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3424200142131 = 323147261130187
BaseRepresentation
bin110001110101000010001…
…110111010110100110011
3110010100110101200020112100
4301311002032322310303
5422100230214022011
611141020020431443
7502250604654246
oct61650216726463
913110411606470
103424200142131
11110021679103a
12473771848583
131bab92a71472
14bba3711325d
155e1109b4d56
hex31d423bad33

3424200142131 has 24 divisors (see below), whose sum is σ = 5214247593984. Its totient is φ = 2162157940080.

The previous prime is 3424200142091. The next prime is 3424200142133. The reversal of 3424200142131 is 1312410024243.

3424200142131 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 200 + 1 + 421 + 31 = 666.

It is not a de Polignac number, because 3424200142131 - 26 = 3424200142067 is a prime.

It is a super-2 number, since 2×34242001421312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3424200142095 and 3424200142104.

It is not an unprimeable number, because it can be changed into a prime (3424200142133) 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, 130551981 + ... + 130578206.

It is an arithmetic number, because the mean of its divisors is an integer number (217260316416).

Almost surely, 23424200142131 is an apocalyptic number.

3424200142131 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3424200142131 is a deficient number, since it is larger than the sum of its proper divisors (1790047451853).

3424200142131 is a wasteful number, since it uses less digits than its factorization.

3424200142131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261130271 (or 261130268 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 3424200142131 its reverse (1312410024243), we get a palindrome (4736610166374).

The spelling of 3424200142131 in words is "three trillion, four hundred twenty-four billion, two hundred million, one hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 31 47 93 141 279 423 1457 4371 13113 261130187 783390561 2350171683 8095035797 12273118789 24285107391 36819356367 72855322173 110458069101 380466682459 1141400047377 3424200142131