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11110201202100 = 2235271113101366307
BaseRepresentation
bin1010000110101100101110…
…0110001001010110110100
31110100010101000122210002010
42201223023212021112310
52424012143001431400
635343542253444220
72224454100015660
oct241531346112664
943303330583063
1011110201202100
1135a389aa33150
1212b5293aa0670
136278c2509450
142a5a453718a0
15144006297450
hexa1acb9895b4

11110201202100 has 576 divisors, whose sum is σ = 43587862198272. Its totient is φ = 2109922560000.

The previous prime is 11110201202099. The next prime is 11110201202101. The reversal of 11110201202100 is 120210201111.

It is an interprime number because it is at equal distance from previous prime (11110201202099) and next prime (11110201202101).

It is a super-2 number, since 2×111102012021002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11110201202101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30147147 + ... + 30513453.

It is an arithmetic number, because the mean of its divisors is an integer number (75673371872).

Almost surely, 211110201202100 is an apocalyptic number.

11110201202100 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 11110201202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21793931099136).

11110201202100 is an abundant number, since it is smaller than the sum of its proper divisors (32477660996172).

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

11110201202100 is a wasteful number, since it uses less digits than its factorization.

11110201202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366456 (or 366449 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11110201202100 its reverse (120210201111), we get a palindrome (11230411403211).

The spelling of 11110201202100 in words is "eleven trillion, one hundred ten billion, two hundred one million, two hundred two thousand, one hundred".