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332002220112100 = 22526154426593461
BaseRepresentation
bin100101101111101000100101…
…0011001001111100011100100
31121112112002202120000120120101
41023133101022121033203210
5322004011021322041400
63134035414145113444
7126634240341260356
oct11337211231174344
91545462676016511
10332002220112100
1196871394a7844a
12312a0307928884
13113338a102c215
145bdadc94670d6
15285b2164a656a
hex12df44a64f8e4

332002220112100 has 36 divisors (see below), whose sum is σ = 732255388437748. Its totient is φ = 130623824304000.

The previous prime is 332002220112041. The next prime is 332002220112149. The reversal of 332002220112100 is 1211022200233.

It can be written as a sum of positive squares in 6 ways, for example, as 13359156580324 + 318643063531776 = 3655018^2 + 17850576^2 .

It is a super-2 number, since 2×3320022201121002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27213290631 + ... + 27213302830.

Almost surely, 2332002220112100 is an apocalyptic number.

It is an amenable number.

332002220112100 is an abundant number, since it is smaller than the sum of its proper divisors (400253168325648).

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

332002220112100 is a wasteful number, since it uses less digits than its factorization.

332002220112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54426593536 (or 54426593529 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 332002220112100 its reverse (1211022200233), we get a palindrome (333213242312333).

The spelling of 332002220112100 in words is "three hundred thirty-two trillion, two billion, two hundred twenty million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 54426593461 108853186922 217706373844 272132967305 544265934610 1088531869220 1360664836525 2721329673050 3320022201121 5442659346100 6640044402242 13280088804484 16600111005605 33200222011210 66400444022420 83000555028025 166001110056050 332002220112100