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10020212201001 = 337271143977573
BaseRepresentation
bin1001000111010000001100…
…1100000101011000101001
31022110220220211001110010110
42101310003030011120221
52303132343310413001
633151115534404533
72052636125253102
oct221640314053051
938426824043113
1010020212201001
113213603619872
121159b98960749
13578b9579ca82
14268da36913a9
151259ae6283d6
hex91d03305629

10020212201001 has 32 divisors (see below), whose sum is σ = 13731367765248. Its totient is φ = 6494864221440.

The previous prime is 10020212200987. The next prime is 10020212201071. The reversal of 10020212201001 is 10010221202001.

It is not a de Polignac number, because 10020212201001 - 25 = 10020212200969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10020212201071) 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 31 ways as a sum of consecutive naturals, for example, 1323145851 + ... + 1323153423.

It is an arithmetic number, because the mean of its divisors is an integer number (429105242664).

Almost surely, 210020212201001 is an apocalyptic number.

It is an amenable number.

10020212201001 is a deficient number, since it is larger than the sum of its proper divisors (3711155564247).

10020212201001 is a wasteful number, since it uses less digits than its factorization.

10020212201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14721.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10020212201001 its reverse (10010221202001), we get a palindrome (20030433403002).

The spelling of 10020212201001 in words is "ten trillion, twenty billion, two hundred twelve million, two hundred one thousand, one".

Divisors: 1 3 37 111 2711 4397 7573 8133 13191 22719 100307 162689 280201 300921 488067 840603 11920267 20530403 33298481 35760801 61591209 99895443 441049879 759624911 1232043797 1323149637 2278874733 3696131391 90272181991 270816545973 3340070733667 10020212201001