Search a number
-
+
1112210120 = 235712731277
BaseRepresentation
bin100001001001010…
…1111101011001000
32212111211010110102
41002102233223020
54234211210440
6302210304532
736363426050
oct10222575310
92774733412
101112210120
115208a4a1a
12270588148
131495674c8
14a79da560
1567998b15
hex424afac8

1112210120 has 64 divisors (see below), whose sum is σ = 2882580480. Its totient is φ = 378314496.

The previous prime is 1112210119. The next prime is 1112210173. The reversal of 1112210120 is 210122111.

It is a super-2 number, since 2×11122101202 = 2474022702060828800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19922 + ... + 51198.

It is an arithmetic number, because the mean of its divisors is an integer number (45040320).

Almost surely, 21112210120 is an apocalyptic number.

1112210120 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 1112210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441290240).

1112210120 is an abundant number, since it is smaller than the sum of its proper divisors (1770370360).

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

1112210120 is a wasteful number, since it uses less digits than its factorization.

1112210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31422 (or 31418 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 1112210120 is about 33349.8143922871. The cubic root of 1112210120 is about 1036.0855437381.

Adding to 1112210120 its reverse (210122111), we get a palindrome (1322332231).

The spelling of 1112210120 in words is "one billion, one hundred twelve million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 127 140 254 280 508 635 889 1016 1270 1778 2540 3556 4445 5080 7112 8890 17780 31277 35560 62554 125108 156385 218939 250216 312770 437878 625540 875756 1094695 1251080 1751512 2189390 3972179 4378780 7944358 8757560 15888716 19860895 27805253 31777432 39721790 55610506 79443580 111221012 139026265 158887160 222442024 278052530 556105060 1112210120