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2132133221 = 31210512111
BaseRepresentation
bin111111100010101…
…1100010101100101
312111120222120221002
41333011130111211
513331311230341
6551323003045
7103556555561
oct17705342545
95446876832
102132133221
119a4596279
124b6069485
1327c95baba
141632526a1
15c72b329b
hex7f15c565

2132133221 has 12 divisors (see below), whose sum is σ = 2206271232. Its totient is φ = 2060415000.

The previous prime is 2132133197. The next prime is 2132133233. The reversal of 2132133221 is 1223312312.

It is a de Polignac number, because none of the positive numbers 2k-2132133221 is a prime.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2132133193 and 2132133202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132133271) 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, 1008956 + ... + 1011066.

It is an arithmetic number, because the mean of its divisors is an integer number (183855936).

Almost surely, 22132133221 is an apocalyptic number.

It is an amenable number.

2132133221 is a deficient number, since it is larger than the sum of its proper divisors (74138011).

2132133221 is a wasteful number, since it uses less digits than its factorization.

2132133221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3224 (or 3193 counting only the distinct ones).

The product of its digits is 432, while the sum is 20.

The square root of 2132133221 is about 46175.0281104408. The cubic root of 2132133221 is about 1287.0777392529.

Adding to 2132133221 its reverse (1223312312), we get a palindrome (3355445533).

The spelling of 2132133221 in words is "two billion, one hundred thirty-two million, one hundred thirty-three thousand, two hundred twenty-one".

Divisors: 1 31 961 1051 2111 32581 65441 1010011 2028671 2218661 68778491 2132133221