Search a number
-
+
133202112140100 = 223523185631672639
BaseRepresentation
bin11110010010010110001000…
…100100111101001101000100
3122110121222221012221002020110
4132102112020210331031010
5114424340411201440400
61151144112222033020
740025351340621453
oct3622261044751504
9573558835832213
10133202112140100
1139495775805233
1212b33565a18770
135942b9cb82aa3
1424c70338a2b9a
15105ed5c8c5e50
hex79258893d344

133202112140100 has 144 divisors (see below), whose sum is σ = 397877005352960. Its totient is φ = 34370703734400.

The previous prime is 133202112140099. The next prime is 133202112140107. The reversal of 133202112140100 is 1041211202331.

It is not an unprimeable number, because it can be changed into a prime (133202112140107) 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, 78799581 + ... + 80472219.

Almost surely, 2133202112140100 is an apocalyptic number.

133202112140100 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 133202112140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198938502676480).

133202112140100 is an abundant number, since it is smaller than the sum of its proper divisors (264674893212860).

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

133202112140100 is a wasteful number, since it uses less digits than its factorization.

133202112140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681250 (or 1681243 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 133202112140100 its reverse (1041211202331), we get a palindrome (134243323342431).

The spelling of 133202112140100 in words is "one hundred thirty-three trillion, two hundred two billion, one hundred twelve million, one hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 8563 9300 17126 25689 34252 42815 51378 85630 102756 128445 171260 214075 256890 265453 428150 513780 530906 642225 796359 856300 1061812 1284450 1327265 1592718 1672639 2568900 2654530 3185436 3345278 3981795 5017917 5309060 6636325 6690556 7963590 8363195 10035834 13272650 15927180 16726390 19908975 20071668 25089585 26545300 33452780 39817950 41815975 50179170 51851809 79635900 83631950 100358340 103703618 125447925 155555427 167263900 207407236 250895850 259259045 311110854 501791700 518518090 622221708 777777135 1037036180 1296295225 1555554270 2592590450 3111108540 3888885675 5185180900 7777771350 14322807757 15555542700 28645615514 42968423271 57291231028 71614038785 85936846542 143228077570 171873693084 214842116355 286456155140 358070193925 429684232710 444007040467 716140387850 859368465420 888014080934 1074210581775 1332021121401 1432280775700 1776028161868 2148421163550 2220035202335 2664042242802 4296842327100 4440070404670 5328084485604 6660105607005 8880140809340 11100176011675 13320211214010 22200352023350 26640422428020 33300528035025 44400704046700 66601056070050 133202112140100