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101323045152 = 25397467
BaseRepresentation
bin101111001011101010…
…0101111100100100000
3100200112101012000000000
41132113110233210200
53130002144421102
6114314104300000
710214610450000
oct1362724574440
9320471160000
10101323045152
1139a7524354a
1217778a71600
139729955bb4
144c92a60000
15298047d01c
hex179752f920

101323045152 has 600 divisors, whose sum is σ = 354272765616. Its totient is φ = 28517360256.

The previous prime is 101323045111. The next prime is 101323045163. The reversal of 101323045152 is 251540323101.

101323045152 is a `hidden beast` number, since 1 + 0 + 132 + 30 + 451 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 1512284223 + ... + 1512284289.

Almost surely, 2101323045152 is an apocalyptic number.

101323045152 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 101323045152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177136382808).

101323045152 is an abundant number, since it is smaller than the sum of its proper divisors (252949720464).

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

101323045152 is an frugal number, since it uses more digits than its factorization.

101323045152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 101323045152 its reverse (251540323101), we get a palindrome (352863368253).

The spelling of 101323045152 in words is "one hundred one billion, three hundred twenty-three million, forty-five thousand, one hundred fifty-two".