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1020533454441 = 321753125851949
BaseRepresentation
bin11101101100111001000…
…10001011011001101001
310121120011201201222122200
432312130202023121221
5113210023031020231
62100454313410413
7133505525143464
oct16663442133151
93546151658580
101020533454441
11363895591156
12145952709a09
137530b33c997
14375735122db
151b82e257be6
hexed9c88b669

1020533454441 has 24 divisors (see below), whose sum is σ = 1590265240200. Its totient is φ = 628252924416.

The previous prime is 1020533454439. The next prime is 1020533454467. The reversal of 1020533454441 is 1444543350201.

1020533454441 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 533 + 45 + 44 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 461883344400 + 558650110041 = 679620^2 + 747429^2 .

It is not a de Polignac number, because 1020533454441 - 21 = 1020533454439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020533454396 and 1020533454405.

It is not an unprimeable number, because it can be changed into a prime (1020533454431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62917866 + ... + 62934083.

It is an arithmetic number, because the mean of its divisors is an integer number (66261051675).

Almost surely, 21020533454441 is an apocalyptic number.

It is an amenable number.

1020533454441 is a deficient number, since it is larger than the sum of its proper divisors (569731785759).

1020533454441 is a wasteful number, since it uses less digits than its factorization.

1020533454441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125852025 (or 125852022 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 1020533454441 in words is "one trillion, twenty billion, five hundred thirty-three million, four hundred fifty-four thousand, four hundred forty-one".

Divisors: 1 3 9 17 51 53 153 159 477 901 2703 8109 125851949 377555847 1132667541 2139483133 6418449399 6670153297 19255348197 20010459891 60031379673 113392606049 340177818147 1020533454441