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10023201334323 = 333892796734123
BaseRepresentation
bin1001000111011011010101…
…0110101110010000110011
31022111012122010122011012000
42101312311112232100303
52303210004020144243
633152332314105043
72053103162416362
oct221666526562063
938435563564160
1010023201334323
1132148a7937991
12115a691a1b183
13579250b4b108
142691a86697d9
15125ad6c725d3
hex91db55ae433

10023201334323 has 32 divisors (see below), whose sum is σ = 14888328499200. Its totient is φ = 6664522870368.

The previous prime is 10023201334261. The next prime is 10023201334339. The reversal of 10023201334323 is 32343310232001.

10023201334323 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 3 + 2 + 0 + 1 + 334 + 323 = 666.

It is not a de Polignac number, because 10023201334323 - 26 = 10023201334259 is a prime.

It is a super-4 number, since 4×100232013343234 (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10023201338323) 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, 293720340 + ... + 293754462.

It is an arithmetic number, because the mean of its divisors is an integer number (465260265600).

Almost surely, 210023201334323 is an apocalyptic number.

10023201334323 is a deficient number, since it is larger than the sum of its proper divisors (4865127164877).

10023201334323 is a wasteful number, since it uses less digits than its factorization.

10023201334323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62488 (or 62482 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 10023201334323 its reverse (32343310232001), we get a palindrome (42366511566324).

The spelling of 10023201334323 in words is "ten trillion, twenty-three billion, two hundred one million, three hundred thirty-four thousand, three hundred twenty-three".

Divisors: 1 3 9 27 389 1167 3501 10503 27967 34123 83901 102369 251703 307107 755109 921321 10879163 13273847 32637489 39821541 97912467 119464623 293737401 358393869 954317941 2862953823 8588861469 25766584407 371229679049 1113689037147 3341067111441 10023201334323