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100013111203200 = 27352132539315631
BaseRepresentation
bin10110101111011000011101…
…111101110101010110000000
3111010010011022200100122212020
4112233120131331311112000
5101102103322432000300
6552413220005201440
730031465062422406
oct2657303575652600
9433104280318766
10100013111203200
112995a35aa351a8
12b273264700280
1343a6271581850
141a9a936247476
15b8688588a8a0
hex5af61df75580

100013111203200 has 384 divisors, whose sum is σ = 354898893350400. Its totient is φ = 24608837836800.

The previous prime is 100013111203129. The next prime is 100013111203207. The reversal of 100013111203200 is 2302111310001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100013111203200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013111203207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316709385 + ... + 317025015.

It is an arithmetic number, because the mean of its divisors is an integer number (924215868100).

Almost surely, 2100013111203200 is an apocalyptic number.

100013111203200 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 100013111203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177449446675200).

100013111203200 is an abundant number, since it is smaller than the sum of its proper divisors (254885782147200).

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

100013111203200 is a wasteful number, since it uses less digits than its factorization.

100013111203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318210 (or 318193 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100013111203200 its reverse (2302111310001), we get a palindrome (102315222513201).

The spelling of 100013111203200 in words is "one hundred trillion, thirteen billion, one hundred eleven million, two hundred three thousand, two hundred".