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21223100013331 = 174192203330241
BaseRepresentation
bin1001101001101011000110…
…10101100101101100010011
32210010220112022220212201111
410310311203111211230103
510240204402100411311
6113045431344114151
74320214126423366
oct464654325455423
983126468825644
1021223100013331
116842736744037
122469219305957
13bac4395a7488
145352bc66a0dd
1526c0dca39d21
hex134d63565b13

21223100013331 has 16 divisors (see below), whose sum is σ = 23019922826208. Its totient is φ = 19487224627200.

The previous prime is 21223100013317. The next prime is 21223100013341. The reversal of 21223100013331 is 13331000132212.

It is a cyclic number.

It is not a de Polignac number, because 21223100013331 - 25 = 21223100013299 is a prime.

It is a super-2 number, since 2×212231000133312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21223100013341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64100371 + ... + 64430611.

It is an arithmetic number, because the mean of its divisors is an integer number (1438745176638).

Almost surely, 221223100013331 is an apocalyptic number.

21223100013331 is a deficient number, since it is larger than the sum of its proper divisors (1796822812877).

21223100013331 is a wasteful number, since it uses less digits than its factorization.

21223100013331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422502.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 21223100013331 its reverse (13331000132212), we get a palindrome (34554100145543).

The spelling of 21223100013331 in words is "twenty-one trillion, two hundred twenty-three billion, one hundred million, thirteen thousand, three hundred thirty-one".

Divisors: 1 17 41 697 92203 330241 1567451 3780323 5614097 13539881 64265491 230177977 30449210923 517636585691 1248417647843 21223100013331