Search a number
-
+
1002201321 = 31189341233
BaseRepresentation
bin111011101111000…
…110000011101001
32120211211002202110
4323233012003221
54023030420241
6243240352533
733556366512
oct7357060351
92524732673
101002201321
11474797760
1223b775749
1312c82b144
1497161a09
155ceb8816
hex3bbc60e9

1002201321 has 16 divisors (see below), whose sum is σ = 1474130880. Its totient is φ = 600568320.

The previous prime is 1002201307. The next prime is 1002201353. The reversal of 1002201321 is 1231022001.

It is not a de Polignac number, because 1002201321 - 217 = 1002070249 is a prime.

It is a super-3 number, since 3×10022013213 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1002201297 and 1002201306.

It is not an unprimeable number, because it can be changed into a prime (1002201371) 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 15 ways as a sum of consecutive naturals, for example, 167680 + ... + 173553.

It is an arithmetic number, because the mean of its divisors is an integer number (92133180).

Almost surely, 21002201321 is an apocalyptic number.

1002201321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002201321 is a deficient number, since it is larger than the sum of its proper divisors (471929559).

1002201321 is a wasteful number, since it uses less digits than its factorization.

1002201321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341336.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1002201321 is about 31657.5634090812. The cubic root of 1002201321 is about 1000.7332359004.

Adding to 1002201321 its reverse (1231022001), we get a palindrome (2233223322).

The spelling of 1002201321 in words is "one billion, two million, two hundred one thousand, three hundred twenty-one".

Divisors: 1 3 11 33 89 267 979 2937 341233 1023699 3753563 11260689 30369737 91109211 334067107 1002201321