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11202100222120 = 23512713916397327
BaseRepresentation
bin1010001100000011000100…
…1101000101100010101000
31110122220120121212200221021
42203000301031011202220
52432013400124101440
635454101312422224
72234216325551023
oct243006115054250
943586517780837
1011202100222120
1136298695a0075
12130b060847974
136334798ab1c2
142aa2825601ba
151465d41db84a
hexa30313458a8

11202100222120 has 128 divisors (see below), whose sum is σ = 25743178137600. Its totient is φ = 4386453232896.

The previous prime is 11202100222091. The next prime is 11202100222129. The reversal of 11202100222120 is 2122200120211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11202100222094 and 11202100222103.

It is not an unprimeable number, because it can be changed into a prime (11202100222129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115048897 + ... + 115146223.

It is an arithmetic number, because the mean of its divisors is an integer number (201118579200).

Almost surely, 211202100222120 is an apocalyptic number.

11202100222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11202100222120 is an abundant number, since it is smaller than the sum of its proper divisors (14541077915480).

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

11202100222120 is a wasteful number, since it uses less digits than its factorization.

11202100222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97767 (or 97763 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11202100222120 its reverse (2122200120211), we get a palindrome (13324300342331).

The spelling of 11202100222120 in words is "eleven trillion, two hundred two billion, one hundred million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 127 139 163 254 278 326 508 556 635 652 695 815 1016 1112 1270 1304 1390 1630 2540 2780 3260 5080 5560 6520 17653 20701 22657 35306 41402 45314 70612 82804 88265 90628 97327 103505 113285 141224 165608 176530 181256 194654 207010 226570 353060 389308 414020 453140 486635 706120 778616 828040 906280 973270 1946540 2877439 3893080 5754878 11509756 12360529 13528453 14387195 15864301 23019512 24721058 27056906 28774390 31728602 49442116 54113812 57548780 61802645 63457204 67642265 79321505 98884232 108227624 115097560 123605290 126914408 135284530 158643010 247210580 270569060 317286020 494421160 541138120 634572040 1718113531 2014766227 2205137839 3436227062 4029532454 4410275678 6872454124 8059064908 8590567655 8820551356 10073831135 11025689195 13744908248 16118129816 17181135310 17641102712 20147662270 22051378390 34362270620 40295324540 44102756780 68724541240 80590649080 88205513560 280052505553 560105011106 1120210022212 1400262527765 2240420044424 2800525055530 5601050111060 11202100222120