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422135230131 = 355929443763
BaseRepresentation
bin1100010010010010011…
…10000110111010110011
31111100121022220120100000
412021021032012322303
523404013104331011
6521532023001043
742332622152436
oct6111116067263
91440538816300
10422135230131
1115303237241a
1269990299183
1330a654ba554
1416607ca581d
15aea9d3a356
hex6249386eb3

422135230131 has 24 divisors (see below), whose sum is σ = 643051805760. Its totient is φ = 276653587752.

The previous prime is 422135230063. The next prime is 422135230189. The reversal of 422135230131 is 131032531224.

422135230131 is a `hidden beast` number, since 4 + 2 + 2 + 1 + 3 + 523 + 0 + 131 = 666.

It is not a de Polignac number, because 422135230131 - 211 = 422135228083 is a prime.

It is a super-2 number, since 2×4221352301312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 422135230095 and 422135230104.

It is not an unprimeable number, because it can be changed into a prime (422135230831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14707545 + ... + 14736218.

It is an arithmetic number, because the mean of its divisors is an integer number (26793825240).

Almost surely, 2422135230131 is an apocalyptic number.

422135230131 is a deficient number, since it is larger than the sum of its proper divisors (220916575629).

422135230131 is an equidigital number, since it uses as much as digits as its factorization.

422135230131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29443837 (or 29443825 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 422135230131 its reverse (131032531224), we get a palindrome (553167761355).

The spelling of 422135230131 in words is "four hundred twenty-two billion, one hundred thirty-five million, two hundred thirty thousand, one hundred thirty-one".

Divisors: 1 3 9 27 59 81 177 243 531 1593 4779 14337 29443763 88331289 264993867 794981601 1737182017 2384944803 5211546051 7154834409 15634638153 46903914459 140711743377 422135230131