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2141224001 = 72174359779
BaseRepresentation
bin111111110100000…
…0111110001000001
312112020002110010122
41333220013301001
513341123132001
6552245510025
7104030050400
oct17750076101
95466073118
102141224001
119a9735314
124b9112315
132817c2867
1416453b637
15c7eabb1b
hex7fa07c41

2141224001 has 24 divisors (see below), whose sum is σ = 2698708320. Its totient is φ = 1687174272.

The previous prime is 2141223983. The next prime is 2141224039. The reversal of 2141224001 is 1004221412.

It is not a de Polignac number, because 2141224001 - 214 = 2141207617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2141224051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5930 + ... + 65708.

It is an arithmetic number, because the mean of its divisors is an integer number (112446180).

Almost surely, 22141224001 is an apocalyptic number.

It is an amenable number.

2141224001 is a deficient number, since it is larger than the sum of its proper divisors (557484319).

2141224001 is a wasteful number, since it uses less digits than its factorization.

2141224001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59853 (or 59846 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2141224001 is about 46273.3616781837. The cubic root of 2141224001 is about 1288.9043841250.

Adding to 2141224001 its reverse (1004221412), we get a palindrome (3145445413).

The spelling of 2141224001 in words is "two billion, one hundred forty-one million, two hundred twenty-four thousand, one".

Divisors: 1 7 17 43 49 119 301 731 833 2107 5117 35819 59779 418453 1016243 2570497 2929171 7113701 17993479 43698449 49795907 125954353 305889143 2141224001