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21113211403431 = 327406998234363
BaseRepresentation
bin1001100110011110011010…
…11101110011110010100111
32202202101220000010002211200
410303033031131303302213
510231404324104402211
6112523135253533543
74306244026564410
oct463171535636247
982671800102750
1021113211403431
116800076464a64
12244ba6b9442b3
13ba1c761ab594
1452dc561a0807
1526930a5e6b56
hex1333cd773ca7

21113211403431 has 24 divisors (see below), whose sum is σ = 34854415939200. Its totient is φ = 12064394328336.

The previous prime is 21113211403429. The next prime is 21113211403451. The reversal of 21113211403431 is 13430411231112.

21113211403431 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 3 + 211 + 403 + 43 + 1 = 666.

It is not a de Polignac number, because 21113211403431 - 21 = 21113211403429 is a prime.

It is a super-2 number, since 2×211132114034312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21113211403395 and 21113211403404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21113211403421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1553145 + ... + 6681218.

It is an arithmetic number, because the mean of its divisors is an integer number (1452267330800).

Almost surely, 221113211403431 is an apocalyptic number.

21113211403431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21113211403431 is a deficient number, since it is larger than the sum of its proper divisors (13741204535769).

21113211403431 is a wasteful number, since it uses less digits than its factorization.

21113211403431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8275075 (or 8275072 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 21113211403431 its reverse (13430411231112), we get a palindrome (34543622634543).

The spelling of 21113211403431 in words is "twenty-one trillion, one hundred thirteen billion, two hundred eleven million, four hundred three thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 63 40699 122097 284893 366291 854679 2564037 8234363 24703089 57640541 74109267 172921623 518764869 335130339737 1005391019211 2345912378159 3016173057633 7037737134477 21113211403431