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10304000982 = 23311127137997
BaseRepresentation
bin10011001100010101…
…01001001111010110
3222121002210111002000
421212022221033112
5132100311012412
64422242300130
7513225364122
oct114612511726
928532714060
1010304000982
1144083814a0
121bb6957646
13c82989402
146da698582
1540490c4dc
hex2662a93d6

10304000982 has 128 divisors (see below), whose sum is σ = 25385287680. Its totient is φ = 3072142080.

The previous prime is 10304000939. The next prime is 10304000983. The reversal of 10304000982 is 28900040301.

10304000982 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10304000983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10334508 + ... + 10335504.

It is an arithmetic number, because the mean of its divisors is an integer number (198322560).

Almost surely, 210304000982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10304000982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12692643840).

10304000982 is an abundant number, since it is smaller than the sum of its proper divisors (15081286698).

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

10304000982 is a wasteful number, since it uses less digits than its factorization.

10304000982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10304000982 in words is "ten billion, three hundred four million, nine hundred eighty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 127 137 198 254 274 297 381 411 594 762 822 997 1143 1233 1397 1507 1994 2286 2466 2794 2991 3014 3429 3699 4191 4521 5982 6858 7398 8382 8973 9042 10967 12573 13563 17399 17946 21934 25146 26919 27126 32901 34798 37719 40689 52197 53838 65802 75438 81378 98703 104394 126619 136589 156591 191389 197406 253238 273178 296109 313182 379857 382778 409767 469773 574167 592218 759714 819534 939546 1139571 1148334 1229301 1392809 1502479 1722501 2279142 2458602 2785618 3004958 3418713 3445002 3687903 4178427 4507437 5167503 6837426 7375806 8356854 9014874 10335006 12535281 13522311 17346803 25070562 27044622 34693606 37605843 40566933 52040409 75211686 81133866 104080818 156121227 190814833 312242454 381629666 468363681 572444499 936727362 1144888998 1717333497 3434666994 5152000491 10304000982