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101343000 = 23353113783
BaseRepresentation
bin1100000101001…
…01111100011000
321001200202110110
412002211330120
5201420434000
614020044320
72340254433
oct602457430
9231622413
10101343000
1152229550
1229b336a0
1317cc3b95
14d66081a
158d6c850
hex60a5f18

101343000 has 256 divisors, whose sum is σ = 358525440. Its totient is φ = 23616000.

The previous prime is 101342987. The next prime is 101343031. The reversal of 101343000 is 343101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1220959 + ... + 1221041.

It is an arithmetic number, because the mean of its divisors is an integer number (1400490).

Almost surely, 2101343000 is an apocalyptic number.

101343000 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 101343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

101343000 is an abundant number, since it is smaller than the sum of its proper divisors (257182440).

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

101343000 is a wasteful number, since it uses less digits than its factorization.

101343000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 101343000 is about 10066.9260452235. The cubic root of 101343000 is about 466.2275347536.

Adding to 101343000 its reverse (343101), we get a palindrome (101686101).

The spelling of 101343000 in words is "one hundred one million, three hundred forty-three thousand".