Search a number
-
+
10104341310 = 2325728157077
BaseRepresentation
bin10010110100100010…
…00000001100111110
3222002012002201111100
421122101000030332
5131143202410220
64350351033530
7505252325010
oct113221001476
928065081440
1010104341310
1143157011a8
121b5bb0b8a6
13c504c0cab
146bbd641b0
153e211dd90
hex25a44033e

10104341310 has 96 divisors (see below), whose sum is σ = 30131704512. Its totient is φ = 2301304320.

The previous prime is 10104341267. The next prime is 10104341329. The reversal of 10104341310 is 1314340101.

10104341310 is a `hidden beast` number, since 1 + 0 + 10 + 4 + 341 + 310 = 666.

It is a super-2 number, since 2×101043413102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148492 + ... + 205568.

It is an arithmetic number, because the mean of its divisors is an integer number (313871922).

Almost surely, 210104341310 is an apocalyptic number.

10104341310 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 10104341310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15065852256).

10104341310 is an abundant number, since it is smaller than the sum of its proper divisors (20027363202).

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

10104341310 is a wasteful number, since it uses less digits than its factorization.

10104341310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57378 (or 57375 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10104341310 its reverse (1314340101), we get a palindrome (11418681411).

The spelling of 10104341310 in words is "ten billion, one hundred four million, three hundred forty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 281 315 562 630 843 1405 1686 1967 2529 2810 3934 4215 5058 5901 8430 9835 11802 12645 17703 19670 25290 29505 35406 57077 59010 88515 114154 171231 177030 285385 342462 399539 513693 570770 799078 856155 1027386 1198617 1712310 1997695 2397234 2568465 3595851 3995390 5136930 5993085 7191702 11986170 16038637 17979255 32077274 35958510 48115911 80193185 96231822 112270459 144347733 160386370 224540918 240579555 288695466 336811377 481159110 561352295 673622754 721738665 1010434131 1122704590 1443477330 1684056885 2020868262 3368113770 5052170655 10104341310