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10010012001 = 31111312132213
BaseRepresentation
bin10010101001010010…
…01010100101100001
3221211121121022000020
421110221022211201
5131000030341001
64333141144053
7503025461313
oct112451124541
927747538006
1010010012001
1142774331a0
121b343bb029
13c36ab4632
146ad60b7b3
153d8bd9736
hex254a4a961

10010012001 has 32 divisors (see below), whose sum is σ = 14707619712. Its totient is φ = 6005314560.

The previous prime is 10010011969. The next prime is 10010012021. The reversal of 10010012001 is 10021001001.

It is not a de Polignac number, because 10010012001 - 25 = 10010011969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10010012021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4522171 + ... + 4524383.

It is an arithmetic number, because the mean of its divisors is an integer number (459613116).

Almost surely, 210010012001 is an apocalyptic number.

10010012001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010012001 is a deficient number, since it is larger than the sum of its proper divisors (4697607711).

10010012001 is a wasteful number, since it uses less digits than its factorization.

10010012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3553.

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

Adding to 10010012001 its reverse (10021001001), we get a palindrome (20031013002).

It can be divided in two parts, 100100 and 12001, that added together give a triangular number (112101 = T473).

The spelling of 10010012001 in words is "ten billion, ten million, twelve thousand, one".

Divisors: 1 3 11 33 113 339 1213 1243 2213 3639 3729 6639 13343 24343 40029 73029 137069 250069 411207 750207 1507759 2684369 2750759 4523277 8053107 8252277 29528059 88584177 303333697 910001091 3336670667 10010012001