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21122033301 = 3261382110069
BaseRepresentation
bin10011101010111110…
…001010011010010101
32000112000211110120200
4103222332022122111
5321224220031201
613411530251113
71345265215005
oct235276123225
960460743520
1021122033301
118a59923276
124115886a99
131cb7ca1375
14104531c005
15839505386
hex4eaf8a695

21122033301 has 24 divisors (see below), whose sum is σ = 31020957240. Its totient is φ = 13845513600.

The previous prime is 21122033293. The next prime is 21122033323. The reversal of 21122033301 is 10333022112.

It can be written as a sum of positive squares in 4 ways, for example, as 768731076 + 20353302225 = 27726^2 + 142665^2 .

It is not a de Polignac number, because 21122033301 - 23 = 21122033293 is a prime.

It is a super-2 number, since 2×211220333012 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122033351) 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 23 ways as a sum of consecutive naturals, for example, 2092695 + ... + 2102763.

It is an arithmetic number, because the mean of its divisors is an integer number (1292539885).

Almost surely, 221122033301 is an apocalyptic number.

It is an amenable number.

21122033301 is a deficient number, since it is larger than the sum of its proper divisors (9898923939).

21122033301 is a wasteful number, since it uses less digits than its factorization.

21122033301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13957 (or 13954 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21122033301 its reverse (10333022112), we get a palindrome (31455055413).

The spelling of 21122033301 in words is "twenty-one billion, one hundred twenty-two million, thirty-three thousand, three hundred one".

Divisors: 1 3 9 61 183 549 3821 10069 11463 30207 34389 90621 233081 614209 699243 1842627 2097729 5527881 38473649 115420947 346262841 2346892589 7040677767 21122033301