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332422131125 = 537289609809
BaseRepresentation
bin1001101011001011110…
…01110010110110110101
31011210001001212221101102
410311211321302312311
520421300031144000
6412413531535445
733005505331100
oct4654571626665
91153031787342
10332422131125
11118a85699297
12545135ba585
1325468c5aa96
141213712b737
1589a8c813d5
hex4d65e72db5

332422131125 has 48 divisors (see below), whose sum is σ = 488018746800. Its totient is φ = 225385036800.

The previous prime is 332422131121. The next prime is 332422131133. The reversal of 332422131125 is 521131224233.

It can be written as a sum of positive squares in 8 ways, for example, as 180760175281 + 151661955844 = 425159^2 + 389438^2 .

It is not a de Polignac number, because 332422131125 - 22 = 332422131121 is a prime.

It is a super-2 number, since 2×3324221311252 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332422131121) 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, 240221 + ... + 850029.

It is an arithmetic number, because the mean of its divisors is an integer number (10167057225).

Almost surely, 2332422131125 is an apocalyptic number.

332422131125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

332422131125 is a deficient number, since it is larger than the sum of its proper divisors (155596615675).

332422131125 is an equidigital number, since it uses as much as digits as its factorization.

332422131125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609927 (or 609910 counting only the distinct ones).

The product of its digits is 8640, while the sum is 29.

Adding to 332422131125 its reverse (521131224233), we get a palindrome (853553355358).

The spelling of 332422131125 in words is "three hundred thirty-two billion, four hundred twenty-two million, one hundred thirty-one thousand, one hundred twenty-five".

Divisors: 1 5 7 25 35 49 89 125 175 245 445 623 875 1225 2225 3115 4361 6125 11125 15575 21805 77875 109025 545125 609809 3049045 4268663 15245225 21343315 29880641 54273001 76226125 106716575 149403205 271365005 379911007 533582875 747016025 1356825025 1899555035 2659377049 3735080125 6784125125 9497775175 13296885245 47488875875 66484426225 332422131125