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10212112001 = 7213194092063
BaseRepresentation
bin10011000001011000…
…00111011010000001
3222100200220001002102
421200230013122001
5131403300041001
64405201000145
7511031343200
oct114054073201
928320801072
1010212112001
11437051a993
121b90023055
13c69925730
146cc3b9237
153eb80ae6b
hex260b07681

10212112001 has 48 divisors (see below), whose sum is σ = 13505990400. Its totient is φ = 7632237312.

The previous prime is 10212111991. The next prime is 10212112019. The reversal of 10212112001 is 10021121201.

It is not a de Polignac number, because 10212112001 - 210 = 10212110977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10212112021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4949096 + ... + 4951158.

It is an arithmetic number, because the mean of its divisors is an integer number (281374800).

Almost surely, 210212112001 is an apocalyptic number.

It is an amenable number.

10212112001 is a deficient number, since it is larger than the sum of its proper divisors (3293878399).

10212112001 is a wasteful number, since it uses less digits than its factorization.

10212112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10212112001 its reverse (10021121201), we get a palindrome (20233233202).

The spelling of 10212112001 in words is "ten billion, two hundred twelve million, one hundred twelve thousand, one".

Divisors: 1 7 13 19 49 91 133 247 409 637 931 1729 2063 2863 5317 7771 12103 14441 20041 26819 37219 39197 54397 101023 101087 187733 260533 274379 380779 509561 707161 843767 1314131 1920653 3566927 4950127 5906369 10968971 16031573 24968489 41344583 76782797 112221011 208410449 537479579 785547077 1458873143 10212112001