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13024200242031 = 3113371171135711
BaseRepresentation
bin1011110110000110111011…
…0101000011001101101111
31201010002201220112012101220
42331201232311003031233
53201342030230221111
643411122431434423
72512652552305026
oct275415665031557
951102656465356
1013024200242031
114171594550820
121564216385a13
1373623b5c4c64
143305360a78bd
15178bc902de06
hexbd86ed4336f

13024200242031 has 16 divisors (see below), whose sum is σ = 19000505791488. Its totient is φ = 7870031971200.

The previous prime is 13024200241993. The next prime is 13024200242047.

It is a happy number.

13024200242031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13024200242031 - 210 = 13024200241007 is a prime.

It is a super-2 number, since 2×130242002420312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13024200241992 and 13024200242010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13024200242231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 585556735 + ... + 585578976.

It is an arithmetic number, because the mean of its divisors is an integer number (1187531611968).

Almost surely, 213024200242031 is an apocalyptic number.

13024200242031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13024200242031 is a deficient number, since it is larger than the sum of its proper divisors (5976305549457).

13024200242031 is a wasteful number, since it uses less digits than its factorization.

13024200242031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171136062.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 13024200 and 242031, that added together give a palindrome (13266231).

The spelling of 13024200242031 in words is "thirteen trillion, twenty-four billion, two hundred million, two hundred forty-two thousand, thirty-one".

Divisors: 1 3 11 33 337 1011 3707 11121 1171135711 3513407133 12882492821 38647478463 394672734607 1184018203821 4341400080677 13024200242031