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1130020010200 = 235261124974159
BaseRepresentation
bin10000011100011010011…
…100001111100011011000
311000000210001000021221101
4100130122130033203120
5122003240110311300
62223042442321144
7144432643414114
oct20343234174330
94000701007841
101130020010200
113a6269921a84
121630094b91b4
1382739358313
143c99c440744
151e5db22db6a
hex1071a70f8d8

1130020010200 has 96 divisors (see below), whose sum is σ = 2672541000000. Its totient is φ = 444236083200.

The previous prime is 1130020010159. The next prime is 1130020010237. The reversal of 1130020010200 is 20100200311.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 15200721 + ... + 15274879.

It is an arithmetic number, because the mean of its divisors is an integer number (27838968750).

Almost surely, 21130020010200 is an apocalyptic number.

1130020010200 is a gapful number since it is divisible by the number (10) 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 1130020010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336270500000).

1130020010200 is an abundant number, since it is smaller than the sum of its proper divisors (1542520989800).

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

1130020010200 is a wasteful number, since it uses less digits than its factorization.

1130020010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75485 (or 75476 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 1130020010200 its reverse (20100200311), we get a palindrome (1150120210511).

The spelling of 1130020010200 in words is "one trillion, one hundred thirty billion, twenty million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1220 1249 1525 2440 2498 3050 4996 6100 6245 9992 12200 12490 24980 31225 49960 62450 74159 76189 124900 148318 152378 249800 296636 304756 370795 380945 593272 609512 741590 761890 1483180 1523780 1853975 1904725 2966360 3047560 3707950 3809450 4523699 7415900 7618900 9047398 14831800 15237800 18094796 22618495 36189592 45236990 90473980 92624591 113092475 180947960 185249182 226184950 370498364 452369900 463122955 740996728 904739800 926245910 1852491820 2315614775 3704983640 4631229550 5650100051 9262459100 11300200102 18524918200 22600400204 28250500255 45200800408 56501000510 113002001020 141252501275 226004002040 282505002550 565010005100 1130020010200