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2021114132433 = 331128343575519
BaseRepresentation
bin11101011010010011110…
…010100011011111010001
321011012211220210220121000
4131122103302203133101
5231103220204214213
64144253110052213
7266010043445334
oct35322362433721
97135756726530
102021114132433
1170a171268010
1228785704a069
131187899ca466
146db72b1261b
1537891971c73
hex1d693ca37d1

2021114132433 has 64 divisors (see below), whose sum is σ = 3279335731200. Its totient is φ = 1220088070080.

The previous prime is 2021114132419. The next prime is 2021114132447. The reversal of 2021114132433 is 3342314111202.

2021114132433 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 1 + 1 + 413 + 243 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (2021114132419) and next prime (2021114132447).

It is not a de Polignac number, because 2021114132433 - 221 = 2021112035281 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 2021114132397 and 2021114132406.

It is not an unprimeable number, because it can be changed into a prime (2021114132333) 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 63 ways as a sum of consecutive naturals, for example, 366207448 + ... + 366212966.

It is an arithmetic number, because the mean of its divisors is an integer number (51239620800).

Almost surely, 22021114132433 is an apocalyptic number.

It is an amenable number.

2021114132433 is a deficient number, since it is larger than the sum of its proper divisors (1258221598767).

2021114132433 is a wasteful number, since it uses less digits than its factorization.

2021114132433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10179 (or 10173 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 2021114132433 its reverse (3342314111202), we get a palindrome (5363428243635).

It can be divided in two parts, 20211 and 14132433, that added together give a square (14152644 = 37622).

The spelling of 2021114132433 in words is "two trillion, twenty-one billion, one hundred fourteen million, one hundred thirty-two thousand, four hundred thirty-three".

Divisors: 1 3 9 11 27 33 99 283 297 849 2547 3113 4357 5519 7641 9339 13071 16557 28017 39213 47927 49671 60709 84051 117639 143781 149013 182127 431343 546381 1233031 1294029 1561877 1639143 3699093 4685631 11097279 13563341 14056893 17180647 24046283 33291837 40690023 42170679 51541941 72138849 122070069 154625823 216416547 264509113 366210207 463877469 649249641 793527339 2380582017 6805098089 7141746051 20415294267 61245882801 74856078979 183737648403 224568236937 673704710811 2021114132433