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1130002002 = 23517233587
BaseRepresentation
bin100001101011010…
…0111011001010010
32220202022001100000
41003112213121102
54303240031002
6304043510430
740000600323
oct10326473122
92822261300
101130002002
1152a947258
12276528416
1315015684c
14aa10c44a
156931061c
hex435a7652

1130002002 has 96 divisors (see below), whose sum is σ = 2704508352. Its totient is φ = 352387584.

The previous prime is 1130002001. The next prime is 1130002021. The reversal of 1130002002 is 2002000311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

1130002002 is a modest number, since divided by 2002 gives 1130 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1130002001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1924753 + ... + 1925339.

It is an arithmetic number, because the mean of its divisors is an integer number (28171962).

Almost surely, 21130002002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130002002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352254176).

1130002002 is an abundant number, since it is smaller than the sum of its proper divisors (1574506350).

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

1130002002 is a wasteful number, since it uses less digits than its factorization.

1130002002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1130002002 is about 33615.5024058841. The cubic root of 1130002002 is about 1041.5810524224.

Adding to 1130002002 its reverse (2002000311), we get a palindrome (3132002313).

The spelling of 1130002002 in words is "one billion, one hundred thirty million, two thousand, two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 233 243 306 459 466 486 587 699 918 1174 1377 1398 1761 2097 2754 3522 3961 4131 4194 5283 6291 7922 8262 9979 10566 11883 12582 15849 18873 19958 23766 29937 31698 35649 37746 47547 56619 59874 71298 89811 95094 106947 113238 136771 142641 179622 213894 269433 273542 285282 320841 410313 538866 641682 808299 820626 962523 1230939 1616598 1925046 2325107 2424897 2461878 3692817 4650214 4849794 6975321 7385634 11078451 13950642 20925963 22156902 33235353 41851926 62777889 66470706 125555778 188333667 376667334 565001001 1130002002