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20310032512 = 277119672131
BaseRepresentation
bin10010111010100100…
…101000000010000000
31221102102220112220101
4102322210220002000
5313043332020022
613155202252144
71316205266530
oct227244500200
957372815811
1020310032512
118682536040
123b29957054
131bb89a9023
14da954b4c0
157dd0ac627
hex4ba928080

20310032512 has 128 divisors (see below), whose sum is σ = 50521236480. Its totient is φ = 7901107200.

The previous prime is 20310032473. The next prime is 20310032569. The reversal of 20310032512 is 21523001302.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 20310032512.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9529687 + ... + 9531817.

It is an arithmetic number, because the mean of its divisors is an integer number (394697160).

Almost surely, 220310032512 is an apocalyptic number.

20310032512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20310032512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25260618240).

20310032512 is an abundant number, since it is smaller than the sum of its proper divisors (30211203968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20310032512 is a wasteful number, since it uses less digits than its factorization.

20310032512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 3118 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 20310032512 its reverse (21523001302), we get a palindrome (41833033814).

The spelling of 20310032512 in words is "twenty billion, three hundred ten million, thirty-two thousand, five hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 967 1232 1408 1934 2131 2464 3868 4262 4928 6769 7736 8524 9856 10637 13538 14917 15472 17048 21274 23441 27076 29834 30944 34096 42548 46882 54152 59668 61888 68192 74459 85096 93764 108304 119336 123776 136384 148918 164087 170192 187528 216608 238672 272768 297836 328174 340384 375056 433216 477344 595672 656348 680768 750112 866432 954688 1191344 1312696 1361536 1500224 1909376 2060677 2382688 2625392 3000448 4121354 4765376 5250784 8242708 9530752 10501568 14424739 16485416 21003136 22667447 28849478 32970832 45334894 57698956 65941664 90669788 115397912 131883328 158672129 181339576 230795824 263766656 317344258 362679152 461591648 634688516 725358304 923183296 1269377032 1450716608 1846366592 2538754064 2901433216 5077508128 10155016256 20310032512