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11322112100 = 2252138709317
BaseRepresentation
bin10101000101101100…
…11011100001100100
31002020001112212222012
422202312123201210
5141141430041400
65111252053352
7550400236115
oct124266334144
932201485865
1011322112100
114890045442
12223b904258
1310b5898020
1479599c20c
15463eb9d35
hex2a2d9b864

11322112100 has 36 divisors (see below), whose sum is σ = 26458908084. Its totient is φ = 4180471680.

The previous prime is 11322112093. The next prime is 11322112133. The reversal of 11322112100 is 121122311.

It can be written as a sum of positive squares in 6 ways, for example, as 454883584 + 10867228516 = 21328^2 + 104246^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4353359 + ... + 4355958.

It is an arithmetic number, because the mean of its divisors is an integer number (734969669).

Almost surely, 211322112100 is an apocalyptic number.

11322112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11322112100 is an abundant number, since it is smaller than the sum of its proper divisors (15136795984).

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

11322112100 is a wasteful number, since it uses less digits than its factorization.

11322112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8709344 (or 8709337 counting only the distinct ones).

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

Adding to 11322112100 its reverse (121122311), we get a palindrome (11443234411).

It can be divided in two parts, 1132211 and 2100, that added together give a palindrome (1134311).

The spelling of 11322112100 in words is "eleven billion, three hundred twenty-two million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 8709317 17418634 34837268 43546585 87093170 113221121 174186340 217732925 226442242 435465850 452884484 566105605 870931700 1132211210 2264422420 2830528025 5661056050 11322112100