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13010311032030 = 232513109337302723
BaseRepresentation
bin1011110101010011001011…
…1101111010110011011110
31201001202212221112020010200
42331110302331322303132
53201130104111011110
643400504313444330
72511651431051304
oct275246275726336
951052787466120
1013010311032030
114166707443774
12156159aa106a6
13734b36c36bc0
1432d9b95d0274
151786649d26c0
hexbd532f7acde

13010311032030 has 192 divisors, whose sum is σ = 36872291776320. Its totient is φ = 3163730669568.

The previous prime is 13010311032029. The next prime is 13010311032053. The reversal of 13010311032030 is 3023011301031.

It is a happy number.

13010311032030 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 0 + 311 + 0 + 320 + 30 = 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 = 13010311031994 and 13010311032012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42826249 + ... + 43128971.

It is an arithmetic number, because the mean of its divisors is an integer number (192043186335).

Almost surely, 213010311032030 is an apocalyptic number.

13010311032030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13010311032030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18436145888160).

13010311032030 is an abundant number, since it is smaller than the sum of its proper divisors (23861980744290).

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

13010311032030 is a wasteful number, since it uses less digits than its factorization.

13010311032030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303195 (or 303192 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13010311032030 its reverse (3023011301031), we get a palindrome (16033322333061).

The spelling of 13010311032030 in words is "thirteen trillion, ten billion, three hundred eleven million, thirty-two thousand, thirty".