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332121133332 = 22333119888089
BaseRepresentation
bin1001101010100111111…
…01100101000100010100
31011202021002111200001000
410311103331211010110
520420141002231312
6412324020303300
732665162024362
oct4652375450424
91152232450030
10332121133332
111189407a318a
125444a841b30
132541b7a0a91
1412109178632
15898c626adc
hex4d53f65114

332121133332 has 48 divisors (see below), whose sum is σ = 863823542400. Its totient is φ = 110351062080.

The previous prime is 332121133321. The next prime is 332121133343. The reversal of 332121133332 is 233331121233.

332121133332 is a `hidden beast` number, since 3 + 3 + 212 + 113 + 3 + 332 = 666.

It is an interprime number because it is at equal distance from previous prime (332121133321) and next prime (332121133343).

It is a super-2 number, since 2×3321211333322 (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 nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 332121133296 and 332121133305.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4910457 + ... + 4977632.

It is an arithmetic number, because the mean of its divisors is an integer number (17996323800).

Almost surely, 2332121133332 is an apocalyptic number.

It is an amenable number.

332121133332 is an abundant number, since it is smaller than the sum of its proper divisors (531702409068).

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

332121133332 is a wasteful number, since it uses less digits than its factorization.

332121133332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9888413 (or 9888405 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 332121133332 its reverse (233331121233), we get a palindrome (565452254565).

The spelling of 332121133332 in words is "three hundred thirty-two billion, one hundred twenty-one million, one hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 311 622 933 1244 1866 2799 3732 5598 8397 11196 16794 33588 9888089 19776178 29664267 39552356 59328534 88992801 118657068 177985602 266978403 355971204 533956806 1067913612 3075195679 6150391358 9225587037 12300782716 18451174074 27676761111 36902348148 55353522222 83030283333 110707044444 166060566666 332121133332