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2112142500 = 223354132983
BaseRepresentation
bin111110111100100…
…1011110010100100
312110012100221211000
41331321023302210
513311202030000
6545330313300
7103224625566
oct17571136244
95405327730
102112142500
11994281a16
124ab428830
1327877c980
1416072b336
15c5665000
hex7de4bca4

2112142500 has 480 divisors, whose sum is σ = 7715030400. Its totient is φ = 495936000.

The previous prime is 2112142469. The next prime is 2112142517. The reversal of 2112142500 is 52412112.

2112142500 is a `hidden beast` number, since 2 + 1 + 121 + 42 + 500 = 666.

It is a super-2 number, since 2×21121425002 = 8922291880612500000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25447459 + ... + 25447541.

It is an arithmetic number, because the mean of its divisors is an integer number (16072980).

Almost surely, 22112142500 is an apocalyptic number.

2112142500 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 2112142500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3857515200).

2112142500 is an abundant number, since it is smaller than the sum of its proper divisors (5602887900).

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

2112142500 is a wasteful number, since it uses less digits than its factorization.

2112142500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2112142500 is about 45958.0515252768. The cubic root of 2112142500 is about 1283.0425870086.

Adding to 2112142500 its reverse (52412112), we get a palindrome (2164554612).

The spelling of 2112142500 in words is "two billion, one hundred twelve million, one hundred forty-two thousand, five hundred".