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2112153120 = 2532571143443
BaseRepresentation
bin111110111100100…
…1110011000100000
312110012101111101100
41331321032120200
513311202344440
6545330434400
7103225001550
oct17571163040
95405344340
102112153120
119942899a0
124ab432a00
1327878475c
14160731160
15c5668230
hex7de4e620

2112153120 has 576 divisors, whose sum is σ = 9215990784. Its totient is φ = 427714560.

The previous prime is 2112153061. The next prime is 2112153137. The reversal of 2112153120 is 213512112.

2112153120 is a `hidden beast` number, since 2 + 112 + 1 + 531 + 20 = 666.

2112153120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21121531202 = 8922381604651468800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2112153093 and 2112153102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4767619 + ... + 4768061.

It is an arithmetic number, because the mean of its divisors is an integer number (15999984).

Almost surely, 22112153120 is an apocalyptic number.

2112153120 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 2112153120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4607995392).

2112153120 is an abundant number, since it is smaller than the sum of its proper divisors (7103837664).

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

2112153120 is a wasteful number, since it uses less digits than its factorization.

2112153120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 2112153120 is about 45958.1670652780. The cubic root of 2112153120 is about 1283.0447374142.

Adding to 2112153120 its reverse (213512112), we get a palindrome (2325665232).

The spelling of 2112153120 in words is "two billion, one hundred twelve million, one hundred fifty-three thousand, one hundred twenty".