Search a number
-
+
33211122042320 = 2451153360051193
BaseRepresentation
bin1111000110100100100010…
…01000011100010111010000
311100120221201012100000020222
413203102101020130113100
513323112334220323240
6154344551232452212
76665265364401545
oct743222110342720
9140527635300228
1033211122042320
11a644837642a42
1238846556aa068
13156ba45576341
1482b5d9522bcc
153c8d6e0dbeb5
hex1e349121c5d0

33211122042320 has 40 divisors (see below), whose sum is σ = 77282828484936. Its totient is φ = 13272927141888.

The previous prime is 33211122042313. The next prime is 33211122042323. The reversal of 33211122042320 is 2324022111233.

It can be written as a sum of positive squares in 4 ways, for example, as 16284743710096 + 16926378332224 = 4035436^2 + 4114168^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×332111220423202 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33211122042320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33211122042323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179933357 + ... + 180117836.

Almost surely, 233211122042320 is an apocalyptic number.

It is an amenable number.

33211122042320 is an abundant number, since it is smaller than the sum of its proper divisors (44071706442616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33211122042320 is a wasteful number, since it uses less digits than its factorization.

33211122042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360052359 (or 360052353 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 33211122042320 its reverse (2324022111233), we get a palindrome (35535144153553).

The spelling of 33211122042320 in words is "thirty-three trillion, two hundred eleven billion, one hundred twenty-two million, forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1153 2306 4612 5765 9224 11530 18448 23060 46120 92240 360051193 720102386 1440204772 1800255965 2880409544 3600511930 5760819088 7201023860 14402047720 28804095440 415139025529 830278051058 1660556102116 2075695127645 3321112204232 4151390255290 6642224408464 8302780510580 16605561021160 33211122042320