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2120332103120 = 2457111941943237
BaseRepresentation
bin11110110110101101101…
…001000100110111010000
321111200221120221001022002
4132312231221010313100
5234214420004244440
64302022255333132
7306121543335110
oct36665551046720
97450846831262
102120332103120
117482562169a0
122a2b26b211a8
13124c3c4a985a
14748a5d65040
153a24c1d4115
hex1edada44dd0

2120332103120 has 320 divisors, whose sum is σ = 6485284915200. Its totient is φ = 624590714880.

The previous prime is 2120332103083. The next prime is 2120332103167. The reversal of 2120332103120 is 213012330212.

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

It is a junction number, because it is equal to n+sod(n) for n = 2120332103092 and 2120332103101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49018142 + ... + 49061378.

It is an arithmetic number, because the mean of its divisors is an integer number (20266515360).

Almost surely, 22120332103120 is an apocalyptic number.

2120332103120 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 2120332103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242642457600).

2120332103120 is an abundant number, since it is smaller than the sum of its proper divisors (4364952812080).

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

2120332103120 is a wasteful number, since it uses less digits than its factorization.

2120332103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43706 (or 43700 counting only the distinct ones).

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

Adding to 2120332103120 its reverse (213012330212), we get a palindrome (2333344433332).

The spelling of 2120332103120 in words is "two trillion, one hundred twenty billion, three hundred thirty-two million, one hundred three thousand, one hundred twenty".