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21202112331 = 321937241472
BaseRepresentation
bin10011101111101111…
…101000111101001011
32000201121111220100200
4103233233220331023
5321410220043311
613423510503243
71350256660401
oct235757507513
960647456320
1021202112331
118aa0048894
124138664b23
131ccb75b6ca
141051c05471
15841572556
hex4efbe8f4b

21202112331 has 108 divisors (see below), whose sum is σ = 34677541080. Its totient is φ = 12440666880.

The previous prime is 21202112311. The next prime is 21202112339. The reversal of 21202112331 is 13321120212.

Adding to 21202112331 its reverse (13321120212), we get a palindrome (34523232543).

21202112331 is a `hidden beast` number, since 2 + 120 + 211 + 2 + 331 = 666.

It is not a de Polignac number, because 21202112331 - 219 = 21201588043 is a prime.

It is a super-2 number, since 2×212021123312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21202112339) 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 107 ways as a sum of consecutive naturals, for example, 451108750 + ... + 451108796.

Almost surely, 221202112331 is an apocalyptic number.

21202112331 is a deficient number, since it is larger than the sum of its proper divisors (13475428749).

21202112331 is a wasteful number, since it uses less digits than its factorization.

21202112331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 21202112331 in words is "twenty-one billion, two hundred two million, one hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 9 19 37 41 47 57 111 123 141 171 333 369 423 703 779 893 1369 1517 1739 1927 2109 2209 2337 2679 4107 4551 5217 5781 6327 6627 7011 8037 12321 13653 15651 17343 19881 26011 28823 33041 36613 41971 56129 64343 71299 78033 81733 86469 90569 99123 109839 125913 168387 193029 213897 234099 245199 259407 271707 297369 329517 377739 505161 579087 641691 735597 815121 1066451 1222517 1354681 1552927 1720811 2638063 3024121 3199353 3351053 3667551 4064043 4658781 5162433 7914189 9072363 9598059 10053159 11002653 12192129 13976343 15487299 23742567 27217089 30159477 50123197 57458299 63670007 123988961 150369591 172374897 191010021 371966883 451108773 517124691 573030063 1115900649 2355790259 7067370777 21202112331