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11011000132220 = 22511479369128309
BaseRepresentation
bin1010000000111011001011…
…0000000110001001111100
31102222122022112100021220212
42200032302300012021330
52420401012013212340
635230214510331552
72214342563566544
oct240166260061174
942878275307825
1011011000132220
113565814578080
12129a0097b9bb8
1361b44339692a
142a0d1447c324
1514164c272a65
hexa03b2c0627c

11011000132220 has 96 divisors (see below), whose sum is σ = 25285604198400. Its totient is φ = 3994417324800.

The previous prime is 11011000132219. The next prime is 11011000132259. The reversal of 11011000132220 is 2223100011011.

It is a junction number, because it is equal to n+sod(n) for n = 11011000132195 and 11011000132204.

It is a congruent number.

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, 388943426 + ... + 388971734.

It is an arithmetic number, because the mean of its divisors is an integer number (263391710400).

Almost surely, 211011000132220 is an apocalyptic number.

11011000132220 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 11011000132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12642802099200).

11011000132220 is an abundant number, since it is smaller than the sum of its proper divisors (14274604066180).

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

11011000132220 is a wasteful number, since it uses less digits than its factorization.

11011000132220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32499 (or 32497 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11011000132220 its reverse (2223100011011), we get a palindrome (13234100143231).

The spelling of 11011000132220 in words is "eleven trillion, eleven billion, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 479 958 1916 2395 3691 4790 5269 7382 9580 10538 14764 18455 21076 26345 28309 36910 40601 52690 56618 73820 81202 105380 113236 141545 162404 203005 283090 311399 406010 566180 622798 812020 1245596 1556995 1767989 3113990 3535978 6227980 7071956 8839945 13560011 17679890 19447879 27120022 35359780 38895758 54240044 67800055 77791516 97239395 104488519 135600110 149160121 194478790 208977038 271200220 298320242 388957580 417954076 522442595 596640484 745800605 1044885190 1149373709 1491601210 2089770380 2298747418 2983202420 4597494836 5746868545 11493737090 22987474180 50050000601 100100001202 200200002404 250250003005 500500006010 550550006611 1001000012020 1101100013222 2202200026444 2752750033055 5505500066110 11011000132220