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11100200221200 = 2435259891761601
BaseRepresentation
bin1010000110000111011101…
…1111011011101000010000
31110022011120001001022102010
42201201313133123220100
52423331202224034300
635335210034022520
72223651211050156
oct241416737335020
943264501038363
1011100200221200
11359a628709182
1212b3362717a40
1362698a56767c
142a53770353d6
15143b1d293a50
hexa18777dba10

11100200221200 has 240 divisors, whose sum is σ = 36566629675200. Its totient is φ = 2877186048000.

The previous prime is 11100200221157. The next prime is 11100200221241. The reversal of 11100200221200 is 212200200111.

11100200221200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-4 number, since 4×111002002212004 (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 5420400 + ... + 7182000.

It is an arithmetic number, because the mean of its divisors is an integer number (152360956980).

Almost surely, 211100200221200 is an apocalyptic number.

11100200221200 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 11100200221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18283314837600).

11100200221200 is an abundant number, since it is smaller than the sum of its proper divisors (25466429454000).

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

11100200221200 is a wasteful number, since it uses less digits than its factorization.

11100200221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761770 (or 1761759 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11100200221200 its reverse (212200200111), we get a palindrome (11312400421311).

The spelling of 11100200221200 in words is "eleven trillion, one hundred billion, two hundred million, two hundred twenty-one thousand, two hundred".