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141055221410100 = 223252172661820441
BaseRepresentation
bin100000000100100111111010…
…010111011010100100110100
3200111102202011220111020211100
4200010213322113122210310
5121442022043140110400
61215555512452010100
741465621611213614
oct4004477227324464
9614382156436740
10141055221410100
1140a43202202948
12139a1544300930
1360925b141a01a
1426b91756bca44
151149283bd7100
hex8049fa5da934

141055221410100 has 324 divisors, whose sum is σ = 470378362296388. Its totient is φ = 35348493312000.

The previous prime is 141055221410029. The next prime is 141055221410101. The reversal of 141055221410100 is 1014122550141.

141055221410100 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 552 + 2 + 1 + 4 + 1 + 0 + 100 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 74270303192484 + 66784918217616 = 8618022^2 + 8172204^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141055221410101) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 171515880 + ... + 172336320.

Almost surely, 2141055221410100 is an apocalyptic number.

141055221410100 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 141055221410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235189181148194).

141055221410100 is an abundant number, since it is smaller than the sum of its proper divisors (329323140886288).

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

141055221410100 is a wasteful number, since it uses less digits than its factorization.

141055221410100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821156 (or 821129 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 141055221410100 its reverse (1014122550141), we get a palindrome (142069343960241).

The spelling of 141055221410100 in words is "one hundred forty-one trillion, fifty-five billion, two hundred twenty-one million, four hundred ten thousand, one hundred".