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10300321724 = 227111914911813
BaseRepresentation
bin10011001011111001…
…00110111110111100
3222120211212120002012
421211330212332330
5132043340243344
64422031350352
7513152201330
oct114574467674
928524776065
1010300321724
114406299190
121bb56823b8
13c81c9b834
146d9dbb7c0
1540443229e
hex265f26fbc

10300321724 has 96 divisors (see below), whose sum is σ = 23817024000. Its totient is φ = 3776060160.

The previous prime is 10300321697. The next prime is 10300321753. The reversal of 10300321724 is 42712300301.

It is a self number, because there is not a number n which added to its sum of digits gives 10300321724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 866042 + ... + 877854.

It is an arithmetic number, because the mean of its divisors is an integer number (248094000).

Almost surely, 210300321724 is an apocalyptic number.

10300321724 is a gapful number since it is divisible by the number (14) 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 10300321724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11908512000).

10300321724 is an abundant number, since it is smaller than the sum of its proper divisors (13516702276).

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

10300321724 is a wasteful number, since it uses less digits than its factorization.

10300321724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12003 (or 12001 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The spelling of 10300321724 in words is "ten billion, three hundred million, three hundred twenty-one thousand, seven hundred twenty-four".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 133 149 154 209 266 298 308 418 532 596 836 1043 1463 1639 2086 2831 2926 3278 4172 5662 5852 6556 11324 11473 11813 19817 22946 23626 31141 39634 45892 47252 62282 79268 82691 124564 129943 165382 217987 224447 259886 330764 435974 448894 519772 871948 897788 909601 1571129 1760137 1819202 2468917 3142258 3520274 3638404 4937834 6284516 7040548 9875668 12320959 17282419 19361507 24641918 33442603 34564838 38723014 49283836 66885206 69129676 77446028 133770412 135530549 234098221 271061098 367868633 468196442 542122196 735737266 936392884 1471474532 2575080431 5150160862 10300321724