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103133340 = 22325572963
BaseRepresentation
bin1100010010110…
…11000010011100
321012001201100100
412021123002130
5202400231330
614122301100
72361422202
oct611330234
9235051310
10103133340
1153241672
122a657790
131849ca5b
14d9a9072
1590c3060
hex625b09c

103133340 has 36 divisors (see below), whose sum is σ = 312838344. Its totient is φ = 27502176.

The previous prime is 103133333. The next prime is 103133347. The reversal of 103133340 is 43331301.

103133340 is a `hidden beast` number, since 10 + 313 + 3 + 340 = 666.

It is an interprime number because it is at equal distance from previous prime (103133333) and next prime (103133347).

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103133347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 286302 + ... + 286661.

It is an arithmetic number, because the mean of its divisors is an integer number (8689954).

Almost surely, 2103133340 is an apocalyptic number.

103133340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103133340 is an abundant number, since it is smaller than the sum of its proper divisors (209705004).

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

103133340 is a wasteful number, since it uses less digits than its factorization.

103133340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572978 (or 572973 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 103133340 is about 10155.4586307069. The cubic root of 103133340 is about 468.9570051042.

Adding to 103133340 its reverse (43331301), we get a palindrome (146464641).

The spelling of 103133340 in words is "one hundred three million, one hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 572963 1145926 1718889 2291852 2864815 3437778 5156667 5729630 6875556 8594445 10313334 11459260 17188890 20626668 25783335 34377780 51566670 103133340