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330121003222100 = 22524182737892477
BaseRepresentation
bin100101100001111100100100…
…1001000010100010001010100
31121021212021000022112220211202
41023003321021020110101110
5321232200303311101400
63130035254550252032
7126351312130452416
oct11303711110242124
91537767008486752
10330121003222100
119620659309a272
12310377b4057018
131122837a82606c
145b73d284749b6
1528273117094d5
hex12c3e49214454

330121003222100 has 36 divisors (see below), whose sum is σ = 716364380424924. Its totient is φ = 132048068858880.

The previous prime is 330121003222081. The next prime is 330121003222151. The reversal of 330121003222100 is 1222300121033.

It can be written as a sum of positive squares in 6 ways, for example, as 132537610200004 + 197583393022096 = 11512498^2 + 14056436^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 37881062 + ... + 45773538.

It is an arithmetic number, because the mean of its divisors is an integer number (19899010567359).

Almost surely, 2330121003222100 is an apocalyptic number.

It is an amenable number.

330121003222100 is an abundant number, since it is smaller than the sum of its proper divisors (386243377202824).

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

330121003222100 is a wasteful number, since it uses less digits than its factorization.

330121003222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8310764 (or 8310757 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 330121003222100 its reverse (1222300121033), we get a palindrome (331343303343133).

The spelling of 330121003222100 in words is "three hundred thirty trillion, one hundred twenty-one billion, three million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 418273 836546 1673092 2091365 4182730 7892477 8365460 10456825 15784954 20913650 31569908 39462385 41827300 78924770 157849540 197311925 394623850 789247700 3301210032221 6602420064442 13204840128884 16506050161105 33012100322210 66024200644420 82530250805525 165060501611050 330121003222100