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332121101312 = 21071113457709
BaseRepresentation
bin1001101010100111111…
…01011101010000000000
31011202021002110001010002
410311103331131100000
520420141000220222
6412324015455132
732665161532130
oct4652375352000
91152232401102
10332121101312
11118940781120
125444a8274a8
132541b78c330
141210916aac0
15898c61c392
hex4d53f5d400

332121101312 has 352 divisors, whose sum is σ = 894624810240. Its totient is φ = 119014686720.

The previous prime is 332121101293. The next prime is 332121101327. The reversal of 332121101312 is 213101121233.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×3321211013122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 468435614 + ... + 468436322.

Almost surely, 2332121101312 is an apocalyptic number.

332121101312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332121101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447312405120).

332121101312 is an abundant number, since it is smaller than the sum of its proper divisors (562503708928).

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

332121101312 is a wasteful number, since it uses less digits than its factorization.

332121101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 332121101312 its reverse (213101121233), we get a palindrome (545222222545).

The spelling of 332121101312 in words is "three hundred thirty-two billion, one hundred twenty-one million, one hundred one thousand, three hundred twelve".