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20106121 = 721724137
BaseRepresentation
bin100110010110…
…0101110001001
31101211111102011
41030230232021
520121343441
61554535521
7332620300
oct114545611
941744364
1020106121
1110393032
1268975a1
13421c819
142955437
151b72581
hex132cb89

20106121 has 12 divisors (see below), whose sum is σ = 24765588. Its totient is φ = 16219392.

The previous prime is 20106109. The next prime is 20106127. The reversal of 20106121 is 12160102.

It can be written as a sum of positive squares in 2 ways, for example, as 14930496 + 5175625 = 3864^2 + 2275^2 .

It is not a de Polignac number, because 20106121 - 25 = 20106089 is a prime.

It is a super-2 number, since 2×201061212 = 808512203333282, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20106127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11236 + ... + 12901.

It is an arithmetic number, because the mean of its divisors is an integer number (2063799).

Almost surely, 220106121 is an apocalyptic number.

It is an amenable number.

20106121 is a deficient number, since it is larger than the sum of its proper divisors (4659467).

20106121 is a wasteful number, since it uses less digits than its factorization.

20106121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24168 (or 24161 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 20106121 is about 4483.9849464511. The cubic root of 20106121 is about 271.9210095384.

Adding to 20106121 its reverse (12160102), we get a palindrome (32266223).

The spelling of 20106121 in words is "twenty million, one hundred six thousand, one hundred twenty-one".

Divisors: 1 7 17 49 119 833 24137 168959 410329 1182713 2872303 20106121