Search a number
-
+
101313240 = 23357294159
BaseRepresentation
bin1100000100111…
…10101011011000
321001122020122020
412002132223120
5201414010430
614015254440
72340101610
oct602365330
9231566566
10101313240
1152209156
1229b1a420
1317cb3482
14d653a40
158d63b10
hex609ead8

101313240 has 128 divisors (see below), whose sum is σ = 359424000. Its totient is φ = 22353408.

The previous prime is 101313193. The next prime is 101313241. The reversal of 101313240 is 42313101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101313241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22281 + ... + 26439.

It is an arithmetic number, because the mean of its divisors is an integer number (2808000).

Almost surely, 2101313240 is an apocalyptic number.

101313240 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 101313240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179712000).

101313240 is an abundant number, since it is smaller than the sum of its proper divisors (258110760).

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

101313240 is a wasteful number, since it uses less digits than its factorization.

101313240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4209 (or 4205 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 101313240 is about 10065.4478290834. The cubic root of 101313240 is about 466.1818934174.

Adding to 101313240 its reverse (42313101), we get a palindrome (143626341).

The spelling of 101313240 in words is "one hundred one million, three hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 29 30 35 40 42 56 58 60 70 84 87 105 116 120 140 145 168 174 203 210 232 280 290 348 406 420 435 580 609 696 812 840 870 1015 1160 1218 1624 1740 2030 2436 3045 3480 4060 4159 4872 6090 8120 8318 12180 12477 16636 20795 24360 24954 29113 33272 41590 49908 58226 62385 83180 87339 99816 116452 120611 124770 145565 166360 174678 232904 241222 249540 291130 349356 361833 436695 482444 499080 582260 603055 698712 723666 844277 873390 964888 1164520 1206110 1447332 1688554 1746780 1809165 2412220 2532831 2894664 3377108 3493560 3618330 4221385 4824440 5065662 6754216 7236660 8442770 10131324 12664155 14473320 16885540 20262648 25328310 33771080 50656620 101313240