Search a number
-
+
1200200313032 = 237192238396029
BaseRepresentation
bin10001011101110001100…
…000110110100011001000
311020201221000122001210122
4101131301200312203020
5124131002240004112
62315210414002412
7152466040223030
oct21356140664310
94221830561718
101200200313032
11423002873256
121747347a6408
1389241c51626
1442138d8c8c0
15213475a7872
hex117718368c8

1200200313032 has 128 divisors (see below), whose sum is σ = 2723051520000. Its totient is φ = 484455603456.

The previous prime is 1200200313029. The next prime is 1200200313113. The reversal of 1200200313032 is 2303130020021.

It is a super-2 number, since 2×12002003130322 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1200200313032.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199068194 + ... + 199074222.

It is an arithmetic number, because the mean of its divisors is an integer number (21273840000).

Almost surely, 21200200313032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200200313032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361525760000).

1200200313032 is an abundant number, since it is smaller than the sum of its proper divisors (1522851206968).

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

1200200313032 is a wasteful number, since it uses less digits than its factorization.

1200200313032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7123 (or 7119 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 1200200313032 its reverse (2303130020021), we get a palindrome (3503330333053).

The spelling of 1200200313032 in words is "one trillion, two hundred billion, two hundred million, three hundred thirteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 223 266 446 532 839 892 1064 1561 1678 1784 3122 3356 4237 5873 6029 6244 6712 8474 11746 12058 12488 15941 16948 23492 24116 29659 31882 33896 42203 46984 48232 59318 63764 84406 111587 114551 118636 127528 168812 187097 223174 229102 237272 337624 374194 446348 458204 748388 801857 892696 916408 1309679 1344467 1496776 1603714 2619358 2688934 3207428 3554843 5058331 5238716 5377868 6414856 7109686 9411269 10116662 10477432 10755736 14219372 18822538 20233324 24883901 25544873 28438744 35408317 37645076 40466648 49767802 51089746 70816634 75290152 96108289 99535604 102179492 141633268 178814111 192216578 199071208 204358984 283266536 357628222 384433156 672758023 715256444 768866312 1128007813 1345516046 1430512888 2256015626 2691032092 4512031252 5382064184 7896054691 9024062504 15792109382 21432148447 31584218764 42864296894 63168437528 85728593788 150025039129 171457187576 300050078258 600100156516 1200200313032