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13214443141141 = 1117838389101489
BaseRepresentation
bin1100000001001011101000…
…1100000111100000010101
31201210021210021002210201021
43000102322030013200111
53213001134421004031
644034344213201141
72532466135255534
oct300227214074025
951707707083637
1013214443141141
114235239720680
12159506a3301b1
1374b169351248
143398223b431b
1517db10ac5511
hexc04ba307815

13214443141141 has 32 divisors (see below), whose sum is σ = 15449635958400. Its totient is φ = 11168811233280.

The previous prime is 13214443141139. The next prime is 13214443141153. The reversal of 13214443141141 is 14114134441231.

It is a cyclic number.

It is not a de Polignac number, because 13214443141141 - 21 = 13214443141139 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13214443141097 and 13214443141106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13214443141111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130154925 + ... + 130256413.

It is an arithmetic number, because the mean of its divisors is an integer number (482801123700).

Almost surely, 213214443141141 is an apocalyptic number.

13214443141141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13214443141141 is a deficient number, since it is larger than the sum of its proper divisors (2235192817259).

13214443141141 is a wasteful number, since it uses less digits than its factorization.

13214443141141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109989.

The product of its digits is 18432, while the sum is 34.

Adding to 13214443141141 its reverse (14114134441231), we get a palindrome (27328577582372).

The spelling of 13214443141141 in words is "thirteen trillion, two hundred fourteen billion, four hundred forty-three million, one hundred forty-one thousand, one hundred forty-one".

Divisors: 1 11 17 83 187 913 1411 8389 15521 92279 101489 142613 696287 1116379 1568743 1725313 7659157 8423587 11836879 18978443 92659457 130205669 143200979 851391221 1575210769 9365303431 14473650757 70665471343 159210158327 777320184773 1201313012831 13214443141141