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20123231133033 = 337191678182207
BaseRepresentation
bin1001001001101010011100…
…00010110001110101101001
32122020202120120120200102000
410210311032002301311221
510114144334132224113
6110444252413001213
74144566266252130
oct444651602616551
978222516520360
1020123231133033
11645923a3aa236
122310025483209
13b2c7c6a1a532
144d7d80774917
1524d6b8839373
hex124d4e0b1d69

20123231133033 has 64 divisors (see below), whose sum is σ = 34254929264640. Its totient is φ = 11436959073600.

The previous prime is 20123231133029. The next prime is 20123231133067. The reversal of 20123231133033 is 33033113232102.

20123231133033 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 323 + 1 + 1 + 330 + 3 + 3 = 666.

It is not a de Polignac number, because 20123231133033 - 22 = 20123231133029 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 = 20123231132988 and 20123231133006.

It is not an unprimeable number, because it can be changed into a prime (20123231133833) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 244746216 + ... + 244828422.

It is an arithmetic number, because the mean of its divisors is an integer number (535233269760).

Almost surely, 220123231133033 is an apocalyptic number.

It is an amenable number.

20123231133033 is a deficient number, since it is larger than the sum of its proper divisors (14131698131607).

20123231133033 is a wasteful number, since it uses less digits than its factorization.

20123231133033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89195 (or 89189 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 20123231133033 its reverse (33033113232102), we get a palindrome (53156344365135).

The spelling of 20123231133033 in words is "twenty trillion, one hundred twenty-three billion, two hundred thirty-one million, one hundred thirty-three thousand, thirty-three".

Divisors: 1 3 7 9 21 27 63 189 191 573 1337 1719 4011 5157 6781 12033 20343 36099 47467 61029 82207 142401 183087 246621 427203 575449 739863 1281609 1295171 1726347 2219589 3885513 5179041 9066197 11656539 15537123 15701537 27198591 34969617 47104611 81595773 109910759 141313833 244787319 329732277 423941499 557445667 989196831 1672337001 2967590493 3902119669 5017011003 11706359007 15051033009 35119077021 105357231063 106472122397 319416367191 745304856779 958249101573 2235914570337 2874747304719 6707743711011 20123231133033