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10012020110001 = 3271331738563687
BaseRepresentation
bin1001000110110001101011…
…1001101111001010110001
31022110010202220012002220200
42101230122321233022301
52303014104122010001
633143243013425413
72052226122525630
oct221543271571261
938403686162820
1010012020110001
11321008a380628
12115849133b269
1357818b511550
142688276a3517
15125680337086
hex91b1ae6f2b1

10012020110001 has 48 divisors (see below), whose sum is σ = 17855296053504. Its totient is φ = 5264405903232.

The previous prime is 10012020109981. The next prime is 10012020110047. The reversal of 10012020110001 is 10001102021001.

It is a happy number.

It is not a de Polignac number, because 10012020110001 - 215 = 10012020077233 is a prime.

It is a super-2 number, since 2×100120201100012 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10012020110201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19022221 + ... + 19541466.

It is an arithmetic number, because the mean of its divisors is an integer number (371985334448).

Almost surely, 210012020110001 is an apocalyptic number.

It is an amenable number.

10012020110001 is a deficient number, since it is larger than the sum of its proper divisors (7843275943503).

10012020110001 is a wasteful number, since it uses less digits than its factorization.

10012020110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38564030 (or 38564027 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10012020110001 its reverse (10001102021001), we get a palindrome (20013122131002).

The spelling of 10012020110001 in words is "ten trillion, twelve billion, twenty million, one hundred ten thousand, one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 317 819 951 2219 2853 4121 6657 12363 19971 28847 37089 86541 259623 38563687 115691061 269945809 347073183 501327931 809837427 1503983793 2429512281 3509295517 4511951379 10527886551 12224688779 31583659653 36674066337 85572821453 110022199011 158920954127 256718464359 476762862381 770155393077 1112446678889 1430288587143 3337340036667 10012020110001