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231513450042321 = 321571413971158761
BaseRepresentation
bin110100101000111101101100…
…111100110101001111010001
31010100201110200101120220020200
4310220331230330311033101
5220321104021202323241
62140215451035325413
766523203054063666
oct6450755474651721
91110643611526220
10231513450042321
1167849337007647
1221b70a35bb0869
139c248174c9445
14412544ca75a6d
151bb72e1e104b6
hexd28f6cf353d1

231513450042321 has 24 divisors (see below), whose sum is σ = 336540976532904. Its totient is φ = 153358011106560.

The previous prime is 231513450042271. The next prime is 231513450042341. The reversal of 231513450042321 is 123240054315132.

231513450042321 is a `hidden beast` number, since 2 + 3 + 1 + 51 + 34 + 500 + 42 + 32 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 145538551812096 + 85974898230225 = 12063936^2 + 9272265^2 .

It is not a de Polignac number, because 231513450042321 - 210 = 231513450041297 is a prime.

It is a super-2 number, since 2×2315134500423212 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (231513450042341) 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, 199214581 + ... + 200373341.

It is an arithmetic number, because the mean of its divisors is an integer number (14022540688871).

Almost surely, 2231513450042321 is an apocalyptic number.

It is an amenable number.

231513450042321 is a deficient number, since it is larger than the sum of its proper divisors (105027526490583).

231513450042321 is a wasteful number, since it uses less digits than its factorization.

231513450042321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300321 (or 1300318 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 231513450042321 in words is "two hundred thirty-one trillion, five hundred thirteen billion, four hundred fifty million, forty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 157 471 1413 141397 424191 1158761 1272573 3476283 10428849 22199329 66597987 181925477 199793961 545776431 1637329293 163845329117 491535987351 1474607962053 25723716671369 77171150014107 231513450042321