Search a number
-
+
1100112120 = 233253782591
BaseRepresentation
bin100000110010010…
…0110000011111000
32211200001111010100
41001210212003320
54223112041440
6301055115400
736155540652
oct10144460370
92750044110
101100112120
11514a91578
12268512b60
13146bbca23
14a616b6d2
15668a9230
hex419260f8

1100112120 has 96 divisors (see below), whose sum is σ = 3672040320. Its totient is φ = 285431040.

The previous prime is 1100112037. The next prime is 1100112121. The reversal of 1100112120 is 212110011.

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 not an unprimeable number, because it can be changed into a prime (1100112121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27976 + ... + 54615.

It is an arithmetic number, because the mean of its divisors is an integer number (38250420).

Almost surely, 21100112120 is an apocalyptic number.

1100112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100112120 is an abundant number, since it is smaller than the sum of its proper divisors (2571928200).

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

1100112120 is a wasteful number, since it uses less digits than its factorization.

1100112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82645 (or 82638 counting only the distinct ones).

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

The square root of 1100112120 is about 33167.9381330827. The cubic root of 1100112120 is about 1032.3151867638.

Adding to 1100112120 its reverse (212110011), we get a palindrome (1312222131).

The spelling of 1100112120 in words is "one billion, one hundred 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 13320 82591 165182 247773 330364 412955 495546 660728 743319 825910 991092 1238865 1486638 1651820 1982184 2477730 2973276 3055867 3303640 3716595 4955460 5946552 6111734 7433190 9167601 9910920 12223468 14866380 15279335 18335202 24446936 27502803 29732760 30558670 36670404 45838005 55005606 61117340 73340808 91676010 110011212 122234680 137514015 183352020 220022424 275028030 366704040 550056060 1100112120