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10010001213 = 321318490247
BaseRepresentation
bin10010101001010010…
…00111111100111101
3221211121120202012200
421110221013330331
5131000030014323
64333141022113
7503025415002
oct112451077475
927747522180
1010010001213
114277426083
121b343b4939
13c36aac754
146ad6078a9
153d8bd6443
hex254a47f3d

10010001213 has 12 divisors (see below), whose sum is σ = 14569265568. Its totient is φ = 6622391880.

The previous prime is 10010001161. The next prime is 10010001227. The reversal of 10010001213 is 31210001001.

It is not a de Polignac number, because 10010001213 - 212 = 10009997117 is a prime.

It is a super-2 number, since 2×100100012132 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10010001195 and 10010001204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010001713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4243945 + ... + 4246302.

It is an arithmetic number, because the mean of its divisors is an integer number (1214105464).

Almost surely, 210010001213 is an apocalyptic number.

It is an amenable number.

10010001213 is a deficient number, since it is larger than the sum of its proper divisors (4559264355).

10010001213 is a wasteful number, since it uses less digits than its factorization.

10010001213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8490384 (or 8490381 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10010001213 its reverse (31210001001), we get a palindrome (41220002214).

It can be divided in two parts, 100100012 and 13, that added together give a square (100100025 = 100052).

The spelling of 10010001213 in words is "ten billion, ten million, one thousand, two hundred thirteen".

Divisors: 1 3 9 131 393 1179 8490247 25470741 76412223 1112222357 3336667071 10010001213