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10120012 = 2273189131
BaseRepresentation
bin100110100110…
…101101001100
3201001011001021
4212212231030
510042320022
61000523524
7152006260
oct46465514
921034037
1010120012
115792351
1234805a4
132134396
1414b60a0
15d4d7c7
hex9a6b4c

10120012 has 48 divisors (see below), whose sum is σ = 21288960. Its totient is φ = 4118400.

The previous prime is 10119983. The next prime is 10120021. The reversal of 10120012 is 21002101.

10120012 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 (7).

It is a junction number, because it is equal to n+sod(n) for n = 10119977 and 10120004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77187 + ... + 77317.

It is an arithmetic number, because the mean of its divisors is an integer number (443520).

Almost surely, 210120012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10644480).

10120012 is an abundant number, since it is smaller than the sum of its proper divisors (11168948).

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

10120012 is a wasteful number, since it uses less digits than its factorization.

10120012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 10120012 is about 3181.1966302007. The cubic root of 10120012 is about 216.3019040768.

Adding to 10120012 its reverse (21002101), we get a palindrome (31122113).

The spelling of 10120012 in words is "ten million, one hundred twenty thousand, twelve".

Divisors: 1 2 4 7 14 28 31 62 89 124 131 178 217 262 356 434 524 623 868 917 1246 1834 2492 2759 3668 4061 5518 8122 11036 11659 16244 19313 23318 28427 38626 46636 56854 77252 81613 113708 163226 326452 361429 722858 1445716 2530003 5060006 10120012