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20211231133233 = 32710914272062537
BaseRepresentation
bin1001001100001110010110…
…10000001000111000110001
32122120011201110002212120200
410212013023100020320301
510122120100132230413
6110552524510225413
74154133102024360
oct446071320107061
978504643085520
1020211231133233
116492598083928
1223250a44b5269
13b37bac39557a
144dc32bbb77d7
15250b19303573
hex1261cb408e31

20211231133233 has 48 divisors (see below), whose sum is σ = 33694280780160. Its totient is φ = 11435293594368.

The previous prime is 20211231133183. The next prime is 20211231133243. The reversal of 20211231133233 is 33233113211202.

20211231133233 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 12 + 311 + 332 + 3 + 3 = 666.

It is not a de Polignac number, because 20211231133233 - 214 = 20211231116849 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20211231133197 and 20211231133206.

It is not an unprimeable number, because it can be changed into a prime (20211231133243) 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, 8767941 + ... + 10830477.

It is an arithmetic number, because the mean of its divisors is an integer number (701964182920).

Almost surely, 220211231133233 is an apocalyptic number.

It is an amenable number.

20211231133233 is a deficient number, since it is larger than the sum of its proper divisors (13483049646927).

20211231133233 is a wasteful number, since it uses less digits than its factorization.

20211231133233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064086 (or 2064083 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 20211231133233 its reverse (33233113211202), we get a palindrome (53444344344435).

The spelling of 20211231133233 in words is "twenty trillion, two hundred eleven billion, two hundred thirty-one million, one hundred thirty-three thousand, two hundred thirty-three".

Divisors: 1 3 7 9 21 63 109 327 763 981 1427 2289 4281 6867 9989 12843 29967 89901 155543 466629 1088801 1399887 2062537 3266403 6187611 9799209 14437759 18562833 43313277 129939831 224816533 674449599 1573715731 2023348797 2943240299 4721147193 8829720897 14163441579 20602682093 26489162691 61808046279 185424138837 320813192591 962439577773 2245692348137 2887318733319 6737077044411 20211231133233