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13121032031223 = 329495473043907
BaseRepresentation
bin1011111011101111101001…
…1101000000101111110111
31201110100200021121202110120
42332323322131000233313
53204433333144444343
643523415141023023
72522651256033234
oct276737235005767
951410607552416
1013121032031223
1141a9664576186
12157ab3b0b4a73
1374240091633c
143350c045678b
1517b495049683
hexbeefa740bf7

13121032031223 has 16 divisors (see below), whose sum is σ = 18098346430080. Its totient is φ = 8445548533856.

The previous prime is 13121032031197. The next prime is 13121032031269. The reversal of 13121032031223 is 32213023012131.

It is a cyclic number.

It is not a de Polignac number, because 13121032031223 - 210 = 13121032030199 is a prime.

It is a super-3 number, since 3×131210320312233 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 13121032031193 and 13121032031202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121032039223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2788636 + ... + 5832542.

It is an arithmetic number, because the mean of its divisors is an integer number (1131146651880).

Almost surely, 213121032031223 is an apocalyptic number.

13121032031223 is a deficient number, since it is larger than the sum of its proper divisors (4977314398857).

13121032031223 is a wasteful number, since it uses less digits than its factorization.

13121032031223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093486.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13121032031223 its reverse (32213023012131), we get a palindrome (45334055043354).

The spelling of 13121032031223 in words is "thirteen trillion, one hundred twenty-one billion, thirty-two million, thirty-one thousand, two hundred twenty-three".

Divisors: 1 3 29 87 49547 148641 1436863 3043907 4310589 9131721 88273303 264819909 150816460129 452449380387 4373677343741 13121032031223