Search a number
-
+
1004222121 = 3722928123
BaseRepresentation
bin111011110110110…
…011011010101001
32120222121202202220
4323312303122221
54024040101441
6243351544253
733612514200
oct7366633251
92528552686
101004222121
11475947a41
1224038b089
13130087b96
149752a237
155d267466
hex3bdb36a9

1004222121 has 36 divisors (see below), whose sum is σ = 1613328912. Its totient is φ = 553985376.

The previous prime is 1004222119. The next prime is 1004222173. The reversal of 1004222121 is 1212224001.

It is not a de Polignac number, because 1004222121 - 21 = 1004222119 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1004222121.

It is not an unprimeable number, because it can be changed into a prime (1004222101) 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 35 ways as a sum of consecutive naturals, for example, 119566 + ... + 127688.

It is an arithmetic number, because the mean of its divisors is an integer number (44814692).

Almost surely, 21004222121 is an apocalyptic number.

It is an amenable number.

1004222121 is a deficient number, since it is larger than the sum of its proper divisors (609106791).

1004222121 is an equidigital number, since it uses as much as digits as its factorization.

1004222121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8198 (or 8162 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1004222121 is about 31689.4638799712. The cubic root of 1004222121 is about 1001.4053975990.

Adding to 1004222121 its reverse (1212224001), we get a palindrome (2216446122).

The spelling of 1004222121 in words is "one billion, four million, two hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 7 21 29 49 87 147 203 609 841 1421 2523 4263 5887 8123 17661 24369 41209 56861 123627 170583 235567 398027 706701 1194081 1648969 4946907 6831443 11542783 20494329 34628349 47820101 143460303 334740707 1004222121