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233223300013 = 11198964719379
BaseRepresentation
bin1101100100110100110…
…0010010001110101101
3211021222201210012020111
43121031030102032231
512310120131100023
6255050304420021
722564330224664
oct3311514221655
9737881705214
10233223300013
118aa00522240
123924a017611
1318cba420292
14b40665bddb
15610005000d
hex364d3123ad

233223300013 has 32 divisors (see below), whose sum is σ = 271257984000. Its totient is φ = 198288097920.

The previous prime is 233223300001. The next prime is 233223300049. The reversal of 233223300013 is 310003322332.

233223300013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-233223300013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233223300413) 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 31 ways as a sum of consecutive naturals, for example, 12025158 + ... + 12044536.

It is an arithmetic number, because the mean of its divisors is an integer number (8476812000).

Almost surely, 2233223300013 is an apocalyptic number.

It is an amenable number.

233223300013 is a deficient number, since it is larger than the sum of its proper divisors (38034683987).

233223300013 is a wasteful number, since it uses less digits than its factorization.

233223300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20145.

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 233223300013 its reverse (310003322332), we get a palindrome (543226622345).

The spelling of 233223300013 in words is "two hundred thirty-three billion, two hundred twenty-three million, three hundred thousand, thirteen".

Divisors: 1 11 19 89 209 647 979 1691 7117 12293 18601 19379 57583 135223 213169 368201 633413 1094077 1724731 4050211 12034847 12538213 18972041 32769889 137920343 238226047 360468779 1115900957 2620486517 12274910527 21202118183 233223300013