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101336730 = 235112910589
BaseRepresentation
bin1100000101001…
…00011010011010
321001200102212020
412002210122122
5201420233410
614015555310
72340230235
oct602443232
9231612766
10101336730
1152224870
1229b2bb36
1317cc1081
14d65c41c
158d6aa70
hex60a469a

101336730 has 64 divisors (see below), whose sum is σ = 274492800. Its totient is φ = 23717120.

The previous prime is 101336723. The next prime is 101336731. The reversal of 101336730 is 37633101.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101336730.

It is not an unprimeable number, because it can be changed into a prime (101336731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4276 + ... + 14864.

It is an arithmetic number, because the mean of its divisors is an integer number (4288950).

Almost surely, 2101336730 is an apocalyptic number.

101336730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101336730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137246400).

101336730 is an abundant number, since it is smaller than the sum of its proper divisors (173156070).

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

101336730 is a wasteful number, since it uses less digits than its factorization.

101336730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10639.

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 101336730 is about 10066.6146245895. The cubic root of 101336730 is about 466.2179195296.

Adding to 101336730 its reverse (37633101), we get a palindrome (138969831).

The spelling of 101336730 in words is "one hundred one million, three hundred thirty-six thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 290 319 330 435 638 870 957 1595 1914 3190 4785 9570 10589 21178 31767 52945 63534 105890 116479 158835 232958 307081 317670 349437 582395 614162 698874 921243 1164790 1535405 1747185 1842486 3070810 3377891 3494370 4606215 6755782 9212430 10133673 16889455 20267346 33778910 50668365 101336730