Search a number
-
+
110105051010 = 23573239210361
BaseRepresentation
bin110011010001011000…
…1011011111110000010
3101112012102002010021020
41212202301123332002
53300443343113020
6122325341210310
710645335330423
oct1464261337602
9345172063236
10110105051010
1142771481529
1219409b60996
13a4c91bb776
14548712b64a
152ce6448c40
hex19a2c5bf82

110105051010 has 64 divisors (see below), whose sum is σ = 268994096640. Its totient is φ = 28837831680.

The previous prime is 110105050999. The next prime is 110105051027. The reversal of 110105051010 is 10150501011.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418230 + ... + 628590.

It is an arithmetic number, because the mean of its divisors is an integer number (4203032760).

Almost surely, 2110105051010 is an apocalyptic number.

110105051010 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 110105051010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134497048320).

110105051010 is an abundant number, since it is smaller than the sum of its proper divisors (158889045630).

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

110105051010 is a wasteful number, since it uses less digits than its factorization.

110105051010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210683.

The product of its (nonzero) digits is 25, while the sum is 15.

Adding to 110105051010 its reverse (10150501011), we get a palindrome (120255552021).

The spelling of 110105051010 in words is "one hundred ten billion, one hundred five million, fifty-one thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 73 146 219 239 365 438 478 717 730 1095 1195 1434 2190 2390 3585 7170 17447 34894 52341 87235 104682 174470 210361 261705 420722 523410 631083 1051805 1262166 2103610 3155415 6310830 15356353 30712706 46069059 50276279 76781765 92138118 100552558 150828837 153563530 230345295 251381395 301657674 460690590 502762790 754144185 1508288370 3670168367 7340336734 11010505101 18350841835 22021010202 36701683670 55052525505 110105051010