Search a number
-
+
1123012013200 = 245271136461429
BaseRepresentation
bin10000010101111000101…
…110110110110010010000
310222100200122020011022221
4100111320232312302100
5121344412033410300
62215523220510424
7144064166420020
oct20257056666220
93870618204287
101123012013200
113a32a3006120
1216179254b414
1381b904b242c
143c4d5801a80
151e32ad8531a
hex10578bb6c90

1123012013200 has 120 divisors (see below), whose sum is σ = 3363785686080. Its totient is φ = 350029708800.

The previous prime is 1123012013153. The next prime is 1123012013219. The reversal of 1123012013200 is 23102103211.

It is a super-2 number, since 2×11230120132002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18199915 + ... + 18261514.

It is an arithmetic number, because the mean of its divisors is an integer number (28031547384).

Almost surely, 21123012013200 is an apocalyptic number.

1123012013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1123012013200 is an abundant number, since it is smaller than the sum of its proper divisors (2240773672880).

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

1123012013200 is a wasteful number, since it uses less digits than its factorization.

1123012013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36461465 (or 36461454 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1123012013200 its reverse (23102103211), we get a palindrome (1146114116411).

The spelling of 1123012013200 in words is "one trillion, one hundred twenty-three billion, twelve million, thirteen thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 50 55 56 70 77 80 88 100 110 112 140 154 175 176 200 220 275 280 308 350 385 400 440 550 560 616 700 770 880 1100 1232 1400 1540 1925 2200 2800 3080 3850 4400 6160 7700 15400 30800 36461429 72922858 145845716 182307145 255230003 291691432 364614290 401075719 510460006 583382864 729228580 802151438 911535725 1020920012 1276150015 1458457160 1604302876 1823071450 2005378595 2041840024 2552300030 2807530033 2916914320 3208605752 3646142900 4010757190 4083680048 5104600060 5615060066 6380750075 6417211504 7292285800 8021514380 10026892975 10209200120 11230120132 12761500150 14037650165 14584571600 16043028760 20053785950 20418400240 22460240264 25523000300 28075300330 32086057520 40107571900 44920480528 51046000600 56150600660 70188250825 80215143800 102092001200 112301201320 140376501650 160430287600 224602402640 280753003300 561506006600 1123012013200