Search a number
-
+
100000112040 = 233251201231289
BaseRepresentation
bin101110100100001111…
…0001001110110101000
3100120010011212000221100
41131020132021312220
53114300012041130
6113534525241400
710140044633103
oct1351036116650
9316104760840
10100000112040
11394565022a4
1217469a03260
13957884b73a
144ba908d73a
15290425cc60
hex1748789da8

100000112040 has 96 divisors (see below), whose sum is σ = 325272378600. Its totient is φ = 26644377600.

The previous prime is 100000111987. The next prime is 100000112063. The reversal of 100000112040 is 40211000001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26343237636 + 73656874404 = 162306^2 + 271398^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316716 + ... + 548004.

Almost surely, 2100000112040 is an apocalyptic number.

100000112040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100000112040 is an abundant number, since it is smaller than the sum of its proper divisors (225272266560).

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

100000112040 is a wasteful number, since it uses less digits than its factorization.

100000112040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232507 (or 232500 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100000112040 its reverse (40211000001), we get a palindrome (140211112041).

The spelling of 100000112040 in words is "one hundred billion, one hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1201 2402 3603 4804 6005 7206 9608 10809 12010 14412 18015 21618 24020 28824 36030 43236 48040 54045 72060 86472 108090 144120 216180 231289 432360 462578 693867 925156 1156445 1387734 1850312 2081601 2312890 2775468 3469335 4163202 4625780 5550936 6938670 8326404 9251560 10408005 13877340 16652808 20816010 27754680 41632020 83264040 277778089 555556178 833334267 1111112356 1388890445 1666668534 2222224712 2500002801 2777780890 3333337068 4166671335 5000005602 5555561780 6666674136 8333342670 10000011204 11111123560 12500014005 16666685340 20000022408 25000028010 33333370680 50000056020 100000112040