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101140260 = 2235131271021
BaseRepresentation
bin1100000011101…
…00011100100100
321001022110100120
412001310130210
5201342442020
614011441540
72335451364
oct601643444
9231273316
10101140260
11521001a1
1229a562b0
1317c52810
14d60a9a4
158d2c740
hex6074724

101140260 has 96 divisors (see below), whose sum is σ = 307679232. Its totient is φ = 24675840.

The previous prime is 101140243. The next prime is 101140261. The reversal of 101140260 is 62041101.

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

It is not an unprimeable number, because it can be changed into a prime (101140261) 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, 98550 + ... + 99570.

It is an arithmetic number, because the mean of its divisors is an integer number (3204992).

Almost surely, 2101140260 is an apocalyptic number.

101140260 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 101140260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153839616).

101140260 is an abundant number, since it is smaller than the sum of its proper divisors (206538972).

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

101140260 is a wasteful number, since it uses less digits than its factorization.

101140260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 101140260 is about 10056.8513959390. The cubic root of 101140260 is about 465.9164260349.

Adding to 101140260 its reverse (62041101), we get a palindrome (163181361).

The spelling of 101140260 in words is "one hundred one million, one hundred forty thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 127 130 156 195 254 260 381 390 508 635 762 780 1021 1270 1524 1651 1905 2042 2540 3063 3302 3810 4084 4953 5105 6126 6604 7620 8255 9906 10210 12252 13273 15315 16510 19812 20420 24765 26546 30630 33020 39819 49530 53092 61260 66365 79638 99060 129667 132730 159276 199095 259334 265460 389001 398190 518668 648335 778002 796380 1296670 1556004 1685671 1945005 2593340 3371342 3890010 5057013 6742684 7780020 8428355 10114026 16856710 20228052 25285065 33713420 50570130 101140260