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20211231004002 = 2322938718833341
BaseRepresentation
bin1001001100001110010110…
…01111101001010101100010
32122120011201102212022022100
410212013023033221111202
510122120100114112002
6110552524503351230
74154133100645533
oct446071317512542
978504642768270
1020211231004002
116492597aa5825
1223250a4452516
13b37bac34b7bc
144dc32bb8268a
15250b192ca11c
hex1261cb3e9562

20211231004002 has 24 divisors (see below), whose sum is σ = 45301035010140. Its totient is φ = 6504764001120.

The previous prime is 20211231003961. The next prime is 20211231004007. The reversal of 20211231004002 is 20040013211202.

It is a happy number.

20211231004002 is a `hidden beast` number, since 20 + 2 + 11 + 231 + 0 + 0 + 400 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19104146147241 + 1107084856761 = 4370829^2 + 1052181^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20211231004007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19359416149 + ... + 19359417192.

Almost surely, 220211231004002 is an apocalyptic number.

20211231004002 is an abundant number, since it is smaller than the sum of its proper divisors (25089804006138).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20211231004002 is a wasteful number, since it uses less digits than its factorization.

20211231004002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38718833378 (or 38718833375 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20211231004002 its reverse (20040013211202), we get a palindrome (40251244215204).

The spelling of 20211231004002 in words is "twenty trillion, two hundred eleven billion, two hundred thirty-one million, four thousand, two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 38718833341 77437666682 116156500023 232313000046 348469500069 696939000138 1122846166889 2245692333778 3368538500667 6737077001334 10105615502001 20211231004002