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13233033013221 = 34723334097509
BaseRepresentation
bin1100000010010000111000…
…1110110110011111100101
31201212001202211020011010000
43000210032032312133211
53213302222422410341
644051101010451513
72534024615465400
oct300441616663745
951761684204100
1013233033013221
11424210917371a
121598797b93b99
1374cb3c842558
1433a6a72acd37
1517e34cb4a8b6
hexc090e3b67e5

13233033013221 has 30 divisors (see below), whose sum is σ = 22995270526470. Its totient is φ = 7561733148144.

The previous prime is 13233033013147. The next prime is 13233033013223. The reversal of 13233033013221 is 12231033033231.

13233033013221 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 3 + 0 + 330 + 1 + 322 + 1 = 666.

13233033013221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12883971830625 + 349061182596 = 3589425^2 + 590814^2 .

It is not a de Polignac number, because 13233033013221 - 27 = 13233033013093 is a prime.

It is a super-2 number, since 2×132330330132212 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13233033013223) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1667044786 + ... + 1667052723.

It is an arithmetic number, because the mean of its divisors is an integer number (766509017549).

Almost surely, 213233033013221 is an apocalyptic number.

It is an amenable number.

13233033013221 is a deficient number, since it is larger than the sum of its proper divisors (9762237513249).

13233033013221 is an equidigital number, since it uses as much as digits as its factorization.

13233033013221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334097535 (or 3334097519 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13233033013221 its reverse (12231033033231), we get a palindrome (25464066046452).

The spelling of 13233033013221 in words is "thirteen trillion, two hundred thirty-three billion, thirty-three million, thirteen thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 3334097509 10002292527 23338682563 30006877581 70016047689 90020632743 163370777941 210048143067 270061898229 490112333823 630144429201 1470337001469 1890433287603 4411011004407 13233033013221