum is σ = 90679548960. Its totient is φ = 10242961920.

The previous prime is 33300240011. The next prime is 33300240023. The reversal of 33300240012 is 21004200333.

It is a super-2 number, since 2×333002400122 (a number of 22 digits) contains 22 as substring.

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 (33300240011) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1750689 + ... + 1769607.

It is an arithmetic number, because the mean of its divisors is an integer number (1259438180).

Almost surely, 233300240012 is an apocalyptic number.

It is an amenable number.

33300240012 is an abundant number, since it is smaller than the sum of its proper divisors (57379308948).

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

33300240012 is a wasteful number, since it uses less digits than its factorization.

33300240012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22703 (or 22698 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 33300240012 its reverse (21004200333), we get a palindrome (54304440345).

The spelling of 33300240012 in words is "thirty-three billion, three hundred million, two hundred forty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 3761 7522 11283 15044 18919 22566 33849 37838 45132 48893 56757 67698 75676 97786 113514 135396 146679 170271 195572 227028 245947 293358 340542 440037 491894 586716 681084 737841 880074 983788 1475682 1760148 2213523 2951364 4427046 8854092 71154359 142308718 213463077 284617436 426926154 640389231 853852308 925006667 1280778462 1850013334 2561556924 2775020001 3700026668 5550040002 8325060003 11100080004 16650120006 33300240012