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13311214120233 = 3717335182183
BaseRepresentation
bin1100000110110100001000…
…1100000110110100101001
31202010112120101202220000000
43001231002030012310221
53221042331303321413
644151030511133213
72542463203104111
oct301550214066451
952115511686000
1013311214120233
114272288391557
1215ab976814209
1375731bba0a13
143403a2654041
151813c65cd073
hexc1b42306d29

13311214120233 has 32 divisors (see below), whose sum is σ = 20079176052480. Its totient is φ = 8822846873232.

The previous prime is 13311214120213. The next prime is 13311214120261. The reversal of 13311214120233 is 33202141211331.

13311214120233 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 12 + 1 + 412 + 0 + 233 = 666.

It is a de Polignac number, because none of the positive numbers 2k-13311214120233 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 13311214120197 and 13311214120206.

It is not an unprimeable number, because it can be changed into a prime (13311214120213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17212741 + ... + 17969442.

It is an arithmetic number, because the mean of its divisors is an integer number (627474251640).

Almost surely, 213311214120233 is an apocalyptic number.

It is an amenable number.

13311214120233 is a deficient number, since it is larger than the sum of its proper divisors (6767961932247).

13311214120233 is an frugal number, since it uses more digits than its factorization.

13311214120233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35182377 (or 35182359 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13311214120233 its reverse (33202141211331), we get a palindrome (46513355331564).

The spelling of 13311214120233 in words is "thirteen trillion, three hundred eleven billion, two hundred fourteen million, one hundred twenty thousand, two hundred thirty-three".

Divisors: 1 3 9 27 81 173 243 519 729 1557 2187 4671 14013 42039 126117 378351 35182183 105546549 316639647 949918941 2849756823 6086517659 8549270469 18259552977 25647811407 54778658931 76943434221 164335976793 493007930379 1479023791137 4437071373411 13311214120233