Search a number
-
+
2141223021 = 327216192999
BaseRepresentation
bin111111110100000…
…0111100001101101
312112020002101210100
41333220013201231
513341123114041
6552245501313
7104030044500
oct17750074155
95466071710
102141223021
119a9734603
124b9111839
132817c2292
1416453b137
15c7eab6b6
hex7fa0786d

2141223021 has 36 divisors (see below), whose sum is σ = 3601260000. Its totient is φ = 1222392528.

The previous prime is 2141223011. The next prime is 2141223023. The reversal of 2141223021 is 1203221412.

It is a happy number.

2141223021 is a `hidden beast` number, since 2 + 1 + 412 + 230 + 21 = 666.

It is not a de Polignac number, because 2141223021 - 211 = 2141220973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2141222985 and 2141223003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141223023) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 712480 + ... + 715478.

It is an arithmetic number, because the mean of its divisors is an integer number (100035000).

Almost surely, 22141223021 is an apocalyptic number.

2141223021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2141223021 is a deficient number, since it is larger than the sum of its proper divisors (1460036979).

2141223021 is a wasteful number, since it uses less digits than its factorization.

2141223021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4638 (or 4628 counting only the distinct ones).

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

The square root of 2141223021 is about 46273.3510889367. The cubic root of 2141223021 is about 1288.9041874888.

Adding to 2141223021 its reverse (1203221412), we get a palindrome (3344444433).

The spelling of 2141223021 in words is "two billion, one hundred forty-one million, two hundred twenty-three thousand, twenty-one".

Divisors: 1 3 7 9 21 49 63 147 441 1619 2999 4857 8997 11333 14571 20993 26991 33999 62979 79331 101997 146951 188937 237993 440853 713979 1322559 4855381 14566143 33987667 43698429 101963001 237913669 305889003 713741007 2141223021