Search a number
-
+
101112120 = 23325377591
BaseRepresentation
bin1100000011011…
…01100100111000
321001021000202100
412001231210320
5201341041440
614011103400
72335303344
oct601554470
9231230670
10101112120
115209103a
1229a41b60
1317c42a75
14d600624
158d24230
hex606d938

101112120 has 96 divisors (see below), whose sum is σ = 337540320. Its totient is φ = 26231040.

The previous prime is 101112119. The next prime is 101112133. The reversal of 101112120 is 21211101.

It is a happy number.

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

It is a congruent number.

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, 9525 + ... + 17115.

It is an arithmetic number, because the mean of its divisors is an integer number (3516045).

Almost surely, 2101112120 is an apocalyptic number.

101112120 is a gapful number since it is divisible by the number (10) 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 101112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168770160).

101112120 is an abundant number, since it is smaller than the sum of its proper divisors (236428200).

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

101112120 is a wasteful number, since it uses less digits than its factorization.

101112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7645 (or 7638 counting only the distinct ones).

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

The square root of 101112120 is about 10055.4522523853. The cubic root of 101112120 is about 465.8732117753.

Adding to 101112120 its reverse (21211101), we get a palindrome (122323221).

It can be divided in two parts, 1011 and 12120, that added together give a palindrome (13131).

The spelling of 101112120 in words is "one hundred one million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 7591 13320 15182 22773 30364 37955 45546 60728 68319 75910 91092 113865 136638 151820 182184 227730 273276 280867 303640 341595 455460 546552 561734 683190 842601 910920 1123468 1366380 1404335 1685202 2246936 2527803 2732760 2808670 3370404 4213005 5055606 5617340 6740808 8426010 10111212 11234680 12639015 16852020 20222424 25278030 33704040 50556060 101112120