Search a number
-
+
21122323033 = 72232814873
BaseRepresentation
bin10011101010111111…
…010001001001011001
32000112001101012000111
4103222333101021121
5321224303314113
613411540404321
71345300532500
oct235277211131
960461335014
1021122323033
118a5a000a19
1241159a66a1
131cb80731c6
141045395837
1583956113d
hex4eafd1259

21122323033 has 18 divisors (see below), whose sum is σ = 25685643354. Its totient is φ = 17317659744.

The previous prime is 21122323007. The next prime is 21122323037. The reversal of 21122323033 is 33032322112.

It can be written as a sum of positive squares in only one way, i.e., 20670675529 + 451647504 = 143773^2 + 21252^2 .

It is not a de Polignac number, because 21122323033 - 213 = 21122314841 is a prime.

It is a super-3 number, since 3×211223230333 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21122322995 and 21122323013.

It is not an unprimeable number, because it can be changed into a prime (21122323037) 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 17 ways as a sum of consecutive naturals, for example, 381516 + ... + 433357.

Almost surely, 221122323033 is an apocalyptic number.

21122323033 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

21122323033 is a deficient number, since it is larger than the sum of its proper divisors (4563320321).

21122323033 is an equidigital number, since it uses as much as digits as its factorization.

21122323033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814933 (or 814903 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 21122323033 its reverse (33032322112), we get a palindrome (54154645145).

It can be divided in two parts, 211223 and 23033, that added together give a 4-th power (234256 = 224).

The spelling of 21122323033 in words is "twenty-one billion, one hundred twenty-two million, three hundred twenty-three thousand, thirty-three".

Divisors: 1 7 23 49 161 529 1127 3703 25921 814873 5704111 18742079 39928777 131194553 431067817 918361871 3017474719 21122323033