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11302002031320 = 233257311133717299
BaseRepresentation
bin1010010001110111001111…
…0100001111101011011000
31111000110102221202102201200
42210131303310033223120
52440133000010000240
640012022411114200
72244354101121000
oct244356364175330
944013387672650
1011302002031320
11366817455aa50
1213264a1742960
1363ca0ac5b780
142b103c541000
15148ece9cc930
hexa4773d0fad8

11302002031320 has 1536 divisors, whose sum is σ = 51687417600000. Its totient is φ = 2109105008640.

The previous prime is 11302002031303. The next prime is 11302002031367. The reversal of 11302002031320 is 2313020020311.

11302002031320 is a `hidden beast` number, since 1 + 130 + 200 + 2 + 0 + 313 + 20 = 666.

It is a super-2 number, since 2×113020020313202 (a number of 27 digits) contains 22 as substring.

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 = 11302002031293 and 11302002031302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 653324031 + ... + 653341329.

It is an arithmetic number, because the mean of its divisors is an integer number (33650662500).

Almost surely, 211302002031320 is an apocalyptic number.

11302002031320 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 11302002031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25843708800000).

11302002031320 is an abundant number, since it is smaller than the sum of its proper divisors (40385415568680).

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

11302002031320 is a wasteful number, since it uses less digits than its factorization.

11302002031320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17398 (or 17377 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11302002031320 its reverse (2313020020311), we get a palindrome (13615022051631).

The spelling of 11302002031320 in words is "eleven trillion, three hundred two billion, two million, thirty-one thousand, three hundred twenty".