Search a number
-
+
133102210002333 = 311131960726902069
BaseRepresentation
bin11110010000111001000101…
…111100100010110110011101
3122110021110001212102122201220
4132100321011330202312131
5114421221311230033313
61151030151112323553
740015213562512545
oct3620710574426635
9573243055378656
10133102210002333
113945736a640510
1212b181249a35b9
13593663b718ac0
1424c2277838325
15105c46206c823
hex790e45f22d9d

133102210002333 has 64 divisors (see below), whose sum is σ = 219830803046400. Its totient is φ = 70427461858560.

The previous prime is 133102210002313. The next prime is 133102210002337. The reversal of 133102210002333 is 333200012201331.

It is not a de Polignac number, because 133102210002333 - 210 = 133102210001309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133102210002337) 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, 8503378 + ... + 18398691.

It is an arithmetic number, because the mean of its divisors is an integer number (3434856297600).

Almost surely, 2133102210002333 is an apocalyptic number.

133102210002333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133102210002333 is a deficient number, since it is larger than the sum of its proper divisors (86728593044067).

133102210002333 is a wasteful number, since it uses less digits than its factorization.

133102210002333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26902722.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 133102210002333 its reverse (333200012201331), we get a palindrome (466302222203664).

The spelling of 133102210002333 in words is "one hundred thirty-three trillion, one hundred two billion, two hundred ten million, two thousand, three hundred thirty-three".

Divisors: 1 3 11 13 19 33 39 57 143 209 247 429 607 627 741 1821 2717 6677 7891 8151 11533 20031 23673 34599 86801 126863 149929 260403 380589 449787 1649219 4947657 26902069 80706207 295922759 349726897 511139311 887768277 1049180691 1533417933 3846995867 5622532421 6644811043 11540987601 16329555883 16867597263 19934433129 48988667649 73092921473 179625114713 212284226479 219278764419 310261561777 538875344139 636852679437 930784685331 2335126491269 3412877179547 4033400303101 7005379473807 10238631538641 12100200909303 44367403334111 133102210002333