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101340330 = 23572135303
BaseRepresentation
bin1100000101001…
…01010010101010
321001200121210120
412002211102222
5201420342310
614020024110
72340243600
oct602452252
9231617716
10101340330
1152227543
1229b32036
1317cc28c0
14d65d870
158d6bb70
hex60a54aa

101340330 has 96 divisors (see below), whose sum is σ = 304746624. Its totient is φ = 21377664.

The previous prime is 101340329. The next prime is 101340341. The reversal of 101340330 is 33043101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 16459 + ... + 21761.

It is an arithmetic number, because the mean of its divisors is an integer number (3174444).

Almost surely, 2101340330 is an apocalyptic number.

101340330 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 101340330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152373312).

101340330 is an abundant number, since it is smaller than the sum of its proper divisors (203406294).

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

101340330 is a wasteful number, since it uses less digits than its factorization.

101340330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5340 (or 5333 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 101340330 is about 10066.7934318729. The cubic root of 101340330 is about 466.2234402809.

Adding to 101340330 its reverse (33043101), we get a palindrome (134383431).

The spelling of 101340330 in words is "one hundred one million, three hundred forty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 49 65 70 78 91 98 105 130 147 182 195 210 245 273 294 390 455 490 546 637 735 910 1274 1365 1470 1911 2730 3185 3822 5303 6370 9555 10606 15909 19110 26515 31818 37121 53030 68939 74242 79545 111363 137878 159090 185605 206817 222726 259847 344695 371210 413634 482573 519694 556815 689390 779541 965146 1034085 1113630 1299235 1447719 1559082 2068170 2412865 2598470 2895438 3378011 3897705 4825730 6756022 7238595 7795410 10134033 14477190 16890055 20268066 33780110 50670165 101340330