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11100000101148 = 2232743233171971
BaseRepresentation
bin1010000110000110101110…
…0100000010001100011100
31110022011001002111011022100
42201201223210002030130
52423330300011214043
635335134124445100
72223643231052610
oct241415344021434
943264032434270
1011100000101148
11359a535754002
1212b33076a9790
13626957c6a83a
142a5358621340
15143b0a913cd3
hexa186b90231c

11100000101148 has 216 divisors, whose sum is σ = 32929387161216. Its totient is φ = 3088273003200.

The previous prime is 11100000101137. The next prime is 11100000101149. The reversal of 11100000101148 is 84110100000111.

It is a happy number.

It is a super-2 number, since 2×111000001011482 (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 self number, because there is not a number n which added to its sum of digits gives 11100000101148.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100000101149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 154192803 + ... + 154264773.

Almost surely, 211100000101148 is an apocalyptic number.

11100000101148 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 11100000101148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16464693580608).

11100000101148 is an abundant number, since it is smaller than the sum of its proper divisors (21829387060068).

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

11100000101148 is a wasteful number, since it uses less digits than its factorization.

11100000101148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72405 (or 72357 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11100000101148 its reverse (84110100000111), we get a palindrome (95210100101259).

The spelling of 11100000101148 in words is "eleven trillion, one hundred billion, one hundred one thousand, one hundred forty-eight".