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332100120 = 2335114753101
BaseRepresentation
bin10011110010110…
…111001000011000
3212010220102201110
4103302313020120
51140004200440
652542020320
711141542632
oct2362671030
9763812643
10332100120
11160509810
12932776a0
1353a59961
143216ba52
151e250080
hex13cb7218

332100120 has 256 divisors, whose sum is σ = 1142138880. Its totient is φ = 76544000.

The previous prime is 332100113. The next prime is 332100127. The reversal of 332100120 is 21001233.

It is a happy number.

332100120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (332100113) and next prime (332100127).

It is a super-2 number, since 2×3321001202 = 220580979408028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 332100096 and 332100105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332100127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3288070 + ... + 3288170.

It is an arithmetic number, because the mean of its divisors is an integer number (4461480).

Almost surely, 2332100120 is an apocalyptic number.

332100120 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 332100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571069440).

332100120 is an abundant number, since it is smaller than the sum of its proper divisors (810038760).

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

332100120 is a wasteful number, since it uses less digits than its factorization.

332100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 332100120 is about 18223.6143506166. The cubic root of 332100120 is about 692.5051553353.

Adding to 332100120 its reverse (21001233), we get a palindrome (353101353).

It can be divided in two parts, 3 and 32100120, that added together give a palindrome (32100123).

The spelling of 332100120 in words is "three hundred thirty-two million, one hundred thousand, one hundred twenty".