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131222122032 = 24314431189439
BaseRepresentation
bin111101000110101110…
…0101010111000110000
3110112201002120110212210
41322031130222320300
54122220330401112
6140141013252120
712323543430231
oct1721534527060
9415632513783
10131222122032
1150718515541
1221522034040
13c4b3143271
1464cb917088
1536302bdb3c
hex1e8d72ae30

131222122032 has 40 divisors (see below), whose sum is σ = 339015761920. Its totient is φ = 43737445440.

The previous prime is 131222122013. The next prime is 131222122061. The reversal of 131222122032 is 230221222131.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 597969 + ... + 787407.

It is an arithmetic number, because the mean of its divisors is an integer number (8475394048).

Almost surely, 2131222122032 is an apocalyptic number.

131222122032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131222122032 is an abundant number, since it is smaller than the sum of its proper divisors (207793639888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131222122032 is a wasteful number, since it uses less digits than its factorization.

131222122032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203881 (or 203875 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 131222122032 its reverse (230221222131), we get a palindrome (361443344163).

The spelling of 131222122032 in words is "one hundred thirty-one billion, two hundred twenty-two million, one hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 14431 28862 43293 57724 86586 115448 173172 189439 230896 346344 378878 568317 692688 757756 1136634 1515512 2273268 3031024 4546536 9093072 2733794209 5467588418 8201382627 10935176836 16402765254 21870353672 32805530508 43740707344 65611061016 131222122032