Search a number
-
+
33100033121021 = 2329373877151703
BaseRepresentation
bin1111000011010101100111…
…01101110101101011111101
311100012022222012221002200102
413201222303231311223331
513314302331434333041
6154221540103410445
76654253451216456
oct741526355655375
9140168865832612
1033100033121021
11a601710865179
123867012153a25
1315614205a7309
1482609b88612d
153c601b5eb09b
hex1e1ab3b75afd

33100033121021 has 32 divisors (see below), whose sum is σ = 35867049039360. Its totient is φ = 30452227432704.

The previous prime is 33100033120879. The next prime is 33100033121039. The reversal of 33100033121021 is 12012133000133.

It is a cyclic number.

It is not a de Polignac number, because 33100033121021 - 218 = 33100032858877 is a prime.

It is a super-2 number, since 2×331000331210212 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 33100033120984 and 33100033121002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33100033121521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218113856 + ... + 218265558.

It is an arithmetic number, because the mean of its divisors is an integer number (1120845282480).

Almost surely, 233100033121021 is an apocalyptic number.

It is an amenable number.

33100033121021 is a deficient number, since it is larger than the sum of its proper divisors (2767015918339).

33100033121021 is a wasteful number, since it uses less digits than its factorization.

33100033121021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153005.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 33100033121021 its reverse (12012133000133), we get a palindrome (45112166121154).

The spelling of 33100033121021 in words is "thirty-three trillion, one hundred billion, thirty-three million, one hundred twenty-one thousand, twenty-one".

Divisors: 1 23 29 373 667 877 8579 10817 20171 25433 151703 248791 327121 584959 3489169 4399387 7523783 9486509 56585219 101185901 133043531 218189707 1301460037 1640971351 3060001213 3858262399 37742341073 49625237063 88740035177 1141380452449 1439131874827 33100033121021