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21302312031 = 32711133763907
BaseRepresentation
bin10011110101101101…
…110111110001011111
32000222121001120111200
4103311231313301133
5322111342441111
613441450250543
71352614443660
oct236555676137
960877046450
1021302312031
119041666360
124166126a53
132016442080
141061249367
1584a266256
hex4f5b77c5f

21302312031 has 96 divisors (see below), whose sum is σ = 42430821888. Its totient is φ = 9938661120.

The previous prime is 21302312021. The next prime is 21302312033. The reversal of 21302312031 is 13021320312.

21302312031 is a `hidden beast` number, since 21 + 302 + 312 + 0 + 31 = 666.

It is not a de Polignac number, because 21302312031 - 25 = 21302311999 is a prime.

It is a super-2 number, since 2×213023120312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21302311995 and 21302312013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21302312033) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 301380 + ... + 365286.

It is an arithmetic number, because the mean of its divisors is an integer number (441987728).

Almost surely, 221302312031 is an apocalyptic number.

21302312031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21302312031 is a deficient number, since it is larger than the sum of its proper divisors (21128509857).

21302312031 is a wasteful number, since it uses less digits than its factorization.

21302312031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63981 (or 63978 counting only the distinct ones).

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

Adding to 21302312031 its reverse (13021320312), we get a palindrome (34323632343).

It can be divided in two parts, 21302 and 312031, that added together give a palindrome (333333).

The spelling of 21302312031 in words is "twenty-one billion, three hundred two million, three hundred twelve thousand, thirty-one".

Divisors: 1 3 7 9 11 13 21 33 37 39 63 77 91 99 111 117 143 231 259 273 333 407 429 481 693 777 819 1001 1221 1287 1443 2331 2849 3003 3367 3663 4329 5291 8547 9009 10101 15873 25641 30303 37037 47619 63907 111111 191721 333333 447349 575163 702977 830791 1342047 2108931 2364559 2492373 4026141 4920839 5815537 6326793 7093677 7477119 9138701 14762517 16551913 17446611 21281031 26010149 27416103 30739267 44287551 49655739 52339833 63970907 78030447 82248309 92217801 148967217 182071043 191912721 215174869 234091341 276653403 338131937 546213129 575738163 645524607 1014395811 1638639387 1936573821 2366923559 3043187433 7100770677 21302312031