Search a number
-
+
112113321320 = 235711132800033
BaseRepresentation
bin110100001101001111…
…0011000010101101000
3101201101100222211020002
41220122132120111220
53314102002240240
6123300521322132
711046162336050
oct1503236302550
9351340884202
10112113321320
1143602057760
121988a636348
13a7592a02b0
1455d7b3a560
152db28e1d15
hex1a1a798568

112113321320 has 128 divisors (see below), whose sum is σ = 338692112640. Its totient is φ = 32256368640.

The previous prime is 112113321293. The next prime is 112113321367. The reversal of 112113321320 is 23123311211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 112113321292 and 112113321301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1359977 + ... + 1440056.

It is an arithmetic number, because the mean of its divisors is an integer number (2646032130).

Almost surely, 2112113321320 is an apocalyptic number.

112113321320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112113321320 is an abundant number, since it is smaller than the sum of its proper divisors (226578791320).

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

112113321320 is a wasteful number, since it uses less digits than its factorization.

112113321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800075 (or 2800071 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 112113321320 its reverse (23123311211), we get a palindrome (135236632531).

The spelling of 112113321320 in words is "one hundred twelve billion, one hundred thirteen million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 364 385 440 455 520 572 616 715 728 770 910 1001 1144 1430 1540 1820 2002 2860 3080 3640 4004 5005 5720 8008 10010 20020 40040 2800033 5600066 11200132 14000165 19600231 22400264 28000330 30800363 36400429 39200462 56000660 61600726 72800858 78400924 98001155 112001320 123201452 145601716 154001815 156801848 182002145 196002310 215602541 246402904 254803003 291203432 308003630 364004290 392004620 400404719 431205082 509606006 616007260 728008580 784009240 800809438 862410164 1019212012 1078012705 1232014520 1274015015 1456017160 1601618876 1724820328 2002023595 2038424024 2156025410 2548030030 2802833033 3203237752 4004047190 4312050820 5096060060 5605666066 8008094380 8624101640 10192120120 11211332132 14014165165 16016188760 22422664264 28028330330 56056660660 112113321320