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12402324113431 = 729313832751421
BaseRepresentation
bin1011010001111010010000…
…0111111000100000010111
31121220122120021212200001111
42310132210013320200113
53111144424433112211
642213314332035451
72420016103365310
oct264364407704027
947818507780044
1012402324113431
113a518836a7aaa
1214837a1302b87
136bc6c3696875
1430c3c06c9607
1516792d8a0421
hexb47a41f8817

12402324113431 has 32 divisors (see below), whose sum is σ = 15136530554880. Its totient is φ = 9932443516800.

The previous prime is 12402324113401. The next prime is 12402324113477. The reversal of 12402324113431 is 13431142320421.

It is a happy number.

It is not a de Polignac number, because 12402324113431 - 27 = 12402324113303 is a prime.

It is a super-2 number, since 2×124023241134312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 12402324113393 and 12402324113402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12402324113401) 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, 241166101 + ... + 241217521.

It is an arithmetic number, because the mean of its divisors is an integer number (473016579840).

Almost surely, 212402324113431 is an apocalyptic number.

12402324113431 is a deficient number, since it is larger than the sum of its proper divisors (2734206441449).

12402324113431 is a wasteful number, since it uses less digits than its factorization.

12402324113431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89815.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 12402324113431 its reverse (13431142320421), we get a palindrome (25833466433852).

The spelling of 12402324113431 in words is "twelve trillion, four hundred two billion, three hundred twenty-four million, one hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 7 29 31 203 217 899 6293 38327 51421 268289 359947 1111483 1188137 1491209 1594051 7780381 8316959 10438463 11158357 34455973 46227479 241191811 323592353 1970812667 13795688669 57153567343 61095192677 400074971401 427666348739 1771760587633 12402324113431