Search a number
-
+
10202133222033 = 31719531911040059
BaseRepresentation
bin1001010001110101111010…
…0001101101001010010001
31100010022111012112211211020
42110131132201231022101
52314122432101101113
633410443441310053
72102036241363444
oct224353641551221
940108435484736
1010202133222033
113283778264535
1211892a9935329
135900983c7c4c
14273b0066765b
1512a5aa7e3023
hex9475e86d291

10202133222033 has 64 divisors (see below), whose sum is σ = 15528012595200. Its totient is φ = 5918845271040.

The previous prime is 10202133222023. The next prime is 10202133222059. The reversal of 10202133222033 is 33022233120201.

It is not a de Polignac number, because 10202133222033 - 222 = 10202129027729 is a prime.

It is a super-3 number, since 3×102021332220333 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10202133221994 and 10202133222012.

It is not an unprimeable number, because it can be changed into a prime (10202133222013) 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, 9289158 + ... + 10329216.

It is an arithmetic number, because the mean of its divisors is an integer number (242625196800).

Almost surely, 210202133222033 is an apocalyptic number.

It is an amenable number.

10202133222033 is a deficient number, since it is larger than the sum of its proper divisors (5325879373167).

10202133222033 is a wasteful number, since it uses less digits than its factorization.

10202133222033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040342.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 10202133222033 its reverse (33022233120201), we get a palindrome (43224366342234).

The spelling of 10202133222033 in words is "ten trillion, two hundred two billion, one hundred thirty-three million, two hundred twenty-two thousand, thirty-three".

Divisors: 1 3 17 19 51 53 57 159 191 323 573 901 969 1007 2703 3021 3247 3629 9741 10123 10887 17119 30369 51357 61693 172091 185079 192337 516273 577011 1040059 3120177 3269729 9809187 17681003 19761121 53043009 55123127 59283363 165369381 198651269 335939057 595953807 937093159 1007817171 1047339413 2811279477 3142018239 3377071573 3774374111 10131214719 10528517257 11323122333 17804770021 31585551771 53414310063 64164359887 178984793369 192493079661 200041827883 536954380107 600125483649 3400711074011 10202133222033