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1023331122 = 232112469849
BaseRepresentation
bin111100111111101…
…100101100110010
32122022120121101200
4330333230230302
54043433043442
6245313312030
734234112442
oct7477545462
92568517350
101023331122
11485709900
12246865616
13134018898
1499ca2122
155ec8e34c
hex3cfecb32

1023331122 has 36 divisors (see below), whose sum is σ = 2437111950. Its totient is φ = 310099680.

The previous prime is 1023331093. The next prime is 1023331123. The reversal of 1023331122 is 2211333201.

It can be written as a sum of positive squares in only one way, i.e., 837581481 + 185749641 = 28941^2 + 13629^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1023331095 and 1023331104.

It is not an unprimeable number, because it can be changed into a prime (1023331123) 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 17 ways as a sum of consecutive naturals, for example, 232747 + ... + 237102.

Almost surely, 21023331122 is an apocalyptic number.

1023331122 is an abundant number, since it is smaller than the sum of its proper divisors (1413780828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1023331122 is a wasteful number, since it uses less digits than its factorization.

1023331122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469879 (or 469865 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1023331122 is about 31989.5470740053. The cubic root of 1023331122 is about 1007.7173302726.

Adding to 1023331122 its reverse (2211333201), we get a palindrome (3234664323).

The spelling of 1023331122 in words is "one billion, twenty-three million, three hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 469849 939698 1409547 2819094 4228641 5168339 8457282 10336678 15505017 31010034 46515051 56851729 93030102 113703458 170555187 341110374 511665561 1023331122