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13410022001431 = 112509512175161
BaseRepresentation
bin1100001100100100001110…
…0110010000101100010111
31202110222121111020022200111
43003021003212100230113
53224202211113021211
644304251251023451
72552561563200436
oct303110346205427
952428544208614
1013410022001431
114300181904100
121606b5129ab87
13763737718303
1434509723711d
15183c5ad37421
hexc3243990b17

13410022001431 has 12 divisors (see below), whose sum is σ = 14740237611792. Its totient is φ = 12190684220000.

The previous prime is 13410022001393. The next prime is 13410022001443.

13410022001431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13410022001431 - 217 = 13410021870359 is a prime.

It is a super-2 number, since 2×134100220014312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13410022005431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5077491 + ... + 7252651.

It is an arithmetic number, because the mean of its divisors is an integer number (1228353134316).

Almost surely, 213410022001431 is an apocalyptic number.

13410022001431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13410022001431 is a deficient number, since it is larger than the sum of its proper divisors (1330215610361).

13410022001431 is a wasteful number, since it uses less digits than its factorization.

13410022001431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226134 (or 2226123 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 1341002 and 2001431, that added together give a palindrome (3342433).

The spelling of 13410022001431 in words is "thirteen trillion, four hundred ten billion, twenty-two million, one thousand, four hundred thirty-one".

Divisors: 1 11 121 50951 560461 2175161 6165071 23926771 263194481 110826628111 1219092909221 13410022001431