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2032120421331 = 3711132329421599
BaseRepresentation
bin11101100100100011110…
…100001101101111010011
321012021020222002022120120
4131210203310031233103
5231243240311440311
64153313201041323
7266546560403220
oct35444364155723
97167228068516
102032120421331
117138aa000840
12289a09026243
13119822017440
14704d877c947
1537cd7d54706
hex1d923d0dbd3

2032120421331 has 64 divisors (see below), whose sum is σ = 3796092518400. Its totient is φ = 932076224640.

The previous prime is 2032120421329. The next prime is 2032120421363. The reversal of 2032120421331 is 1331240212302.

It is not a de Polignac number, because 2032120421331 - 21 = 2032120421329 is a prime.

It is a super-2 number, since 2×20321204213312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2032120421731) 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, 14641731 + ... + 14779868.

It is an arithmetic number, because the mean of its divisors is an integer number (59313945600).

Almost surely, 22032120421331 is an apocalyptic number.

2032120421331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2032120421331 is a deficient number, since it is larger than the sum of its proper divisors (1763972097069).

2032120421331 is a wasteful number, since it uses less digits than its factorization.

2032120421331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29421656.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2032120421331 its reverse (1331240212302), we get a palindrome (3363360633633).

The spelling of 2032120421331 in words is "two trillion, thirty-two billion, one hundred twenty million, four hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 7 11 13 21 23 33 39 69 77 91 143 161 231 253 273 299 429 483 759 897 1001 1771 2093 3003 3289 5313 6279 9867 23023 69069 29421599 88264797 205951193 323637589 382480787 617853579 676696777 970912767 1147442361 2030090331 2265463123 2677365509 4207288657 4736877439 6796389369 7443664547 8032096527 8797058101 12621865971 14210632317 22330993641 26391174303 29451020599 52105651829 61579406707 88353061797 96767639111 156316955487 184738220121 290302917333 677373473777 2032120421331