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101401344 = 2832114001
BaseRepresentation
bin1100000101101…
…00001100000000
321001210201111100
412002310030000
5201424320334
614021214400
72340616512
oct602641400
9231721440
10101401344
1152269370
1229b61400
13180145c5
14d677bb2
158d7ec99
hex60b4300

101401344 has 108 divisors (see below), whose sum is σ = 319023432. Its totient is φ = 30720000.

The previous prime is 101401303. The next prime is 101401357. The reversal of 101401344 is 443104101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23344 + ... + 27344.

Almost surely, 2101401344 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 101401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159511716).

101401344 is an abundant number, since it is smaller than the sum of its proper divisors (217622088).

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

101401344 is a wasteful number, since it uses less digits than its factorization.

101401344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4034 (or 4017 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 101401344 is about 10069.8234344004. The cubic root of 101401344 is about 466.3169879337.

Adding to 101401344 its reverse (443104101), we get a palindrome (544505445).

The spelling of 101401344 in words is "one hundred one million, four hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 576 704 768 792 1056 1152 1408 1584 2112 2304 2816 3168 4001 4224 6336 8002 8448 12003 12672 16004 24006 25344 32008 36009 44011 48012 64016 72018 88022 96024 128032 132033 144036 176044 192048 256064 264066 288072 352088 384096 396099 512128 528132 576144 704176 768192 792198 1024256 1056264 1152288 1408352 1536384 1584396 2112528 2304576 2816704 3072768 3168792 4225056 4609152 5633408 6337584 8450112 9218304 11266816 12675168 16900224 25350336 33800448 50700672 101401344