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2100332121300 = 22325271731927087
BaseRepresentation
bin11110100100000101100…
…011001100110011010100
321102210022202102200222200
4132210011203030303110
5233402440010340200
64244513530324500
7304513121315160
oct36440543146324
97383282380880
102100332121300
1173a8227aa5a6
1229b084b89730
131230a2b0a29a
1473929a85ca0
153997b46d800
hex1e9058cccd4

2100332121300 has 216 divisors, whose sum is σ = 7567350825216. Its totient is φ = 477300660480.

The previous prime is 2100332121271. The next prime is 2100332121301. The reversal of 2100332121300 is 31212330012.

2100332121300 is a `hidden beast` number, since 2 + 10 + 0 + 332 + 1 + 21 + 300 = 666.

It is a super-2 number, since 2×21003321213002 (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 not an unprimeable number, because it can be changed into a prime (2100332121301) by changing a digit.

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, 126357 + ... + 2053443.

Almost surely, 22100332121300 is an apocalyptic number.

2100332121300 is a gapful number since it is divisible by the number (20) 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 2100332121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783675412608).

2100332121300 is an abundant number, since it is smaller than the sum of its proper divisors (5467018703916).

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

2100332121300 is a wasteful number, since it uses less digits than its factorization.

2100332121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927287 (or 1927277 counting only the distinct ones).

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

Adding to 2100332121300 its reverse (31212330012), we get a palindrome (2131544451312).

The spelling of 2100332121300 in words is "two trillion, one hundred billion, three hundred thirty-two million, one hundred twenty-one thousand, three hundred".