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2148120000 = 2635541317
BaseRepresentation
bin1000000000001001…
…1011010111000000
312112201001210200000
42000002123113000
513344404320000
6553053400000
7104142501345
oct20002332700
95481053600
102148120000
11a02615394
124bb499000
13283068630
141654147cc
15c88c0000
hex8009b5c0

2148120000 has 840 divisors, whose sum is σ = 9098225136. Its totient is φ = 497664000.

The previous prime is 2148119969. The next prime is 2148120041. The reversal of 2148120000 is 218412.

It is a super-2 number, since 2×21481200002 = 9228839068800000000, which 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 an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 126359992 + ... + 126360008.

Almost surely, 22148120000 is an apocalyptic number.

2148120000 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 2148120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4549112568).

2148120000 is an abundant number, since it is smaller than the sum of its proper divisors (6950105136).

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

2148120000 is an equidigital number, since it uses as much as digits as its factorization.

2148120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2148120000 is about 46347.8154825014. The cubic root of 2148120000 is about 1290.2865777589.

Adding to 2148120000 its reverse (218412), we get a palindrome (2148338412).

The spelling of 2148120000 in words is "two billion, one hundred forty-eight million, one hundred twenty thousand".