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101423520 = 253251119337
BaseRepresentation
bin1100000101110…
…01100110100000
321001211211220200
412002321212200
5201431023040
614021505200
72341041252
oct602714640
9231754820
10101423520
1152283aa0
1229b72200
1318021723
14d681cd2
158d86630
hex60b99a0

101423520 has 288 divisors, whose sum is σ = 398623680. Its totient is φ = 23224320.

The previous prime is 101423473. The next prime is 101423551. The reversal of 101423520 is 25324101.

101423520 is a `hidden beast` number, since 1 + 0 + 142 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 101423493 and 101423502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300792 + ... + 301128.

It is an arithmetic number, because the mean of its divisors is an integer number (1384110).

Almost surely, 2101423520 is an apocalyptic number.

101423520 is a gapful number since it is divisible by the number (10) 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 101423520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199311840).

101423520 is an abundant number, since it is smaller than the sum of its proper divisors (297200160).

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

101423520 is a wasteful number, since it uses less digits than its factorization.

101423520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 101423520 is about 10070.9244858652. The cubic root of 101423520 is about 466.3509792379.

Adding to 101423520 its reverse (25324101), we get a palindrome (126747621).

The spelling of 101423520 in words is "one hundred one million, four hundred twenty-three thousand, five hundred twenty".