Search a number
-
+
100110210120 = 2334530898213
BaseRepresentation
bin101110100111100001…
…0001001010001001000
3100120101212000121010000
41131033002021101020
53120011203210440
6113553501123000
710142552513544
oct1351702112110
9316355017100
10100110210120
1139502670648
121749a859460
1395955b962b
144bb994ca24
15290dc59730
hex174f089448

100110210120 has 80 divisors (see below), whose sum is σ = 336481550460. Its totient is φ = 26696055168.

The previous prime is 100110210091. The next prime is 100110210139. The reversal of 100110210120 is 21012011001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 98421493284 + 1688716836 = 313722^2 + 41094^2 .

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 19 ways as a sum of consecutive naturals, for example, 15445867 + ... + 15452346.

Almost surely, 2100110210120 is an apocalyptic number.

100110210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110210120 is an abundant number, since it is smaller than the sum of its proper divisors (236371340340).

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

100110210120 is a wasteful number, since it uses less digits than its factorization.

100110210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30898236 (or 30898223 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100110210120 its reverse (21012011001), we get a palindrome (121122221121).

The spelling of 100110210120 in words is "one hundred billion, one hundred ten million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 30898213 61796426 92694639 123592852 154491065 185389278 247185704 278083917 308982130 370778556 463473195 556167834 617964260 741557112 834251751 926946390 1112335668 1235928520 1390419585 1668503502 1853892780 2224671336 2502755253 2780839170 3337007004 3707785560 4171258755 5005510506 5561678340 6674014008 8342517510 10011021012 11123356680 12513776265 16685035020 20022042024 25027552530 33370070040 50055105060 100110210120