Search a number
-
+
200203111012002 = 237292333132253841
BaseRepresentation
bin101101100001010101101011…
…010100001001011010100010
3222020212020020000211112020120
4231201111223110021122202
5202220111432404341002
61545444012311221110
760112124503402410
oct5541255324113242
9866766200745216
10200203111012002
115887773197794a
121a554854977796
1387930c2c90457
143761c4cd682b0
151822b206d4cbc
hexb6156b5096a2

200203111012002 has 128 divisors (see below), whose sum is σ = 476937489000960. Its totient is φ = 54815696732160.

The previous prime is 200203111011989. The next prime is 200203111012007. The reversal of 200203111012002 is 200210111302002.

It is not an unprimeable number, because it can be changed into a prime (200203111012007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87700602 + ... + 89954442.

It is an arithmetic number, because the mean of its divisors is an integer number (3726074132820).

Almost surely, 2200203111012002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200203111012002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238468744500480).

200203111012002 is an abundant number, since it is smaller than the sum of its proper divisors (276734377988958).

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

200203111012002 is a wasteful number, since it uses less digits than its factorization.

200203111012002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254428.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 200203111012002 its reverse (200210111302002), we get a palindrome (400413222314004).

The spelling of 200203111012002 in words is "two hundred trillion, two hundred three billion, one hundred eleven million, twelve thousand, two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 233 313 406 466 609 626 699 939 1218 1398 1631 1878 2191 3262 4382 4893 6573 6757 9077 9786 13146 13514 18154 20271 27231 40542 47299 54462 63539 72929 94598 127078 141897 145858 190617 218787 283794 381234 437574 510503 1021006 1531509 2114941 2253841 3063018 4229882 4507682 6344823 6761523 12689646 13523046 14804587 15776887 29609174 31553774 44413761 47330661 65361389 88827522 94661322 130722778 196084167 392168334 457529723 525144953 705452233 915059446 1050289906 1372589169 1410904466 1575434859 2116356699 2745178338 3150869718 3676014671 4232713398 4938165631 7352029342 9876331262 11028044013 14814496893 15229203637 20458114757 22056088026 29628993786 30458407274 40916229514 45687610911 61374344271 91375221822 106604425459 122748688542 143206803299 164370370289 213208850918 286413606598 319813276377 328740740578 429620409897 493111110867 639626552754 859240819794 986222221734 1150592592023 2301185184046 3451777776069 4766740738381 6903555552138 9533481476762 14300222215143 28600444430286 33367185168667 66734370337334 100101555506001 200203111012002