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11120121202100 = 22521721519712433
BaseRepresentation
bin1010000111010001101011…
…0111111100010110110100
31110101001222100212222211112
42201310122313330112310
52424143002011431400
635352302501454152
72225254653434531
oct241643267742664
943331870788745
1011120121202100
1135a8020576a59
1212b71a2111358
13628813766531
142a6306a2bd88
151443d7101835
hexa1d1adfc5b4

11120121202100 has 72 divisors (see below), whose sum is σ = 24151272558168. Its totient is φ = 4444251033600.

The previous prime is 11120121202049. The next prime is 11120121202109. The reversal of 11120121202100 is 120212102111.

It can be written as a sum of positive squares in 12 ways, for example, as 3958492243216 + 7161628958884 = 1989596^2 + 2676122^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120121202109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 894397484 + ... + 894409916.

Almost surely, 211120121202100 is an apocalyptic number.

11120121202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11120121202100 is an abundant number, since it is smaller than the sum of its proper divisors (13031151356068).

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

11120121202100 is a wasteful number, since it uses less digits than its factorization.

11120121202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19365 (or 19358 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11120121202100 its reverse (120212102111), we get a palindrome (11240333304211).

The spelling of 11120121202100 in words is "eleven trillion, one hundred twenty billion, one hundred twenty-one million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1721 3442 5197 6884 8605 10394 12433 17210 20788 24866 25985 34420 43025 49732 51970 62165 86050 103940 124330 129925 172100 248660 259850 310825 519700 621650 1243300 8944037 17888074 21397193 35776148 42794386 44720185 64614301 85588772 89440370 106985965 129228602 178880740 213971930 223600925 258457204 323071505 427943860 447201850 534929825 646143010 894403700 1069859650 1292286020 1615357525 2139719300 3230715050 6461430100 111201212021 222402424042 444804848084 556006060105 1112012120210 2224024240420 2780030300525 5560060601050 11120121202100