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312312022121003 = 8310946374559523
BaseRepresentation
bin100011100000010111100111…
…1001000110011101000101011
31111221210201220210200202001112
41013000233033020303220223
5311413410010130333003
63024122055015140535
7122532541023663422
oct10700571710635053
91457721823622045
10312312022121003
119056a86a591013
122b0401b437474b
1310535b88531768
145719da80922b9
152618e445cd3d8
hex11c0bcf233a2b

312312022121003 has 16 divisors (see below), whose sum is σ = 319663520816640. Its totient is φ = 305058196596384.

The previous prime is 312312022120957. The next prime is 312312022121041. The reversal of 312312022121003 is 300121220213213.

It is a cyclic number.

It is not a de Polignac number, because 312312022121003 - 224 = 312312005343787 is a prime.

It is a super-2 number, since 2×3123120221210032 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312312022121003.

It is not an unprimeable number, because it can be changed into a prime (312312022121303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33091001 + ... + 41468522.

It is an arithmetic number, because the mean of its divisors is an integer number (19978970051040).

Almost surely, 2312312022121003 is an apocalyptic number.

312312022121003 is a deficient number, since it is larger than the sum of its proper divisors (7351498695637).

312312022121003 is a wasteful number, since it uses less digits than its factorization.

312312022121003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74560178.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 312312022121003 its reverse (300121220213213), we get a palindrome (612433242334216).

The spelling of 312312022121003 in words is "three hundred twelve trillion, three hundred twelve billion, twenty-two million, one hundred twenty-one thousand, three".

Divisors: 1 83 109 463 9047 38429 50467 4188761 74559523 6188440409 8126988007 34521059149 674540004581 2865247909367 3762795447241 312312022121003