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2101330140 = 22357132329577
BaseRepresentation
bin111110100111111…
…1100000011011100
312102110000122001020
41331033330003130
513300420031030
6544302444140
7103034003640
oct17517740334
95373018036
102101330140
11989167488
124a7893650
13276465420
1415d114c20
15c472b510
hex7d3fc0dc

2101330140 has 384 divisors, whose sum is σ = 7830466560. Its totient is φ = 408748032.

The previous prime is 2101330103. The next prime is 2101330151. The reversal of 2101330140 is 410331012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3641532 + ... + 3642108.

It is an arithmetic number, because the mean of its divisors is an integer number (20391840).

Almost surely, 22101330140 is an apocalyptic number.

2101330140 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 2101330140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3915233280).

2101330140 is an abundant number, since it is smaller than the sum of its proper divisors (5729136420).

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

2101330140 is a wasteful number, since it uses less digits than its factorization.

2101330140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2101330140 is about 45840.2676693756. The cubic root of 2101330140 is about 1280.8494808705.

Adding to 2101330140 its reverse (410331012), we get a palindrome (2511661152).

The spelling of 2101330140 in words is "two billion, one hundred one million, three hundred thirty thousand, one hundred forty".