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2112155136 = 29337132373
BaseRepresentation
bin111110111100100…
…1110111000000000
312110012101121011000
41331321032320000
513311202431021
6545330452000
7103225010460
oct17571167000
95405347130
102112155136
11994290463
124ab434000
13278785650
14160731ba0
15c5668b26
hex7de4ee00

2112155136 has 640 divisors, whose sum is σ = 8139479040. Its totient is φ = 525533184.

The previous prime is 2112155119. The next prime is 2112155153. The reversal of 2112155136 is 6315512112.

2112155136 is a `hidden beast` number, since 21 + 121 + 5 + 513 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2112155119) and next prime (2112155153).

It is a super-2 number, since 2×21121551362 = 8922398637062356992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 28933596 + ... + 28933668.

It is an arithmetic number, because the mean of its divisors is an integer number (12717936).

Almost surely, 22112155136 is an apocalyptic number.

2112155136 is a gapful number since it is divisible by the number (26) 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 2112155136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4069739520).

2112155136 is an abundant number, since it is smaller than the sum of its proper divisors (6027323904).

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

2112155136 is a wasteful number, since it uses less digits than its factorization.

2112155136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 121 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 2112155136 is about 45958.1889982623. The cubic root of 2112155136 is about 1283.0451456260.

Adding to 2112155136 its reverse (6315512112), we get a palindrome (8427667248).

The spelling of 2112155136 in words is "two billion, one hundred twelve million, one hundred fifty-five thousand, one hundred thirty-six".