Search a number
-
+
12333300202002 = 23131613229342751
BaseRepresentation
bin1011001101111001000111…
…1110100011101000010010
31121200001101220012122222110
42303132101332203220102
53104032044322431002
642121501230050150
72412023451000033
oct263362176435022
947601356178873
1012333300202002
113a255834877aa
121472339349956
136b6043536820
14308d13598a8a
15165c3dceae6c
hexb3791fa3a12

12333300202002 has 64 divisors (see below), whose sum is σ = 26592713957376. Its totient is φ = 3790766304000.

The previous prime is 12333300202001. The next prime is 12333300202007. The reversal of 12333300202002 is 20020200333321.

It is a super-2 number, since 2×123333002020022 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12333300202002.

It is not an unprimeable number, because it can be changed into a prime (12333300202001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288470127 + ... + 288512877.

It is an arithmetic number, because the mean of its divisors is an integer number (415511155584).

Almost surely, 212333300202002 is an apocalyptic number.

12333300202002 is an abundant number, since it is smaller than the sum of its proper divisors (14259413755374).

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

12333300202002 is a wasteful number, since it uses less digits than its factorization.

12333300202002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46675.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 12333300202002 its reverse (20020200333321), we get a palindrome (32353500535323).

The spelling of 12333300202002 in words is "twelve trillion, three hundred thirty-three billion, three hundred million, two hundred two thousand, two".

Divisors: 1 2 3 6 13 26 39 78 1613 2293 3226 4586 4839 6879 9678 13758 20969 29809 41938 42751 59618 62907 85502 89427 125814 128253 178854 256506 555763 1111526 1667289 3334578 3698609 7397218 11095827 22191654 48081917 68957363 96163834 98028043 137914726 144245751 196056086 206872089 288491502 294084129 413744178 588168258 896445719 1274364559 1792891438 2548729118 2689337157 3823093677 5378674314 7646187354 158119233359 316238466718 474357700077 948715400154 2055550033667 4111100067334 6166650101001 12333300202002