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20300332311 = 3272959832269
BaseRepresentation
bin10010111001111111…
…100111110100010111
31221101202122201201200
4102321333213310113
5313033341113221
613154214323543
71316026656210
oct227177476427
957352581650
1020300332311
118678010146
123b266595b3
131bb6990a6c
14da8144407
157dc2e3426
hex4b9fe7d17

20300332311 has 96 divisors (see below), whose sum is σ = 35695296000. Its totient is φ = 10872900864.

The previous prime is 20300332307. The next prime is 20300332373. The reversal of 20300332311 is 11323300302.

20300332311 is a `hidden beast` number, since 2 + 0 + 300 + 332 + 31 + 1 = 666.

It is not a de Polignac number, because 20300332311 - 22 = 20300332307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20300332301) 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 95 ways as a sum of consecutive naturals, for example, 8945685 + ... + 8947953.

It is an arithmetic number, because the mean of its divisors is an integer number (371826000).

Almost surely, 220300332311 is an apocalyptic number.

20300332311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20300332311 is a deficient number, since it is larger than the sum of its proper divisors (15394963689).

20300332311 is a wasteful number, since it uses less digits than its factorization.

20300332311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 20300332311 its reverse (11323300302), we get a palindrome (31623632613).

The spelling of 20300332311 in words is "twenty billion, three hundred million, three hundred thirty-two thousand, three hundred eleven".

Divisors: 1 3 7 9 21 29 59 63 83 87 177 203 249 261 413 531 581 609 747 1239 1711 1743 1827 2269 2407 3717 4897 5133 5229 6807 7221 11977 14691 15399 15883 16849 20421 21663 34279 35931 44073 47649 50547 65801 102837 107793 133871 142013 142947 151641 188327 197403 308511 401613 426039 460607 564981 592209 937097 994091 1204839 1278117 1318289 1381821 1694943 2811291 2982273 3882259 3954867 4145463 5461483 8433873 8946819 11111293 11646777 11864601 16384449 27175813 33333879 34940331 38230381 49153347 77779051 81527439 100001637 114691143 233337153 244582317 322227497 344073429 700011459 966682491 2255592479 2900047473 6766777437 20300332311