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2181012141 = 371122741593
BaseRepresentation
bin1000000111111111…
…1001101010101101
312121222221220012110
42001333321222231
513431314342031
61000230354233
7105022203660
oct20177715255
95558856173
102181012141
11a1a140780
1250a4bb979
13289b13b39
141699376d7
15cb71ac46
hex81ff9aad

2181012141 has 32 divisors (see below), whose sum is σ = 3641637888. Its totient is φ = 1127975040.

The previous prime is 2181012121. The next prime is 2181012181. The reversal of 2181012141 is 1412101812.

It is not a de Polignac number, because 2181012141 - 211 = 2181010093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2181012121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 31641 + ... + 73233.

It is an arithmetic number, because the mean of its divisors is an integer number (113801184).

Almost surely, 22181012141 is an apocalyptic number.

2181012141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2181012141 is a deficient number, since it is larger than the sum of its proper divisors (1460625747).

2181012141 is a wasteful number, since it uses less digits than its factorization.

2181012141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41841.

The product of its (nonzero) digits is 128, while the sum is 21.

The square root of 2181012141 is about 46701.3077011768. The cubic root of 2181012141 is about 1296.8388957644.

Adding to 2181012141 its reverse (1412101812), we get a palindrome (3593113953).

The spelling of 2181012141 in words is "two billion, one hundred eighty-one million, twelve thousand, one hundred forty-one".

Divisors: 1 3 7 11 21 33 77 227 231 681 1589 2497 4767 7491 17479 41593 52437 124779 291151 457523 873453 1372569 3202661 9441611 9607983 28324833 66091277 103857721 198273831 311573163 727004047 2181012141