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101422304 = 25191071559
BaseRepresentation
bin1100000101110…
…01010011100000
321001211210020122
412002321103200
5201431003204
614021455412
72341034564
oct602712340
9231753218
10101422304
1152283095
1229b71568
1318020cc9
14d6816a4
158d860be
hex60b94e0

101422304 has 48 divisors (see below), whose sum is σ = 212284800. Its totient is φ = 47562624.

The previous prime is 101422303. The next prime is 101422313. The reversal of 101422304 is 403224101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101422301) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 64277 + ... + 65835.

It is an arithmetic number, because the mean of its divisors is an integer number (4422600).

Almost surely, 2101422304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101422304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106142400).

101422304 is an abundant number, since it is smaller than the sum of its proper divisors (110862496).

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

101422304 is a wasteful number, since it uses less digits than its factorization.

101422304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 101422304 is about 10070.8641138683. The cubic root of 101422304 is about 466.3491154852.

Adding to 101422304 its reverse (403224101), we get a palindrome (504646405).

The spelling of 101422304 in words is "one hundred one million, four hundred twenty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 19 32 38 76 107 152 214 304 428 608 856 1559 1712 2033 3118 3424 4066 6236 8132 12472 16264 24944 29621 32528 49888 59242 65056 118484 166813 236968 333626 473936 667252 947872 1334504 2669008 3169447 5338016 6338894 12677788 25355576 50711152 101422304