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11211103132200 = 23325221129518439
BaseRepresentation
bin1010001100100100100111…
…0100011101101000101000
31110200202211001102220211100
42203021021310131220220
52432140314400212300
635502150520201400
72234655405202206
oct243111164355050
943622731386740
1011211103132200
113632669499724
121310953909260
13634282b39c2a
142aa8980d2076
1514695e790700
hexa3249d1da28

11211103132200 has 144 divisors (see below), whose sum is σ = 37829061597600. Its totient is φ = 2975458550400.

The previous prime is 11211103132193. The next prime is 11211103132231. The reversal of 11211103132200 is 223130111211.

11211103132200 is a `hidden beast` number, since 1 + 1 + 21 + 110 + 313 + 220 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14379420 + ... + 15139019.

It is an arithmetic number, because the mean of its divisors is an integer number (262701816650).

Almost surely, 211211103132200 is an apocalyptic number.

11211103132200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211103132200 is an abundant number, since it is smaller than the sum of its proper divisors (26617958465400).

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

11211103132200 is a wasteful number, since it uses less digits than its factorization.

11211103132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29518672 (or 29518660 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11211103132200 its reverse (223130111211), we get a palindrome (11434233243411).

The spelling of 11211103132200 in words is "eleven trillion, two hundred eleven billion, one hundred three million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 211 225 300 360 422 450 600 633 844 900 1055 1266 1688 1800 1899 2110 2532 3165 3798 4220 5064 5275 6330 7596 8440 9495 10550 12660 15192 15825 18990 21100 25320 31650 37980 42200 47475 63300 75960 94950 126600 189900 379800 29518439 59036878 88555317 118073756 147592195 177110634 236147512 265665951 295184390 354221268 442776585 531331902 590368780 708442536 737960975 885553170 1062663804 1180737560 1328329755 1475921950 1771106340 2125327608 2213882925 2656659510 2951843900 3542212680 4427765850 5313319020 5903687800 6228390629 6641648775 8855531700 10626638040 12456781258 13283297550 17711063400 18685171887 24913562516 26566595100 31141953145 37370343774 49827125032 53133190200 56055515661 62283906290 74740687548 93425859435 112111031322 124567812580 149481375096 155709765725 186851718870 224222062644 249135625160 280277578305 311419531450 373703437740 448444125288 467129297175 560555156610 622839062900 747406875480 934258594350 1121110313220 1245678125800 1401387891525 1868517188700 2242220626440 2802775783050 3737034377400 5605551566100 11211103132200