Search a number
-
+
2121021222331 = 112291633708293
BaseRepresentation
bin11110110111010110101…
…101110110110110111011
321111202201121121221010211
4132313112231312312323
5234222322413103311
64302214513451551
7306144611631034
oct36672655666673
97452647557124
102121021222331
1174857a204400
122a3099870bb7
1312501c1a94bb
147492d6a9a8b
153a28c957821
hex1edd6b76dbb

2121021222331 has 24 divisors (see below), whose sum is σ = 2426559261840. Its totient is φ = 1850289376320.

The previous prime is 2121021222293. The next prime is 2121021222401. The reversal of 2121021222331 is 1332221201212.

It is a de Polignac number, because none of the positive numbers 2k-2121021222331 is a prime.

It is a super-2 number, since 2×21210212223312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2121021222031) 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 23 ways as a sum of consecutive naturals, for example, 1282180 + ... + 2426113.

It is an arithmetic number, because the mean of its divisors is an integer number (101106635910).

Almost surely, 22121021222331 is an apocalyptic number.

2121021222331 is a deficient number, since it is larger than the sum of its proper divisors (305538039509).

2121021222331 is a wasteful number, since it uses less digits than its factorization.

2121021222331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3708507 (or 3708496 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 2121021222331 its reverse (1332221201212), we get a palindrome (3453242423543).

The spelling of 2121021222331 in words is "two trillion, one hundred twenty-one billion, twenty-one million, two hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 11 29 121 163 319 1793 3509 4727 19723 51997 571967 3708293 40791223 107540497 448703453 604451759 1182945467 6648969349 13012400137 17529101011 73138662839 192820111121 2121021222331