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2114132232141 = 33202938591027
BaseRepresentation
bin11110110000111100000…
…110011100011111001101
321111002221111202222012000
4132300330012130133031
5234114220322412031
64255115142502513
7305512111320366
oct36607406343715
97432844688160
102114132232141
11745664591086
122a1896734a39
13124491ba0447
14744787a8b6d
1539ed7c6a3e6
hex1ec3c19c7cd

2114132232141 has 16 divisors (see below), whose sum is σ = 3133591473600. Its totient is φ = 1408726813104.

The previous prime is 2114132232097. The next prime is 2114132232151. The reversal of 2114132232141 is 1412322314112.

2114132232141 is a `hidden beast` number, since 2 + 1 + 1 + 413 + 2 + 232 + 14 + 1 = 666.

It is not a de Polignac number, because 2114132232141 - 226 = 2114065123277 is a prime.

It is a super-2 number, since 2×21141322321412 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114132232151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19240731 + ... + 19350296.

It is an arithmetic number, because the mean of its divisors is an integer number (195849467100).

Almost surely, 22114132232141 is an apocalyptic number.

It is an amenable number.

2114132232141 is a deficient number, since it is larger than the sum of its proper divisors (1019459241459).

2114132232141 is a wasteful number, since it uses less digits than its factorization.

2114132232141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38593065 (or 38593059 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 2114132232141 its reverse (1412322314112), we get a palindrome (3526454546253).

The spelling of 2114132232141 in words is "two trillion, one hundred fourteen billion, one hundred thirty-two million, two hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 3 9 27 2029 6087 18261 54783 38591027 115773081 347319243 1041957729 78301193783 234903581349 704710744047 2114132232141