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2141330020 = 2251938314713
BaseRepresentation
bin111111110100010…
…0001101001100100
312112020021211120021
41333220201221210
513341140030040
6552252044524
7104031001444
oct17750415144
95466254507
102141330020
119a97a7a35
124b9163744
1328182bbab
14164568124
15c7ecd24a
hex7fa21a64

2141330020 has 48 divisors (see below), whose sum is σ = 4746147840. Its totient is φ = 809277696.

The previous prime is 2141330017. The next prime is 2141330021. The reversal of 2141330020 is 200331412.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2141329976 and 2141330003.

It is not an unprimeable number, because it can be changed into a prime (2141330021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138184 + ... + 152896.

It is an arithmetic number, because the mean of its divisors is an integer number (98878080).

Almost surely, 22141330020 is an apocalyptic number.

2141330020 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 2141330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373073920).

2141330020 is an abundant number, since it is smaller than the sum of its proper divisors (2604817820).

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

2141330020 is a wasteful number, since it uses less digits than its factorization.

2141330020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15124 (or 15122 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2141330020 is about 46274.5072367065. The cubic root of 2141330020 is about 1288.9256563971.

Adding to 2141330020 its reverse (200331412), we get a palindrome (2341661432).

The spelling of 2141330020 in words is "two billion, one hundred forty-one million, three hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 383 766 1532 1915 3830 7277 7660 14554 14713 29108 29426 36385 58852 72770 73565 145540 147130 279547 294260 559094 1118188 1397735 2795470 5590940 5635079 11270158 22540316 28175395 56350790 107066501 112701580 214133002 428266004 535332505 1070665010 2141330020