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32312122121323 = 1176923831602959
BaseRepresentation
bin1110101100011010000001…
…00011111001110001101011
311020102000020100101012111201
413112031000203321301223
513213400211230340243
6152415552312305031
76543321336221332
oct726150043716153
9136360210335451
1032312122121323
11a328548620320
12375a3803a2177
131505035054375
147d9cb4ca8d19
153b07a47aa04d
hex1d63408f9c6b

32312122121323 has 16 divisors (see below), whose sum is σ = 35310259353600. Its totient is φ = 29324128942080.

The previous prime is 32312122121317. The next prime is 32312122121329.

32312122121323 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (32312122121317) and next prime (32312122121329).

It is a cyclic number.

It is not a de Polignac number, because 32312122121323 - 25 = 32312122121291 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32312122121291 and 32312122121300.

It is not an unprimeable number, because it can be changed into a prime (32312122121329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19356318 + ... + 20959276.

It is an arithmetic number, because the mean of its divisors is an integer number (2206891209600).

Almost surely, 232312122121323 is an apocalyptic number.

32312122121323 is a deficient number, since it is larger than the sum of its proper divisors (2998137232277).

32312122121323 is a wasteful number, since it uses less digits than its factorization.

32312122121323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606122.

The product of its digits is 5184, while the sum is 28.

It can be divided in two parts, 3231212 and 2121323, that added together give a palindrome (5352535).

The spelling of 32312122121323 in words is "thirty-two trillion, three hundred twelve billion, one hundred twenty-two million, one hundred twenty-one thousand, three hundred twenty-three".

Divisors: 1 11 769 2383 8459 26213 1602959 1832527 17632549 20157797 1232675471 3819851297 13559430181 42018364267 2937465647393 32312122121323