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101144344 = 23729611021
BaseRepresentation
bin1100000011101…
…01011100011000
321001022122221211
412001311130120
5201343104334
614011512504
72335466320
oct601653430
9231278854
10101144344
1152103274
1229a58734
1317c54632
14d60c280
158d2da64
hex6075718

101144344 has 64 divisors (see below), whose sum is σ = 228110400. Its totient is φ = 41126400.

The previous prime is 101144311. The next prime is 101144357. The reversal of 101144344 is 443441101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98554 + ... + 99574.

It is an arithmetic number, because the mean of its divisors is an integer number (3564225).

Almost surely, 2101144344 is an apocalyptic number.

101144344 is a gapful number since it is divisible by the number (14) 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 101144344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114055200).

101144344 is an abundant number, since it is smaller than the sum of its proper divisors (126966056).

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

101144344 is a wasteful number, since it uses less digits than its factorization.

101144344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 101144344 is about 10057.0544395464. The cubic root of 101144344 is about 465.9226971185.

Adding to 101144344 its reverse (443441101), we get a palindrome (544585445).

The spelling of 101144344 in words is "one hundred one million, one hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 29 56 58 61 116 122 203 232 244 406 427 488 812 854 1021 1624 1708 1769 2042 3416 3538 4084 7076 7147 8168 12383 14152 14294 24766 28588 29609 49532 57176 59218 62281 99064 118436 124562 207263 236872 249124 414526 435967 498248 829052 871934 1658104 1743868 1806149 3487736 3612298 7224596 12643043 14449192 25286086 50572172 101144344