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11253416131331 = 1147101839213737
BaseRepresentation
bin1010001111000010001111…
…0111101111101100000011
31110211211000220210222122022
42203300203313233230003
52433333444012200311
635533425322432055
72241014066564543
oct243604367575403
943754026728568
1011253416131331
1136496020371a0
121318ba236262b
1363826716631a
142ac94d953323
15147ad93655db
hexa3c23defb03

11253416131331 has 16 divisors (see below), whose sum is σ = 12537836881920. Its totient is φ = 10012565513280.

The previous prime is 11253416131327. The next prime is 11253416131381. The reversal of 11253416131331 is 13313161435211.

It is not a de Polignac number, because 11253416131331 - 22 = 11253416131327 is a prime.

It is a super-2 number, since 2×112534161313312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11253416131291 and 11253416131300.

It is not an unprimeable number, because it can be changed into a prime (11253416131381) 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, 52543895 + ... + 52757631.

It is an arithmetic number, because the mean of its divisors is an integer number (783614805120).

Almost surely, 211253416131331 is an apocalyptic number.

11253416131331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11253416131331 is a deficient number, since it is larger than the sum of its proper divisors (1284420750589).

11253416131331 is a wasteful number, since it uses less digits than its factorization.

11253416131331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315634.

The product of its digits is 19440, while the sum is 35.

Adding to 11253416131331 its reverse (13313161435211), we get a palindrome (24566577566542).

The spelling of 11253416131331 in words is "eleven trillion, two hundred fifty-three billion, four hundred sixteen million, one hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 11 47 517 101839 213737 1120229 2351107 4786433 10045639 52650763 110502029 21766762343 239434385773 1023037830121 11253416131331