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1002221331 = 33712497229
BaseRepresentation
bin111011101111001…
…010111100010011
32120211212010012120
4323233022330103
54023032040311
6243241025323
733556512036
oct7357127423
92524763176
101002221331
114748007a1
1223b785243
1312c837297
149716901d
155cebe706
hex3bbcaf13

1002221331 has 16 divisors (see below), whose sum is σ = 1373700000. Its totient is φ = 649479168.

The previous prime is 1002221327. The next prime is 1002221333. The reversal of 1002221331 is 1331222001.

It is not a de Polignac number, because 1002221331 - 22 = 1002221327 is a prime.

It is a super-2 number, since 2×10022213312 = 2008895192622823122, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1002221331.

It is not an unprimeable number, because it can be changed into a prime (1002221333) 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 15 ways as a sum of consecutive naturals, for example, 135025 + ... + 142253.

It is an arithmetic number, because the mean of its divisors is an integer number (85856250).

Almost surely, 21002221331 is an apocalyptic number.

1002221331 is a deficient number, since it is larger than the sum of its proper divisors (371478669).

1002221331 is a wasteful number, since it uses less digits than its factorization.

1002221331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8518.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1002221331 is about 31657.8794457241. The cubic root of 1002221331 is about 1000.7398960854.

Adding to 1002221331 its reverse (1331222001), we get a palindrome (2333443332).

The spelling of 1002221331 in words is "one billion, two million, two hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 37 111 1249 3747 7229 21687 46213 138639 267473 802419 9029021 27087063 334073777 1002221331