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10000120001001 = 3135967113574031
BaseRepresentation
bin1001000110000101010110…
…0110011011000111101001
31022102000001120000221020220
42101201111212123013221
52302320221210013001
633133554113040253
72051325203341404
oct221412546330751
938360046027226
1010000120001001
1132060330465a9
12115610bb56089
13577012c82a30
14268019048d3b
151251d5748c36
hex9185599b1e9

10000120001001 has 64 divisors (see below), whose sum is σ = 14951650775040. Its totient is φ = 5906575825920.

The previous prime is 10000120000961. The next prime is 10000120001033. The reversal of 10000120001001 is 10010002100001.

It is not a de Polignac number, because 10000120001001 - 27 = 10000120000873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10000120001071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17133856 + ... + 17707886.

It is an arithmetic number, because the mean of its divisors is an integer number (233619543360).

Almost surely, 210000120001001 is an apocalyptic number.

It is an amenable number.

10000120001001 is a deficient number, since it is larger than the sum of its proper divisors (4951530774039).

10000120001001 is a wasteful number, since it uses less digits than its factorization.

10000120001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574286.

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

Adding to 10000120001001 its reverse (10010002100001), we get a palindrome (20010122101002).

The spelling of 10000120001001 in words is "ten trillion, one hundred twenty million, one thousand, one".

Divisors: 1 3 13 39 59 67 113 177 201 339 767 871 1469 2301 2613 3953 4407 6667 7571 11859 20001 22713 51389 86671 98423 154167 260013 295269 446689 574031 1340067 1722093 5806957 7462403 17420871 22387209 33867829 38460077 64865503 101603487 115380231 194596509 440281777 499981001 843251539 1320845331 1499943003 2269144543 2529754617 3827064677 4345988701 6807433629 11481194031 13037966103 29498879059 49751840801 56497853113 88496637177 149255522403 169493559339 256413333359 769240000077 3333373333667 10000120001001