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1332020123100 = 22325211317417523
BaseRepresentation
bin10011011000100010100…
…101100001010111011100
311201100011202212020112100
4103120202211201113130
5133310434122414400
62455531022005100
7165143462143062
oct23304245412734
94640152766470
101332020123100
114739a76a7647
121961a2a16790
13987bbb61044
144868200a032
15249b0089100
hex136229615dc

1332020123100 has 216 divisors, whose sum is σ = 4215070811952. Its totient is φ = 351812966400.

The previous prime is 1332020123099. The next prime is 1332020123141. The reversal of 1332020123100 is 13210202331.

1332020123100 is a `hidden beast` number, since 1 + 3 + 320 + 20 + 12 + 310 + 0 = 666.

It is a super-2 number, since 2×13320201231002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 177055939 + ... + 177063461.

It is an arithmetic number, because the mean of its divisors is an integer number (19514216722).

Almost surely, 21332020123100 is an apocalyptic number.

1332020123100 is a gapful number since it is divisible by the number (10) 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 1332020123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107535405976).

1332020123100 is an abundant number, since it is smaller than the sum of its proper divisors (2883050688852).

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

1332020123100 is a wasteful number, since it uses less digits than its factorization.

1332020123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9397 (or 9387 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1332020123100 its reverse (13210202331), we get a palindrome (1345230325431).

The spelling of 1332020123100 in words is "one trillion, three hundred thirty-two billion, twenty million, one hundred twenty-three thousand, one hundred".