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1214112141 = 321119719091
BaseRepresentation
bin100100001011101…
…1110000110001101
310010121120021202100
41020113132012031
54441303042031
6320250345313
742041532354
oct11027360615
93117507670
101214112141
11573375470
1229a72b239
131646c5968
14b736499b
15718c6de6
hex485de18d

1214112141 has 48 divisors (see below), whose sum is σ = 2042426880. Its totient is φ = 687204000.

The previous prime is 1214112139. The next prime is 1214112157. The reversal of 1214112141 is 1412114121.

It is not a de Polignac number, because 1214112141 - 21 = 1214112139 is a prime.

It is a super-4 number, since 4×12141121414 (a number of 37 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214111141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129006 + ... + 138096.

It is an arithmetic number, because the mean of its divisors is an integer number (42550560).

Almost surely, 21214112141 is an apocalyptic number.

1214112141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1214112141 is a deficient number, since it is larger than the sum of its proper divisors (828314739).

1214112141 is a wasteful number, since it uses less digits than its factorization.

1214112141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9198 (or 9195 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

The square root of 1214112141 is about 34844.1119990164. Note that the first 3 decimals coincide. The cubic root of 1214112141 is about 1066.8080086899.

Adding to 1214112141 its reverse (1412114121), we get a palindrome (2626226262).

The spelling of 1214112141 in words is "one billion, two hundred fourteen million, one hundred twelve thousand, one hundred forty-one".

Divisors: 1 3 9 11 19 33 57 71 99 171 209 213 627 639 781 1349 1881 2343 4047 7029 9091 12141 14839 27273 44517 81819 100001 133551 172729 300003 518187 645461 900009 1554561 1900019 1936383 5700057 5809149 7100071 12263759 17100171 21300213 36791277 63900639 110373831 134901349 404704047 1214112141