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10001010012 = 2237199764601
BaseRepresentation
bin10010101000001101…
…10100110101011100
3221210222122221121020
421110012310311130
5130440224310022
64332220204140
7502556116410
oct112406646534
927728587536
1010001010012
114272344934
121b31399650
13c34c82106
146ac346d40
153d800c35c
hex2541b4d5c

10001010012 has 96 divisors (see below), whose sum is σ = 28362862080. Its totient is φ = 2679091200.

The previous prime is 10001010007. The next prime is 10001010043. The reversal of 10001010012 is 21001010001.

It is a Harshad number since it is a multiple of its sum of digits (6).

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, 122512 + ... + 187112.

It is an arithmetic number, because the mean of its divisors is an integer number (295446480).

Almost surely, 210001010012 is an apocalyptic number.

10001010012 is a gapful number since it is divisible by the number (12) 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 10001010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14181431040).

10001010012 is an abundant number, since it is smaller than the sum of its proper divisors (18361852068).

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

10001010012 is a wasteful number, since it uses less digits than its factorization.

10001010012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64731 (or 64729 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10001010012 its reverse (21001010001), we get a palindrome (31002020013).

The spelling of 10001010012 in words is "ten billion, one million, ten thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 97 114 133 194 228 266 291 388 399 532 582 679 798 1164 1358 1596 1843 2037 2716 3686 4074 5529 7372 8148 11058 12901 22116 25802 38703 51604 64601 77406 129202 154812 193803 258404 387606 452207 775212 904414 1227419 1356621 1808828 2454838 2713242 3682257 4909676 5426484 6266297 7364514 8591933 12532594 14729028 17183866 18798891 25065188 25775799 34367732 37597782 43864079 51551598 75195564 87728158 103103196 119059643 131592237 175456316 238119286 263184474 357178929 476238572 526368948 714357858 833417501 1428715716 1666835002 2500252503 3333670004 5000505006 10001010012