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5040211221 = 321741219597
BaseRepresentation
bin1001011000110101…
…11000010100010101
3111000021001020222200
410230122320110111
540310243224341
62152045115113
7235621042233
oct45432702425
914007036880
105040211221
112157082321
12b87b58a99
1362429a606
1435b56b953
151e774adb6
hex12c6b8515

5040211221 has 36 divisors (see below), whose sum is σ = 7901560836. Its totient is φ = 3085194240.

The previous prime is 5040211217. The next prime is 5040211247. The reversal of 5040211221 is 1221120405.

It can be written as a sum of positive squares in 6 ways, for example, as 1052288721 + 3987922500 = 32439^2 + 63150^2 .

It is not a de Polignac number, because 5040211221 - 22 = 5040211217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5040211194 and 5040211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5040211201) 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, 247395 + ... + 266991.

It is an arithmetic number, because the mean of its divisors is an integer number (219487801).

Almost surely, 25040211221 is an apocalyptic number.

5040211221 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

5040211221 is a deficient number, since it is larger than the sum of its proper divisors (2861349615).

5040211221 is a wasteful number, since it uses less digits than its factorization.

5040211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19702 (or 19658 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 5040211221 is about 70994.4450009999. The cubic root of 5040211221 is about 1714.5477274129.

Adding to 5040211221 its reverse (1221120405), we get a palindrome (6261331626).

The spelling of 5040211221 in words is "five billion, forty million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 17 41 51 123 153 369 697 1681 2091 5043 6273 15129 19597 28577 58791 85731 176373 257193 333149 803477 999447 2410431 2998341 7231293 13659109 32942557 40977327 98827671 122931981 296483013 560023469 1680070407 5040211221