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22414203020100 = 22352312410129357
BaseRepresentation
bin1010001100010101101101…
…00110111110001101000100
32221100202222100100220102010
411012022312212332031010
510414213241433120400
6115400535343214220
74502241563062563
oct506126646761504
987322870326363
1022414203020100
1171618a02a4461
1226200332a7370
13c6785b869138
14576bd3313bda
1528d0a15e4450
hex1462b69be344

22414203020100 has 72 divisors (see below), whose sum is σ = 66943753047808. Its totient is φ = 5784310454400.

The previous prime is 22414203020023. The next prime is 22414203020123. The reversal of 22414203020100 is 102030241422.

22414203020100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×224142030201002 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1205055379 + ... + 1205073978.

Almost surely, 222414203020100 is an apocalyptic number.

22414203020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22414203020100 is an abundant number, since it is smaller than the sum of its proper divisors (44529550027708).

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

22414203020100 is a wasteful number, since it uses less digits than its factorization.

22414203020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410129405 (or 2410129398 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 22414203020100 its reverse (102030241422), we get a palindrome (22516233261522).

The spelling of 22414203020100 in words is "twenty-two trillion, four hundred fourteen billion, two hundred three million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 9300 2410129357 4820258714 7230388071 9640517428 12050646785 14460776142 24101293570 28921552284 36151940355 48202587140 60253233925 72303880710 74714010067 120506467850 144607761420 149428020134 180759701775 224142030201 241012935700 298856040268 361519403550 373570050335 448284060402 723038807100 747140100670 896568120804 1120710151005 1494280201340 1867850251675 2241420302010 3735700503350 4482840604020 5603550755025 7471401006700 11207101510050 22414203020100