Search a number
-
+
2141212203 = 32131710710061
BaseRepresentation
bin111111110100000…
…0100111000101011
312112020001211221200
41333220010320223
513341122242303
6552245335243
7104030001114
oct17750047053
95466054850
102141212203
119a9727469
124b9107523
132817ba390
1416453720b
15c7ea83a3
hex7fa04e2b

2141212203 has 48 divisors (see below), whose sum is σ = 3560016096. Its totient is φ = 1228446720.

The previous prime is 2141212193. The next prime is 2141212207. The reversal of 2141212203 is 3022121412.

It is a happy number.

It is not a de Polignac number, because 2141212203 - 210 = 2141211179 is a prime.

It is a super-2 number, since 2×21412122032 = 9169579396552226418, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2141212207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207793 + ... + 217853.

It is an arithmetic number, because the mean of its divisors is an integer number (74167002).

Almost surely, 22141212203 is an apocalyptic number.

2141212203 is a deficient number, since it is larger than the sum of its proper divisors (1418803893).

2141212203 is a wasteful number, since it uses less digits than its factorization.

2141212203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10204 (or 10201 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2141212203 is about 46273.2341964553. The cubic root of 2141212203 is about 1288.9020168619.

Adding to 2141212203 its reverse (3022121412), we get a palindrome (5163333615).

It can be divided in two parts, 2141212 and 203, that added together give a triangular number (2141415 = T2069).

The spelling of 2141212203 in words is "two billion, one hundred forty-one million, two hundred twelve thousand, two hundred three".

Divisors: 1 3 9 13 17 39 51 107 117 153 221 321 663 963 1391 1819 1989 4173 5457 10061 12519 16371 23647 30183 70941 90549 130793 171037 212823 392379 513111 1076527 1177137 1539333 2223481 3229581 6670443 9688743 13994851 18300959 20011329 41984553 54902877 125953659 164708631 237912467 713737401 2141212203