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312022021332133 = 72171705321965417
BaseRepresentation
bin100011011110010000100100…
…1101111100101110010100101
31111220210000101011001021022101
41012330201021233211302211
5311344132044430112013
63023340534315532101
7122502563363646100
oct10674411157456245
91456700334037271
10312022021332133
1190468883710072
122abb3b5b75a031
13105147201a5238
145709d36d49737
15261161ebc38dd
hex11bc849be5ca5

312022021332133 has 24 divisors (see below), whose sum is σ = 384337792774872. Its totient is φ = 251700471880704.

The previous prime is 312022021332101. The next prime is 312022021332137. The reversal of 312022021332133 is 331233120220213.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 150294285934849 + 161727735397284 = 12259457^2 + 12717222^2 .

It is not a de Polignac number, because 312022021332133 - 25 = 312022021332101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312022021332137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3222441 + ... + 25187857.

It is an arithmetic number, because the mean of its divisors is an integer number (16014074698953).

Almost surely, 2312022021332133 is an apocalyptic number.

It is an amenable number.

312022021332133 is a deficient number, since it is larger than the sum of its proper divisors (72315771442739).

312022021332133 is a wasteful number, since it uses less digits than its factorization.

312022021332133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21982501 (or 21982494 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 312022021332133 its reverse (331233120220213), we get a palindrome (643255141552346).

The spelling of 312022021332133 in words is "three hundred twelve trillion, twenty-two billion, twenty-one million, three hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 7 17 49 119 833 17053 119371 289901 835597 2029307 14205149 21965417 153757919 373412089 1076305433 2613884623 18297192361 374576256101 2622033792707 6367796353717 18354236548949 44574574476019 312022021332133