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42141022311331 = 169335251706117
BaseRepresentation
bin10011001010011101110001…
…01010100101001110100011
312112012122100022010112112101
421211032320222211032203
521010414303202430311
6225343152434511231
711606405550315436
oct1145167052451643
9175178308115471
1042141022311331
11124779a8531699
124887267135517
131a68b5c440468
14a598ca27181d
154d12b8557ec1
hex2653b8aa53a3

42141022311331 has 8 divisors (see below), whose sum is σ = 42167169520784. Its totient is φ = 42114876588000.

The previous prime is 42141022311317. The next prime is 42141022311403. The reversal of 42141022311331 is 13311322014124.

42141022311331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42141022311331 - 221 = 42141020214179 is a prime.

It is a super-2 number, since 2×421410223113312 (a number of 28 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 42141022311331.

It is not an unprimeable number, because it can be changed into a prime (42141022011331) 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 7 ways as a sum of consecutive naturals, for example, 59326885 + ... + 60033001.

It is an arithmetic number, because the mean of its divisors is an integer number (5270896190098).

Almost surely, 242141022311331 is an apocalyptic number.

42141022311331 is a deficient number, since it is larger than the sum of its proper divisors (26147209453).

42141022311331 is a wasteful number, since it uses less digits than its factorization.

42141022311331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743061.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 42141022311331 its reverse (13311322014124), we get a palindrome (55452344325455).

The spelling of 42141022311331 in words is "forty-two trillion, one hundred forty-one billion, twenty-two million, three hundred eleven thousand, three hundred thirty-one".

Divisors: 1 1693 35251 706117 59679943 1195456081 24891330367 42141022311331