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2121331101 = 323372812957
BaseRepresentation
bin111111001110000…
…1111000110011101
312110211122210012120
41332130033012131
513321030043401
6550255253153
7103366005531
oct17634170635
95424583176
102121331101
119994884aa
124b251a1b9
1327a649106
14161a3dbc1
15c637c836
hex7e70f19d

2121331101 has 32 divisors (see below), whose sum is σ = 3043001088. Its totient is φ = 1311045120.

The previous prime is 2121331099. The next prime is 2121331123. The reversal of 2121331101 is 1011331212.

It is a happy number.

It is not a de Polignac number, because 2121331101 - 21 = 2121331099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121331141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 715915 + ... + 718871.

It is an arithmetic number, because the mean of its divisors is an integer number (95093784).

Almost surely, 22121331101 is an apocalyptic number.

It is an amenable number.

2121331101 is a deficient number, since it is larger than the sum of its proper divisors (921669987).

2121331101 is a wasteful number, since it uses less digits than its factorization.

2121331101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 2121331101 is about 46057.9102977979. The cubic root of 2121331101 is about 1284.9004653735.

Adding to 2121331101 its reverse (1011331212), we get a palindrome (3132662313).

The spelling of 2121331101 in words is "two billion, one hundred twenty-one million, three hundred thirty-one thousand, one hundred one".

Divisors: 1 3 23 37 69 111 281 843 851 2553 2957 6463 8871 10397 19389 31191 68011 109409 204033 239131 328227 717393 830917 2492751 2516407 7549221 19111091 30743929 57333273 92231787 707110367 2121331101