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13100023321 = 711721923567
BaseRepresentation
bin11000011001101001…
…00111111000011001
31020210222000010122221
430030310213320121
5203312101221241
610003522544041
7642426234550
oct141464477031
936728003587
1013100023321
115612692460
122657208021
13130a022cb8
148c3b64d97
1551a10d5d1
hex30cd27e19

13100023321 has 16 divisors (see below), whose sum is σ = 16335452160. Its totient is φ = 10205963280.

The previous prime is 13100023291. The next prime is 13100023327. The reversal of 13100023321 is 12332000131.

13100023321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13100023321 - 27 = 13100023193 is a prime.

It is a super-2 number, since 2×131000233212 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13100023295 and 13100023304.

It is not an unprimeable number, because it can be changed into a prime (13100023327) 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 15 ways as a sum of consecutive naturals, for example, 544080 + ... + 567646.

It is an arithmetic number, because the mean of its divisors is an integer number (1020965760).

Almost surely, 213100023321 is an apocalyptic number.

13100023321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13100023321 is a deficient number, since it is larger than the sum of its proper divisors (3235428839).

13100023321 is a wasteful number, since it uses less digits than its factorization.

13100023321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30804.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13100023321 its reverse (12332000131), we get a palindrome (25432023452).

The spelling of 13100023321 in words is "thirteen billion, one hundred million, twenty-three thousand, three hundred twenty-one".

Divisors: 1 7 11 77 7219 23567 50533 79409 164969 259237 555863 1814659 170130173 1190911211 1871431903 13100023321