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2132120331 = 321117274521
BaseRepresentation
bin111111100010101…
…1001001100001011
312111120221221020200
41333011121030023
513331310322311
6551322423243
7103556503155
oct17705311413
95446857220
102132120331
119a4587620
124b6061b23
1327c955c83
1416324bad5
15c72ae556
hex7f15930b

2132120331 has 36 divisors (see below), whose sum is σ = 3569007624. Its totient is φ = 1216166400.

The previous prime is 2132120317. The next prime is 2132120357. The reversal of 2132120331 is 1330212312.

2132120331 is a `hidden beast` number, since 213 + 2 + 120 + 331 = 666.

It is not a de Polignac number, because 2132120331 - 29 = 2132119819 is a prime.

It is a super-2 number, since 2×21321203312 = 9091874211727099122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2132120311) 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 35 ways as a sum of consecutive naturals, for example, 8650 + ... + 65871.

Almost surely, 22132120331 is an apocalyptic number.

2132120331 is a deficient number, since it is larger than the sum of its proper divisors (1436887293).

2132120331 is a wasteful number, since it uses less digits than its factorization.

2132120331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74572 (or 74552 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2132120331 is about 46174.8885326213. Note that the first 3 decimals coincide. The cubic root of 2132120331 is about 1287.0751455336.

Adding to 2132120331 its reverse (1330212312), we get a palindrome (3462332643).

The spelling of 2132120331 in words is "two billion, one hundred thirty-two million, one hundred twenty thousand, three hundred thirty-one".

Divisors: 1 3 9 11 17 33 51 99 153 187 289 561 867 1683 2601 3179 9537 28611 74521 223563 670689 819731 1266857 2459193 3800571 7377579 11401713 13935427 21536569 41806281 64609707 125418843 193829121 236902259 710706777 2132120331