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1028018013228 = 223228556055923
BaseRepresentation
bin11101111010110101010…
…01100000010000101100
310122021111100020222010200
432331122221200100230
5113320340102410403
62104133121433500
7134162146635543
oct16753251402054
93567440228120
101028018013228
11366a86405a28
121472a119b890
1375c31b525ab
1437a8356515a
151bb1b389ca3
hexef5aa6042c

1028018013228 has 18 divisors (see below), whose sum is σ = 2598601089084. Its totient is φ = 342672671064.

The previous prime is 1028018013223. The next prime is 1028018013241. The reversal of 1028018013228 is 8223108108201.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 28556055923 = 1028018013228 / (1 + 0 + 2 + 8 + 0 + 1 + 8 + 0 + 1 + 3 + 2 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 1028018013192 and 1028018013201.

It is not an unprimeable number, because it can be changed into a prime (1028018013223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14278027926 + ... + 14278027997.

Almost surely, 21028018013228 is an apocalyptic number.

1028018013228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1028018013228 is an abundant number, since it is smaller than the sum of its proper divisors (1570583075856).

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

1028018013228 is a wasteful number, since it uses less digits than its factorization.

1028018013228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28556055933 (or 28556055928 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 1028018013228 in words is "one trillion, twenty-eight billion, eighteen million, thirteen thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 28556055923 57112111846 85668167769 114224223692 171336335538 257004503307 342672671076 514009006614 1028018013228