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102001442224 = 24113118695279
BaseRepresentation
bin101111011111111000…
…0100111110110110000
3100202021122201010211111
41132333300213312300
53132344332122344
6114505300523104
710240455645013
oct1367760476660
9322248633744
10102001442224
113a293178290
12179280b0494
139807370396
144d18bb337a
1529becd4834
hex17bfc27db0

102001442224 has 40 divisors (see below), whose sum is σ = 222548613120. Its totient is φ = 44868667200.

The previous prime is 102001442167. The next prime is 102001442233. The reversal of 102001442224 is 422244100201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 102001442195 and 102001442204.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9342184 + ... + 9353095.

It is an arithmetic number, because the mean of its divisors is an integer number (5563715328).

Almost surely, 2102001442224 is an apocalyptic number.

It is an amenable number.

102001442224 is an abundant number, since it is smaller than the sum of its proper divisors (120547170896).

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

102001442224 is a wasteful number, since it uses less digits than its factorization.

102001442224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18695329 (or 18695323 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 102001442224 its reverse (422244100201), we get a palindrome (524245542425).

The spelling of 102001442224 in words is "one hundred two billion, one million, four hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 1364 2728 5456 18695279 37390558 74781116 149562232 205648069 299124464 411296138 579553649 822592276 1159107298 1645184552 2318214596 3290369104 4636429192 6375090139 9272858384 12750180278 25500360556 51000721112 102001442224