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20133320031 = 32111789139967
BaseRepresentation
bin10010110000000010…
…100001010101011111
31220222010101121221200
4102300002201111133
5312213112220111
613125450530543
71311631253016
oct226002412537
956863347850
1020133320031
1185a1809370
123a9a736a53
131b8b1b6626
14d8dcaba7d
157cc803256
hex4b00a155f

20133320031 has 96 divisors (see below), whose sum is σ = 34248614400. Its totient is φ = 11261859840.

The previous prime is 20133320023. The next prime is 20133320059. The reversal of 20133320031 is 13002333102.

It is not a de Polignac number, because 20133320031 - 23 = 20133320023 is a prime.

It is a super-2 number, since 2×201333200312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20133319986 and 20133320013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20133320021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20819910 + ... + 20820876.

It is an arithmetic number, because the mean of its divisors is an integer number (356756400).

Almost surely, 220133320031 is an apocalyptic number.

20133320031 is a deficient number, since it is larger than the sum of its proper divisors (14115294369).

20133320031 is a wasteful number, since it uses less digits than its factorization.

20133320031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 20133320031 its reverse (13002333102), we get a palindrome (33135653133).

The spelling of 20133320031 in words is "twenty billion, one hundred thirty-three million, three hundred twenty thousand, thirty-one".

Divisors: 1 3 9 11 17 33 51 89 99 139 153 187 267 417 561 801 967 979 1251 1513 1529 1683 2363 2901 2937 4539 4587 7089 8703 8811 10637 12371 13617 13761 16439 16643 21267 25993 31911 37113 49317 49929 77979 86063 95733 111339 134413 136081 147951 149787 180829 210307 233937 258189 403239 408243 542487 630921 774567 946693 1209717 1224729 1463071 1478543 1627461 1892763 2285021 2313377 2840079 4389213 4435629 6855063 6940131 8520237 11962757 13167639 13306887 16093781 20565189 20820393 25135231 35888271 48281343 75405693 107664813 131590327 144844029 203366869 226217079 394770981 610100607 1184312943 1830301821 2237035559 6711106677 20133320031