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13111230100320 = 25325114777322783
BaseRepresentation
bin1011111011001011001000…
…1101100111001101100000
31201102102101011120002001200
42332302302031213031200
53204303244401202240
643515114351401200
72522153335014222
oct276626215471540
951372334502050
1013111230100320
1141a5494645440
121579064523200
137414cac88321
14334830732412
1517b0be763930
hexbecb2367360

13111230100320 has 576 divisors, whose sum is σ = 49914711834624. Its totient is φ = 3106692034560.

The previous prime is 13111230100313. The next prime is 13111230100349. The reversal of 13111230100320 is 2300103211131.

13111230100320 is a `hidden beast` number, since 1 + 3 + 1 + 11 + 230 + 100 + 320 = 666.

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 = 13111230100293 and 13111230100302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 575471649 + ... + 575494431.

It is an arithmetic number, because the mean of its divisors is an integer number (86657485824).

Almost surely, 213111230100320 is an apocalyptic number.

13111230100320 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 13111230100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24957355917312).

13111230100320 is an abundant number, since it is smaller than the sum of its proper divisors (36803481734304).

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

13111230100320 is a wasteful number, since it uses less digits than its factorization.

13111230100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23635 (or 23624 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13111230100320 its reverse (2300103211131), we get a palindrome (15411333311451).

The spelling of 13111230100320 in words is "thirteen trillion, one hundred eleven billion, two hundred thirty million, one hundred thousand, three hundred twenty".