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354111421131 = 321314923387179
BaseRepresentation
bin1010010011100101010…
…11110111101011001011
31020212000122010000212200
411021302223313223023
521300210010434011
6430402044411243
734404132262536
oct5116253675313
91225018100780
10354111421131
111271a5735956
1258767246b23
13275146021b0
14131d390ba1d
159327e87856
hex5272af7acb

354111421131 has 48 divisors (see below), whose sum is σ = 556923276000. Its totient is φ = 215520754176.

The previous prime is 354111421129. The next prime is 354111421141. The reversal of 354111421131 is 131124111453.

354111421131 is a `hidden beast` number, since 3 + 5 + 411 + 1 + 4 + 211 + 31 = 666.

It is not a de Polignac number, because 354111421131 - 21 = 354111421129 is a prime.

It is a super-2 number, since 2×3541114211312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 354111421095 and 354111421104.

It is not an unprimeable number, because it can be changed into a prime (354111421141) 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 47 ways as a sum of consecutive naturals, for example, 4018300 + ... + 4105478.

It is an arithmetic number, because the mean of its divisors is an integer number (11602568250).

Almost surely, 2354111421131 is an apocalyptic number.

354111421131 is a deficient number, since it is larger than the sum of its proper divisors (202811854869).

354111421131 is a wasteful number, since it uses less digits than its factorization.

354111421131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87580 (or 87577 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

Adding to 354111421131 its reverse (131124111453), we get a palindrome (485235532584).

The spelling of 354111421131 in words is "three hundred fifty-four billion, one hundred eleven million, four hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 13 39 117 149 233 447 699 1341 1937 2097 3029 5811 9087 17433 27261 34717 87179 104151 261537 312453 451321 784611 1133327 1353963 3399981 4061889 10199943 12989671 20312707 38969013 60938121 116907039 168865723 182814363 264065191 506597169 792195573 1519791507 2376586719 3026593343 9079780029 27239340087 39345713459 118037140377 354111421131