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21131330301 = 351921391733
BaseRepresentation
bin10011101011100001…
…101000001011111101
32000112200022210200000
4103223201220023331
5321234110032201
613412501424513
71345440225654
oct235341501375
960480283600
1021131330301
118a640a3244
124118a0b139
131cb9ba7c53
14104665c19b
1583a23ed86
hex4eb8682fd

21131330301 has 72 divisors (see below), whose sum is σ = 33666927840. Its totient is φ = 13242442464.

The previous prime is 21131330279. The next prime is 21131330357. The reversal of 21131330301 is 10303313112.

It is a happy number.

21131330301 is a `hidden beast` number, since 2 + 1 + 1 + 31 + 330 + 301 = 666.

It is not a de Polignac number, because 21131330301 - 215 = 21131297533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21131330371) 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 71 ways as a sum of consecutive naturals, for example, 12192631 + ... + 12194363.

It is an arithmetic number, because the mean of its divisors is an integer number (467596220).

Almost surely, 221131330301 is an apocalyptic number.

It is an amenable number.

21131330301 is a deficient number, since it is larger than the sum of its proper divisors (12535597539).

21131330301 is a wasteful number, since it uses less digits than its factorization.

21131330301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 21131330301 its reverse (10303313112), we get a palindrome (31434643413).

The spelling of 21131330301 in words is "twenty-one billion, one hundred thirty-one million, three hundred thirty thousand, three hundred one".

Divisors: 1 3 9 19 27 57 81 139 171 243 361 417 513 1083 1251 1539 1733 2641 3249 3753 4617 5199 7923 9747 11259 15597 23769 29241 32927 33777 46791 50179 71307 87723 98781 140373 150537 213921 240887 296343 421119 451611 625613 641763 722661 889029 1354833 1876839 2167983 2667087 4064499 4576853 5630517 6503949 8001261 12193497 13730559 16891551 19511847 41191677 50674653 58535541 86960207 123575031 152023959 260880621 370725093 782641863 1112175279 2347925589 7043776767 21131330301