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100010041424244 = 223272318532144047
BaseRepresentation
bin10110101111010101100110…
…111111100011100101110100
3111010002212101202000201210100
4112233111212333203211310
5101102031031101033434
6552411551225154100
730031326025633500
oct2657254677434564
9433085352021710
10100010041424244
11299590251448a6
12b27274862b930
1343a5ba25a82b3
141a9a724679300
15b86756111699
hex5af566fe3974

100010041424244 has 216 divisors, whose sum is σ = 303919524400128. Its totient is φ = 27620115143040.

The previous prime is 100010041424219. The next prime is 100010041424263. The reversal of 100010041424244 is 442424140010001.

It is a happy number.

100010041424244 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 0 + 0 + 414 + 2 + 4 + 244 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45573429 + ... + 47717475.

Almost surely, 2100010041424244 is an apocalyptic number.

100010041424244 is a gapful number since it is divisible by the number (14) 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 100010041424244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151959762200064).

100010041424244 is an abundant number, since it is smaller than the sum of its proper divisors (203909482975884).

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

100010041424244 is a wasteful number, since it uses less digits than its factorization.

100010041424244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144955 (or 2144943 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 100010041424244 its reverse (442424140010001), we get a palindrome (542434181434245).

The spelling of 100010041424244 in words is "one hundred trillion, ten billion, forty-one million, four hundred twenty-four thousand, two hundred forty-four".