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10101323232 = 25327111337947
BaseRepresentation
bin10010110100001010…
…11111010111100000
3222001222102101110200
421122011133113200
5131141414320412
64350202225200
7505214554650
oct113205372740
928058371420
1010101323232
114313a2a720
121b5aab5200
13c4c9a5350
146bb7ba360
153e1c249dc
hex25a15f5e0

10101323232 has 576 divisors, whose sum is σ = 39652913664. Its totient is φ = 2353950720.

The previous prime is 10101323227. The next prime is 10101323257. The reversal of 10101323232 is 23232310101.

10101323232 is a `hidden beast` number, since 10 + 101 + 323 + 232 = 666.

10101323232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 10666183 + ... + 10667129.

It is an arithmetic number, because the mean of its divisors is an integer number (68841864).

Almost surely, 210101323232 is an apocalyptic number.

10101323232 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 10101323232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19826456832).

10101323232 is an abundant number, since it is smaller than the sum of its proper divisors (29551590432).

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

10101323232 is a wasteful number, since it uses less digits than its factorization.

10101323232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10101323232 its reverse (23232310101), we get a palindrome (33333633333).

It can be divided in two parts, 10101 and 323232, that added together give a palindrome (333333).

The spelling of 10101323232 in words is "ten billion, one hundred one million, three hundred twenty-three thousand, two hundred thirty-two".