Search a number
-
+
111002013121020 = 223571609116424741
BaseRepresentation
bin11001001111010010101011…
…100011111011100111111100
3112120000200121011000100110220
4121033102223203323213330
5104022124110324333040
61032025342034301340
732244426235516230
oct3117225343734774
9476020534010426
10111002013121020
113240676465476a
1210548b25727850
1349c25a2659668
141d5a75189a5c0
15cc763ca7e2d0
hex64f4ab8fb9fc

111002013121020 has 96 divisors (see below), whose sum is σ = 355228538466816. Its totient is φ = 25370310393600.

The previous prime is 111002013121007. The next prime is 111002013121033. The reversal of 111002013121020 is 20121310200111.

It is an interprime number because it is at equal distance from previous prime (111002013121007) and next prime (111002013121033).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1454151 + ... + 14970590.

It is an arithmetic number, because the mean of its divisors is an integer number (3700297275696).

Almost surely, 2111002013121020 is an apocalyptic number.

111002013121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111002013121020 is an abundant number, since it is smaller than the sum of its proper divisors (244226525345796).

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

111002013121020 is a wasteful number, since it uses less digits than its factorization.

111002013121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16440851 (or 16440849 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 111002013121020 its reverse (20121310200111), we get a palindrome (131123323321131).

The spelling of 111002013121020 in words is "one hundred eleven trillion, two billion, thirteen million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 16091 32182 48273 64364 80455 96546 112637 160910 193092 225274 241365 321820 337911 450548 482730 563185 675822 965460 1126370 1351644 1689555 2252740 3379110 6758220 16424741 32849482 49274223 65698964 82123705 98548446 114973187 164247410 197096892 229946374 246371115 328494820 344919561 459892748 492742230 574865935 689839122 985484460 1149731870 1379678244 1724597805 2299463740 3449195610 6898391220 264290507431 528581014862 792871522293 1057162029724 1321452537155 1585743044586 1850033552017 2642905074310 3171486089172 3700067104034 3964357611465 5285810148620 5550100656051 7400134208068 7928715222930 9250167760085 11100201312102 15857430445860 18500335520170 22200402624204 27750503280255 37000671040340 55501006560510 111002013121020