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133121223232 = 262971724797
BaseRepresentation
bin111101111111010100…
…1001010101001000000
3110201121110001210222021
41323332221022221000
54140113013120412
6141053253451224
712421603504354
oct1737651125100
9421543053867
10133121223232
1151502507368
1221972040b14
13c72672099a
14662bc29464
1536e1da0607
hex1efea4aa40

133121223232 has 28 divisors (see below), whose sum is σ = 273271480380. Its totient is φ = 64265417216.

The previous prime is 133121223163. The next prime is 133121223241. The reversal of 133121223232 is 232322121331.

It can be written as a sum of positive squares in 2 ways, for example, as 25159035456 + 107962187776 = 158616^2 + 328576^2 .

It is a junction number, because it is equal to n+sod(n) for n = 133121223197 and 133121223206.

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 3 ways as a sum of consecutive naturals, for example, 35860543 + ... + 35864254.

Almost surely, 2133121223232 is an apocalyptic number.

It is an amenable number.

133121223232 is an abundant number, since it is smaller than the sum of its proper divisors (140150257148).

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

133121223232 is an equidigital number, since it uses as much as digits as its factorization.

133121223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71724838 (or 71724828 counting only the distinct ones).

The product of its digits is 2592, while the sum is 25.

Adding to 133121223232 its reverse (232322121331), we get a palindrome (365443344563).

It can be divided in two parts, 13312 and 1223232, that added together give a square (1236544 = 11122).

The spelling of 133121223232 in words is "one hundred thirty-three billion, one hundred twenty-one million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1856 71724797 143449594 286899188 573798376 1147596752 2080019113 2295193504 4160038226 4590387008 8320076452 16640152904 33280305808 66560611616 133121223232