Search a number
-
+
101130344 = 23789103197
BaseRepresentation
bin1100000011100…
…10000001101000
321001021221202022
412001302001220
5201342132334
614011324012
72335410440
oct601620150
9231257668
10101130344
11520a37a7
1229a50608
1317c4b153
14d607120
158d2982e
hex6072068

101130344 has 64 divisors (see below), whose sum is σ = 222393600. Its totient is φ = 42223104.

The previous prime is 101130329. The next prime is 101130353. The reversal of 101130344 is 443031101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513254 + ... + 513450.

It is an arithmetic number, because the mean of its divisors is an integer number (3474900).

Almost surely, 2101130344 is an apocalyptic number.

101130344 is a gapful number since it is divisible by the number (14) 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 101130344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111196800).

101130344 is an abundant number, since it is smaller than the sum of its proper divisors (121263256).

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

101130344 is a wasteful number, since it uses less digits than its factorization.

101130344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 101130344 is about 10056.3583866129. The cubic root of 101130344 is about 465.9011990677.

Adding to 101130344 its reverse (443031101), we get a palindrome (544161445).

The spelling of 101130344 in words is "one hundred one million, one hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 89 103 178 197 206 356 394 412 623 712 721 788 824 1246 1379 1442 1576 2492 2758 2884 4984 5516 5768 9167 11032 17533 18334 20291 35066 36668 40582 64169 70132 73336 81164 122731 128338 140264 142037 162328 245462 256676 284074 490924 513352 568148 981848 1136296 1805899 3611798 7223596 12641293 14447192 25282586 50565172 101130344