Search a number
-
+
11020200210 = 23251274312237
BaseRepresentation
bin10100100001101101…
…01110100100010010
31001110000110011201100
422100312232210102
5140032132401320
65021305045230
7540043104405
oct122066564422
931400404640
1011020200210
114745685588
122176786816
13106817ac36
1476784bd3c
1544772e790
hex290dae912

11020200210 has 96 divisors (see below), whose sum is σ = 28958072832. Its totient is φ = 2907515520.

The previous prime is 11020200209. The next prime is 11020200223. The reversal of 11020200210 is 1200202011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11020200192 and 11020200201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4925212 + ... + 4927448.

It is an arithmetic number, because the mean of its divisors is an integer number (301646592).

Almost surely, 211020200210 is an apocalyptic number.

11020200210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11020200210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14479036416).

11020200210 is an abundant number, since it is smaller than the sum of its proper divisors (17937872622).

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

11020200210 is a wasteful number, since it uses less digits than its factorization.

11020200210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11020200210 its reverse (1200202011), we get a palindrome (12220402221).

The spelling of 11020200210 in words is "eleven billion, twenty million, two hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 127 254 381 431 635 762 862 1143 1270 1293 1905 2155 2237 2286 2586 3810 3879 4310 4474 5715 6465 6711 7758 11185 11430 12930 13422 19395 20133 22370 33555 38790 40266 54737 67110 100665 109474 164211 201330 273685 284099 328422 492633 547370 568198 821055 852297 964147 985266 1420495 1642110 1704594 1928294 2463165 2556891 2840990 2892441 4261485 4820735 4926330 5113782 5784882 8522970 8677323 9641470 12784455 14462205 17354646 25568910 28924410 43386615 86773230 122446669 244893338 367340007 612233345 734680014 1102020021 1224466690 1836700035 2204040042 3673400070 5510100105 11020200210