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10001721312 = 2532113157109
BaseRepresentation
bin10010101000010011…
…00010011111100000
3221211001000002022200
421110021202133200
5130440420040222
64332243333200
7502565141232
oct112411423740
927731002280
1010001721312
114272790290
121b31681200
13c35170abb
146ac490252
153d80eceac
hex2542627e0

10001721312 has 72 divisors (see below), whose sum is σ = 31028077080. Its totient is φ = 3030823680.

The previous prime is 10001721287. The next prime is 10001721329. The reversal of 10001721312 is 21312710001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1575387 + ... + 1581722.

It is an arithmetic number, because the mean of its divisors is an integer number (430945515).

Almost surely, 210001721312 is an apocalyptic number.

10001721312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10001721312 is an abundant number, since it is smaller than the sum of its proper divisors (21026355768).

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

10001721312 is a wasteful number, since it uses less digits than its factorization.

10001721312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3157136 (or 3157125 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The spelling of 10001721312 in words is "ten billion, one million, seven hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 3157109 6314218 9471327 12628436 18942654 25256872 28413981 34728199 37885308 50513744 56827962 69456398 75770616 101027488 104184597 113655924 138912796 151541232 208369194 227311848 277825592 303082464 312553791 416738388 454623696 555651184 625107582 833476776 909247392 1111302368 1250215164 1666953552 2500430328 3333907104 5000860656 10001721312