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11000202112020 = 22351131537644287
BaseRepresentation
bin1010000000010010111100…
…1000111010110000010100
31102221121102222222000212210
42200010233020322300110
52420211403220041040
635221231215313420
72213511156125232
oct240045710726024
942847388860783
1011000202112020
113561183354740
121297ab551b870
1361a41226a774
142a05ac347952
151412192ce480
hexa012f23ac14

11000202112020 has 96 divisors (see below), whose sum is σ = 34684508307456. Its totient is φ = 2580692572800.

The previous prime is 11000202111937. The next prime is 11000202112021. The reversal of 11000202112020 is 2021120200011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11000202111987 and 11000202112005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000202112021) by changing a digit.

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, 268801684 + ... + 268842603.

It is an arithmetic number, because the mean of its divisors is an integer number (361296961536).

Almost surely, 211000202112020 is an apocalyptic number.

11000202112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000202112020 is an abundant number, since it is smaller than the sum of its proper divisors (23684306195436).

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

11000202112020 is a wasteful number, since it uses less digits than its factorization.

11000202112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537644341 (or 537644339 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11000202112020 its reverse (2021120200011), we get a palindrome (13021322312031).

The spelling of 11000202112020 in words is "eleven trillion, two hundred two million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 220 310 330 341 372 465 620 660 682 930 1023 1364 1705 1860 2046 3410 4092 5115 6820 10230 20460 537644287 1075288574 1612932861 2150577148 2688221435 3225865722 5376442870 5914087157 6451731444 8064664305 10752885740 11828174314 16129328610 16666972897 17742261471 23656348628 29570435785 32258657220 33333945794 35484522942 50000918691 59140871570 66667891588 70969045884 83334864485 88711307355 100001837382 118281743140 166669728970 177422614710 183336701867 200003674764 250004593455 333339457940 354845229420 366673403734 500009186910 550010105601 733346807468 916683509335 1000018373820 1100020211202 1833367018670 2200040422404 2750050528005 3666734037340 5500101056010 11000202112020