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10011012 = 22311149509
BaseRepresentation
bin100110001100…
…000110000100
3200211121112020
4212030012010
510030323022
6554323140
7151043424
oct46140604
920747466
1010011012
115718470
1234294b0
1320c689b
141488484
15d2b35c
hex98c184

10011012 has 48 divisors (see below), whose sum is σ = 25704000. Its totient is φ = 3007360.

The previous prime is 10010989. The next prime is 10011013. The reversal of 10011012 is 21011001.

It is a super-2 number, since 2×100110122 = 200440722528288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10011013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19414 + ... + 19922.

It is an arithmetic number, because the mean of its divisors is an integer number (535500).

Almost surely, 210011012 is an apocalyptic number.

10011012 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 10011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12852000).

10011012 is an abundant number, since it is smaller than the sum of its proper divisors (15692988).

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

10011012 is a wasteful number, since it uses less digits than its factorization.

10011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 674 counting only the distinct ones).

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

The square root of 10011012 is about 3164.0183311732. The cubic root of 10011012 is about 215.5225221085.

Adding to 10011012 its reverse (21011001), we get a palindrome (31022013).

Multiplying 10011012 by its reverse (21011001), we get a palindrome (210341383143012).

The spelling of 10011012 in words is "ten million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 149 298 447 509 596 894 1018 1527 1639 1788 2036 3054 3278 4917 5599 6108 6556 9834 11198 16797 19668 22396 33594 67188 75841 151682 227523 303364 455046 834251 910092 1668502 2502753 3337004 5005506 10011012