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1002134322 = 233710126249
BaseRepresentation
bin111011101110110…
…101101100110010
32120211200200212000
4323232311230302
54023021244242
6243235114430
733556000260
oct7356655462
92524620760
101002134322
11474751392
1223b742a16
1312c8067b7
1497145430
155cea3a4c
hex3bbb5b32

1002134322 has 64 divisors (see below), whose sum is σ = 2570400000. Its totient is φ = 283478400.

The previous prime is 1002134299. The next prime is 1002134327. The reversal of 1002134322 is 2234312001.

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 = 1002134295 and 1002134304.

It is not an unprimeable number, because it can be changed into a prime (1002134327) 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 31 ways as a sum of consecutive naturals, for example, 25054 + ... + 51302.

It is an arithmetic number, because the mean of its divisors is an integer number (40162500).

Almost surely, 21002134322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002134322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285200000).

1002134322 is an abundant number, since it is smaller than the sum of its proper divisors (1568265678).

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

1002134322 is a wasteful number, since it uses less digits than its factorization.

1002134322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26368 (or 26362 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1002134322 is about 31656.5052082506. The cubic root of 1002134322 is about 1000.7109351181.

Adding to 1002134322 its reverse (2234312001), we get a palindrome (3236446323).

The spelling of 1002134322 in words is "one billion, two million, one hundred thirty-four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 101 126 189 202 303 378 606 707 909 1414 1818 2121 2727 4242 5454 6363 12726 19089 26249 38178 52498 78747 157494 183743 236241 367486 472482 551229 708723 1102458 1417446 1653687 2651149 3307374 4961061 5302298 7953447 9922122 15906894 18558043 23860341 37116086 47720682 55674129 71581023 111348258 143162046 167022387 334044774 501067161 1002134322