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11210211202120 = 235717471011812741
BaseRepresentation
bin1010001100100001010010…
…1010000001010001001000
31110200200111220010011202221
42203020110222001101020
52432132003031431440
635501522215103424
72234624325004030
oct243102452012110
943620456104687
1011210211202120
113632250a79427
121310745071b74
1363417010a758
142aa8118768c0
1514690b309d4a
hexa3214a81448

11210211202120 has 512 divisors, whose sum is σ = 31665419735040. Its totient is φ = 3484753920000.

The previous prime is 11210211202117. The next prime is 11210211202129. The reversal of 11210211202120 is 2120211201211.

It is a super-2 number, since 2×112102112021202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11210211202094 and 11210211202103.

It is not an unprimeable number, because it can be changed into a prime (11210211202129) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4089823950 + ... + 4089826690.

It is an arithmetic number, because the mean of its divisors is an integer number (61846522920).

Almost surely, 211210211202120 is an apocalyptic number.

11210211202120 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 11210211202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15832709867520).

11210211202120 is an abundant number, since it is smaller than the sum of its proper divisors (20455208532920).

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

11210211202120 is a wasteful number, since it uses less digits than its factorization.

11210211202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3105 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11210211202120 its reverse (2120211201211), we get a palindrome (13330422403331).

Subtracting from 11210211202120 its reverse (2120211201211), we obtain a palindrome (9090000000909).

The spelling of 11210211202120 in words is "eleven trillion, two hundred ten billion, two hundred eleven million, two hundred two thousand, one hundred twenty".