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123013223333 = 71113592082887
BaseRepresentation
bin111001010010000101…
…0001101001110100101
3102202112000002012211122
41302210022031032211
54003412341121313
6132302252143325
711613245101040
oct1624412151645
9382460065748
10123013223333
1148195837440
121ba10a67b45
13b7a554b660
145d4d5d1c57
1532ee7ac708
hex1ca428d3a5

123013223333 has 32 divisors (see below), whose sum is σ = 167964088320. Its totient is φ = 86981319360.

The previous prime is 123013223329. The next prime is 123013223339. The reversal of 123013223333 is 333322310321.

It is a happy number.

It is not a de Polignac number, because 123013223333 - 22 = 123013223329 is a prime.

It is a super-4 number, since 4×1230132233334 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123013223339) 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 31 ways as a sum of consecutive naturals, for example, 982385 + ... + 1100502.

It is an arithmetic number, because the mean of its divisors is an integer number (5248877760).

Almost surely, 2123013223333 is an apocalyptic number.

123013223333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

123013223333 is a deficient number, since it is larger than the sum of its proper divisors (44950864987).

123013223333 is a wasteful number, since it uses less digits than its factorization.

123013223333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082977.

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 123013223333 its reverse (333322310321), we get a palindrome (456335533654).

The spelling of 123013223333 in words is "one hundred twenty-three billion, thirteen million, two hundred twenty-three thousand, three hundred thirty-three".

Divisors: 1 7 11 13 59 77 91 143 413 649 767 1001 4543 5369 8437 59059 2082887 14580209 22911757 27077531 122890333 160382299 189542717 297852841 860232331 1351793663 1597574329 2084969887 9462555641 11183020303 17573317619 123013223333