Search a number
-
+
1002130332 = 2237231972633
BaseRepresentation
bin111011101110110…
…100101110011100
32120211200111101020
4323232310232130
54023021132312
6243235044140
733555652530
oct7356645634
92524614336
101002130332
11474749395
1223b740650
1312c804a38
1497143bc0
155cea278c
hex3bbb4b9c

1002130332 has 96 divisors (see below), whose sum is σ = 2803756032. Its totient is φ = 272380416.

The previous prime is 1002130321. The next prime is 1002130333. The reversal of 1002130332 is 2330312001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002130333) 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, 379288 + ... + 381920.

It is an arithmetic number, because the mean of its divisors is an integer number (29205792).

Almost surely, 21002130332 is an apocalyptic number.

1002130332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002130332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401878016).

1002130332 is an abundant number, since it is smaller than the sum of its proper divisors (1801625700).

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

1002130332 is a wasteful number, since it uses less digits than its factorization.

1002130332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1002130332 is about 31656.4421879655. The cubic root of 1002130332 is about 1000.7096070055.

Adding to 1002130332 its reverse (2330312001), we get a palindrome (3332442333).

The spelling of 1002130332 in words is "one billion, two million, one hundred thirty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 197 276 322 394 483 591 644 788 966 1182 1379 1932 2364 2633 2758 4137 4531 5266 5516 7899 8274 9062 10532 13593 15798 16548 18124 18431 27186 31596 31717 36862 54372 55293 60559 63434 73724 95151 110586 121118 126868 181677 190302 221172 242236 363354 380604 423913 518701 726708 847826 1037402 1271739 1556103 1695652 2074804 2543478 3112206 3630907 5086956 6224412 7261814 10892721 11930123 14523628 21785442 23860246 35790369 43570884 47720492 71580738 83510861 143161476 167021722 250532583 334043444 501065166 1002130332