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332112020331000 = 233537135572184071
BaseRepresentation
bin100101110000011011101101…
…0111111110101100111111000
31121112220121011201111121210110
41023200313122333311213320
5322012310404201043000
63134202053400544320
7126645205315604550
oct11340673277654770
91545817151447713
10332112020331000
1196903a0a375008
12312b964b7820a0
131134104c01a650
145c02443cc4160
15285dee0c89850
hex12e0ddaff59f8

332112020331000 has 512 divisors, whose sum is σ = 1277600348344320. Its totient is φ = 69946152192000.

The previous prime is 332112020330947. The next prime is 332112020331023. The reversal of 332112020331000 is 133020211233.

It is a super-2 number, since 2×3321120203310002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 150968965 + ... + 153153035.

It is an arithmetic number, because the mean of its divisors is an integer number (2495313180360).

Almost surely, 2332112020331000 is an apocalyptic number.

332112020331000 is a gapful number since it is divisible by the number (30) 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 332112020331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638800174172160).

332112020331000 is an abundant number, since it is smaller than the sum of its proper divisors (945488328013320).

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

332112020331000 is a wasteful number, since it uses less digits than its factorization.

332112020331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184672 (or 2184658 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 332112020331000 its reverse (133020211233), we get a palindrome (332245040542233).

The spelling of 332112020331000 in words is "three hundred thirty-two trillion, one hundred twelve billion, twenty million, three hundred thirty-one thousand".