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10101131111232 = 2632731526115361
BaseRepresentation
bin1001001011111101101001…
…0101001110101101000000
31022202122210012020222222200
42102333122111032231000
52310444104031024412
633252221235433200
72061532305533220
oct222773225165500
938678705228880
1010101131111232
1132449581a3797
121171800455800
135836c00bc645
1426cc7c4aa080
15127b4860b9dc
hex92fda54eb40

10101131111232 has 336 divisors, whose sum is σ = 34165331825664. Its totient is φ = 2792226816000.

The previous prime is 10101131111177. The next prime is 10101131111233. The reversal of 10101131111232 is 23211113110101.

10101131111232 is a `hidden beast` number, since 10 + 101 + 1 + 311 + 11 + 232 = 666.

10101131111232 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 (336).

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 (10101131111233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 657575232 + ... + 657590592.

Almost surely, 210101131111232 is an apocalyptic number.

10101131111232 is a gapful number since it is divisible by the number (12) 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 10101131111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17082665912832).

10101131111232 is an abundant number, since it is smaller than the sum of its proper divisors (24064200714432).

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

10101131111232 is a wasteful number, since it uses less digits than its factorization.

10101131111232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20678 (or 20665 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 10101131111232 its reverse (23211113110101), we get a palindrome (33312244221333).

The spelling of 10101131111232 in words is "ten trillion, one hundred one billion, one hundred thirty-one million, one hundred eleven thousand, two hundred thirty-two".