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13413040141122 = 2369199616009
BaseRepresentation
bin1100001100101111011101…
…1111100011001101000010
31202111021101211101201000000
43003023313133203031002
53224224401234003442
644305510544140430
72553026432023506
oct303136737431502
952437354351000
1013413040141122
114301490534126
121607654007716
13763ac8ab129b
143452a2002306
15183d85cb0d4c
hexc32f77e3342

13413040141122 has 28 divisors (see below), whose sum is σ = 30165540896790. Its totient is φ = 4471013379888.

The previous prime is 13413040141093. The next prime is 13413040141129. The reversal of 13413040141122 is 22114104031431.

It is a happy number.

13413040141122 is a `hidden beast` number, since 1 + 3 + 4 + 130 + 401 + 4 + 1 + 122 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8230810985721 + 5182229155401 = 2868939^2 + 2276451^2 .

It is a super-3 number, since 3×134130401411223 (a number of 40 digits) contains 333 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 (13413040141129) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 4599806547 + ... + 4599809462.

Almost surely, 213413040141122 is an apocalyptic number.

13413040141122 is an abundant number, since it is smaller than the sum of its proper divisors (16752500755668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13413040141122 is an frugal number, since it uses more digits than its factorization.

13413040141122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9199616029 (or 9199616014 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 13413040141122 its reverse (22114104031431), we get a palindrome (35527144172553).

The spelling of 13413040141122 in words is "thirteen trillion, four hundred thirteen billion, forty million, one hundred forty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 9199616009 18399232018 27598848027 55197696054 82796544081 165593088162 248389632243 496779264486 745168896729 1490337793458 2235506690187 4471013380374 6706520070561 13413040141122