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101341440 = 2832519463
BaseRepresentation
bin1100000101001…
…01100100000000
321001200200022200
412002211210000
5201420411230
614020033200
72340250044
oct602454400
9231620280
10101341440
1152228362
1229b32800
1317cc3265
14d660024
158d6c160
hex60a5900

101341440 has 216 divisors, whose sum is σ = 369882240. Its totient is φ = 25546752.

The previous prime is 101341439. The next prime is 101341477. The reversal of 101341440 is 44143101.

It is a super-2 number, since 2×1013414402 = 20540174922547200, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 218649 + ... + 219111.

Almost surely, 2101341440 is an apocalyptic number.

101341440 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 101341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184941120).

101341440 is an abundant number, since it is smaller than the sum of its proper divisors (268540800).

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

101341440 is a wasteful number, since it uses less digits than its factorization.

101341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 492 counting only the distinct ones).

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

The square root of 101341440 is about 10066.8485634780. The cubic root of 101341440 is about 466.2251424862.

Adding to 101341440 its reverse (44143101), we get a palindrome (145484541).

The spelling of 101341440 in words is "one hundred one million, three hundred forty-one thousand, four hundred forty".