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1020434441433 = 311411516198069
BaseRepresentation
bin11101101100101101010…
…00011110010011011001
310121112220211102121100020
432312112220132103121
5113204322204111213
62100440415301053
7133503213432021
oct16662650362331
93545824377306
101020434441433
11363844704220
1214592551a789
13752c39834c4
14375642daa81
151b8256ea923
hexed96a1e4d9

1020434441433 has 64 divisors (see below), whose sum is σ = 1533201868800. Its totient is φ = 598322880000.

The previous prime is 1020434441393. The next prime is 1020434441471. The reversal of 1020434441433 is 3341444340201.

It is not a de Polignac number, because 1020434441433 - 213 = 1020434433241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1020434441394 and 1020434441403.

It is not an unprimeable number, because it can be changed into a prime (1020434441483) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126459523 + ... + 126467591.

It is an arithmetic number, because the mean of its divisors is an integer number (23956279200).

Almost surely, 21020434441433 is an apocalyptic number.

It is an amenable number.

1020434441433 is a deficient number, since it is larger than the sum of its proper divisors (512767427367).

1020434441433 is a wasteful number, since it uses less digits than its factorization.

1020434441433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8894.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 1020434441433 its reverse (3341444340201), we get a palindrome (4361878781634).

The spelling of 1020434441433 in words is "one trillion, twenty billion, four hundred thirty-four million, four hundred forty-one thousand, four hundred thirty-three".

Divisors: 1 3 11 33 41 123 151 451 453 619 1353 1661 1857 4983 6191 6809 8069 18573 20427 24207 25379 68101 76137 88759 93469 204303 266277 279169 280407 330829 837507 992487 1028159 1218419 3084477 3639119 3655257 3832229 4994711 10917357 11496687 13402609 14984133 40207827 42154519 49955179 54941821 126463557 149865537 164825463 204783151 549506969 614349453 754201361 1648520907 2252614661 2262604083 6757843983 8296214971 24888644913 30922255801 92766767403 340144813811 1020434441433