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11100011005008 = 24331710336174057
BaseRepresentation
bin1010000110000110110000…
…1101101000010001010000
31110022011001212000010121000
42201201230031220101100
52423330310304130013
635335135154302000
72223643422535362
oct241415415502120
943264055003530
1011100011005008
11359a540921262
1212b330b287900
1362695a2b7923
142a5359c5cd32
15143b0b869973
hexa186c368450

11100011005008 has 320 divisors, whose sum is σ = 34080670840320. Its totient is φ = 3446743891968.

The previous prime is 11100011005007. The next prime is 11100011005009. The reversal of 11100011005008 is 80050011000111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11100011005007) and next prime (11100011005009).

It is a super-2 number, since 2×111000110050082 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100011005001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2736012516 + ... + 2736016572.

It is an arithmetic number, because the mean of its divisors is an integer number (106502096376).

Almost surely, 211100011005008 is an apocalyptic number.

11100011005008 is a gapful number since it is divisible by the number (18) 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 11100011005008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17040335420160).

11100011005008 is an abundant number, since it is smaller than the sum of its proper divisors (22980659835312).

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

11100011005008 is a wasteful number, since it uses less digits than its factorization.

11100011005008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7811 (or 7799 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 18.

Adding to 11100011005008 its reverse (80050011000111), we get a palindrome (91150022005119).

The spelling of 11100011005008 in words is "eleven trillion, one hundred billion, eleven million, five thousand, eight".