Search a number
-
+
11020120200200 = 235261979312253
BaseRepresentation
bin1010000001011101001001…
…0110011001010000001000
31110000111212010100202020102
42200113102112121100020
52421023201232401300
635234323501144532
72215114565104166
oct240272226312010
943014763322212
1011020120200200
113569674617141
12129b933b5b148
1361c267995a67
142a153b7ca236
151419d2c6a0d5
hexa05d2599408

11020120200200 has 96 divisors (see below), whose sum is σ = 26310283716360. Its totient is φ = 4291085721600.

The previous prime is 11020120200163. The next prime is 11020120200233. The reversal of 11020120200200 is 200202102011.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1065325365316 + 9954794834884 = 1032146^2 + 3155122^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3472727 + ... + 5839526.

Almost surely, 211020120200200 is an apocalyptic number.

11020120200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11020120200200 is an abundant number, since it is smaller than the sum of its proper divisors (15290163516160).

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

11020120200200 is a wasteful number, since it uses less digits than its factorization.

11020120200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9312427 (or 9312418 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 11020120200200 its reverse (200202102011), we get a palindrome (11220322302211).

The spelling of 11020120200200 in words is "eleven trillion, twenty billion, one hundred twenty million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 97 100 122 194 200 244 305 388 485 488 610 776 970 1220 1525 1940 2425 2440 3050 3880 4850 5917 6100 9700 11834 12200 19400 23668 29585 47336 59170 118340 147925 236680 295850 591700 1183400 9312253 18624506 37249012 46561265 74498024 93122530 186245060 232806325 372490120 465612650 568047433 903288541 931225300 1136094866 1806577082 1862450600 2272189732 2840237165 3613154164 4516442705 4544379464 5680474330 7226308328 9032885410 11360948660 14201185825 18065770820 22582213525 22721897320 28402371650 36131541640 45164427050 55100601001 56804743300 90328854100 110201202002 113609486600 180657708200 220402404004 275503005005 440804808008 551006010010 1102012020020 1377515025025 2204024040040 2755030050050 5510060100100 11020120200200