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13023120203100 = 22335271759686993
BaseRepresentation
bin1011110110000010111001…
…1101000001110101011100
31201002222221122020112112000
42331200232131001311130
53201332322232444400
643410423330442300
72512614026156340
oct275405635016534
951088848215460
1013023120203100
11417108a92a567
121563b74733390
137360c8912a77
14330472883620
15178b642dc600
hexbd82e741d5c

13023120203100 has 576 divisors, whose sum is σ = 51521252428800. Its totient is φ = 2754123448320.

The previous prime is 13023120203053. The next prime is 13023120203111. The reversal of 13023120203100 is 130202132031.

13023120203100 is a `hidden beast` number, since 1 + 302 + 31 + 2 + 0 + 20 + 310 + 0 = 666.

It is a super-2 number, since 2×130231202031002 (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 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 191 ways as a sum of consecutive naturals, for example, 18613204 + ... + 19300196.

It is an arithmetic number, because the mean of its divisors is an integer number (89446618800).

Almost surely, 213023120203100 is an apocalyptic number.

13023120203100 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 13023120203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25760626214400).

13023120203100 is an abundant number, since it is smaller than the sum of its proper divisors (38498132225700).

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

13023120203100 is a wasteful number, since it uses less digits than its factorization.

13023120203100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687099 (or 687086 counting only the distinct ones).

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

Adding to 13023120203100 its reverse (130202132031), we get a palindrome (13153322335131).

The spelling of 13023120203100 in words is "thirteen trillion, twenty-three billion, one hundred twenty million, two hundred three thousand, one hundred".