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10003012012 = 2273716995683
BaseRepresentation
bin10010101000011100…
…11101100110101100
3221211010102122211101
421110032131212230
5130441232341022
64332331132444
7502612125220
oct112416354654
927733378741
1010003012012
114273491a84
121b31ba4124
13c35503426
146ac708780
153d82a5627
hex25439d9ac

10003012012 has 48 divisors (see below), whose sum is σ = 20562438400. Its totient is φ = 4167951552.

The previous prime is 10003012009. The next prime is 10003012013. The reversal of 10003012012 is 21021030001.

10003012012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10003012012.

It is not an unprimeable number, because it can be changed into a prime (10003012013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1757323 + ... + 1763005.

Almost surely, 210003012012 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 10003012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10281219200).

10003012012 is an abundant number, since it is smaller than the sum of its proper divisors (10559426388).

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

10003012012 is a wasteful number, since it uses less digits than its factorization.

10003012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7430 (or 7428 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10003012012 its reverse (21021030001), we get a palindrome (31024042013).

The spelling of 10003012012 in words is "ten billion, three million, twelve thousand, twelve".

Divisors: 1 2 4 7 14 28 37 74 148 259 518 1036 1699 3398 5683 6796 11366 11893 22732 23786 39781 47572 62863 79562 125726 159124 210271 251452 420542 440041 841084 880082 1471897 1760164 2943794 5887588 9655417 19310834 38621668 67587919 135175838 270351676 357250429 714500858 1429001716 2500753003 5001506006 10003012012