Search a number
-
+
112210202101120 = 275422814146743
BaseRepresentation
bin11001100000110111111001…
…001111001000010110000000
3112201022012010220201202022121
4121200313321033020112000
5104201422443214213440
61034352353305214024
732430630261431644
oct3140677117102600
9481265126652277
10112210202101120
1132832096854802
1210703109791314
134a7c4b8683906
141d9d007802c24
15ce8ca164434a
hex660df93c8580

112210202101120 has 64 divisors (see below), whose sum is σ = 268258923606240. Its totient is φ = 44883008450560.

The previous prime is 112210202101061. The next prime is 112210202101187. The reversal of 112210202101120 is 21101202012211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1122102021011202 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 112210202101094 and 112210202101103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24986469 + ... + 29133211.

Almost surely, 2112210202101120 is an apocalyptic number.

112210202101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112210202101120 is an abundant number, since it is smaller than the sum of its proper divisors (156048721505120).

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

112210202101120 is an equidigital number, since it uses as much as digits as its factorization.

112210202101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4189043 (or 4189031 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112210202101120 its reverse (21101202012211), we get a palindrome (133311404113331).

The spelling of 112210202101120 in words is "one hundred twelve trillion, two hundred ten billion, two hundred two million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 42281 84562 169124 211405 338248 422810 676496 845620 1352992 1691240 2705984 3382480 4146743 5411968 6764960 8293486 13529920 16586972 20733715 27059840 33173944 41467430 66347888 82934860 132695776 165869720 265391552 331739440 530783104 663478880 1326957760 2653915520 175328440783 350656881566 701313763132 876642203915 1402627526264 1753284407830 2805255052528 3506568815660 5610510105056 7013137631320 11221020210112 14026275262640 22442040420224 28052550525280 56105101050560 112210202101120