Search a number
-
+
112221001020100 = 225271258912734587
BaseRepresentation
bin11001100001000001111100…
…111001101111001011000100
3112201100020000111210200020211
4121201001330321233023010
5104202112102230120400
61034401341031405204
732431462006635520
oct3141017471571304
9481306014720224
10112221001020100
1132836728531435
1210705222223804
134a80519a35bbb
141d9d74daccd80
15ce91d4713dba
hex66107ce6f2c4

112221001020100 has 72 divisors (see below), whose sum is σ = 278330211629120. Its totient is φ = 38472712456320.

The previous prime is 112221001020043. The next prime is 112221001020103. The reversal of 112221001020100 is 1020100122211.

It is a super-3 number, since 3×1122210010201003 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (112221001020103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2445007 + ... + 15179593.

Almost surely, 2112221001020100 is an apocalyptic number.

112221001020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112221001020100 is an abundant number, since it is smaller than the sum of its proper divisors (166109210609020).

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

112221001020100 is a wasteful number, since it uses less digits than its factorization.

112221001020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12747197 (or 12747190 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 112221001020100 its reverse (1020100122211), we get a palindrome (113241101142311).

The spelling of 112221001020100 in words is "one hundred twelve trillion, two hundred twenty-one billion, one million, twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 12589 25178 50356 62945 88123 125890 176246 251780 314725 352492 440615 629450 881230 1258900 1762460 2203075 4406150 8812300 12734587 25469174 50938348 63672935 89142109 127345870 178284218 254691740 318364675 356568436 445710545 636729350 891421090 1273458700 1782842180 2228552725 4457105450 8914210900 160315715743 320631431486 641262862972 801578578715 1122210010201 1603157157430 2244420020402 3206314314860 4007892893575 4488840040804 5611050051005 8015785787150 11222100102010 16031571574300 22444200204020 28055250255025 56110500510050 112221001020100