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11310321111120 = 24325193492368991
BaseRepresentation
bin1010010010010110001110…
…1011000001000001010000
31111001020220201120110211100
42210211203223001001100
52440302014201023440
640015520105544400
72245100205124653
oct244454353010120
944036821513740
1011310321111120
113670753453809
1213280237a5100
1364073561ccb5
142b15cb34789a
1514931a005230
hexa4963ac1050

11310321111120 has 240 divisors, whose sum is σ = 40097558592000. Its totient is φ = 2849155845120.

The previous prime is 11310321111119. The next prime is 11310321111137. The reversal of 11310321111120 is 2111112301311.

11310321111120 is a `hidden beast` number, since 1 + 1 + 310 + 321 + 1 + 1 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11310321111093 and 11310321111102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3589825 + ... + 5958815.

It is an arithmetic number, because the mean of its divisors is an integer number (167073160800).

Almost surely, 211310321111120 is an apocalyptic number.

11310321111120 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 11310321111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20048779296000).

11310321111120 is an abundant number, since it is smaller than the sum of its proper divisors (28787237480880).

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

11310321111120 is a wasteful number, since it uses less digits than its factorization.

11310321111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369378 (or 2369369 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 11310321111120 its reverse (2111112301311), we get a palindrome (13421433412431).

The spelling of 11310321111120 in words is "eleven trillion, three hundred ten billion, three hundred twenty-one million, one hundred eleven thousand, one hundred twenty".