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1020450205431 = 33192190155073
BaseRepresentation
bin11101101100101111001…
…00100110111011110111
310121112221221002111111000
432312113210212323313
5113204340223033211
62100442141214343
7133503464426136
oct16662744467367
93545857074430
101020450205431
113638525a0a18
1214592a8613b3
13752c7012807
143756644191d
151b826cb1656
hexed97926ef7

1020450205431 has 48 divisors (see below), whose sum is σ = 1596401399520. Its totient is φ = 644144140800.

The previous prime is 1020450205403. The next prime is 1020450205477. The reversal of 1020450205431 is 1345020540201.

1020450205431 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 450 + 205 + 4 + 3 + 1 = 666.

It is not a de Polignac number, because 1020450205431 - 29 = 1020450204919 is a prime.

It is a super-2 number, since 2×10204502054312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1020450205395 and 1020450205404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020450205631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18501511 + ... + 18556583.

It is an arithmetic number, because the mean of its divisors is an integer number (33258362490).

Almost surely, 21020450205431 is an apocalyptic number.

1020450205431 is a deficient number, since it is larger than the sum of its proper divisors (575951194089).

1020450205431 is a wasteful number, since it uses less digits than its factorization.

1020450205431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57021 (or 56996 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 1020450205431 its reverse (1345020540201), we get a palindrome (2365470745632).

The spelling of 1020450205431 in words is "one trillion, twenty billion, four hundred fifty million, two hundred five thousand, four hundred thirty-one".

Divisors: 1 3 9 19 27 57 171 361 513 1083 1901 3249 5703 9747 17109 36119 51327 55073 108357 165219 325071 495657 686261 975213 1046387 1486971 2058783 3139161 6176349 9417483 18529047 19881353 28252449 59644059 104693773 178932177 314081319 536796531 942243957 1989181687 2826731871 5967545061 17902635183 37794452053 53707905549 113383356159 340150068477 1020450205431