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100020444202224 = 243271310374105027
BaseRepresentation
bin10110101111011111010011…
…000011000000010011110000
3111010010212020201200121102200
4112233133103003000103300
5101102213332203432344
6552420431400543200
730032144564040330
oct2657372303002360
9433125221617380
10100020444202224
1129962483251977
12b274770481b00
1343a6b6c86a620
141a9b0300c70c0
15b86b64531069
hex5af7d30c04f0

100020444202224 has 240 divisors, whose sum is σ = 347859672556032. Its totient is φ = 26122910925312.

The previous prime is 100020444202223. The next prime is 100020444202271. The reversal of 100020444202224 is 422202444020001.

100020444202224 is a `hidden beast` number, since 10 + 0 + 0 + 2 + 0 + 4 + 4 + 420 + 2 + 224 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020444202223) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 35702802 + ... + 38402225.

Almost surely, 2100020444202224 is an apocalyptic number.

100020444202224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100020444202224 is an abundant number, since it is smaller than the sum of its proper divisors (247839228353808).

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

100020444202224 is a wasteful number, since it uses less digits than its factorization.

100020444202224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74105164 (or 74105155 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 100020444202224 its reverse (422202444020001), we get a palindrome (522222888222225).

The spelling of 100020444202224 in words is "one hundred trillion, twenty billion, four hundred forty-four million, two hundred two thousand, two hundred twenty-four".