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11102002200120 = 23351314968369931
BaseRepresentation
bin1010000110001110001011…
…1001011011111000111000
31110022100012121210022210010
42201203202321123320320
52423343400030400440
635340104524421520
72224043651446056
oct241434271337070
943270177708703
1011102002200120
1135a03728a4657
1212b37860a78a0
13626bb699b3a0
142a54a84a51d6
15143bc658d580
hexa18e2e5be38

11102002200120 has 256 divisors, whose sum is σ = 36162116928000. Its totient is φ = 2710446520320.

The previous prime is 11102002200119. The next prime is 11102002200127. The reversal of 11102002200120 is 2100220020111.

11102002200120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11102002200096 and 11102002200105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102002200127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158721555 + ... + 158791485.

It is an arithmetic number, because the mean of its divisors is an integer number (141258269250).

Almost surely, 211102002200120 is an apocalyptic number.

11102002200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11102002200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18081058464000).

11102002200120 is an abundant number, since it is smaller than the sum of its proper divisors (25060114727880).

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

11102002200120 is a wasteful number, since it uses less digits than its factorization.

11102002200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70790 (or 70786 counting only the distinct ones).

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

Adding to 11102002200120 its reverse (2100220020111), we get a palindrome (13202222220231).

The spelling of 11102002200120 in words is "eleven trillion, one hundred two billion, two million, two hundred thousand, one hundred twenty".