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1053455210241 = 3779736986171
BaseRepresentation
bin11110101010001101101…
…00101101011100000001
310201201011002211110111120
433111012310231130001
5114224434013211431
62123541201102453
7136052413354020
oct17250664553401
93651132743446
101053455210241
1137684a0035a5
12150200027a29
1378456b22165
1438db79d68b7
151c60961c196
hexf546d2d701

1053455210241 has 32 divisors (see below), whose sum is σ = 1625824358400. Its totient is φ = 594266924160.

The previous prime is 1053455210209. The next prime is 1053455210263. The reversal of 1053455210241 is 1420125543501.

1053455210241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1053455210241 - 25 = 1053455210209 is a prime.

It is a super-2 number, since 2×10534552102412 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053455210201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12182086 + ... + 12268256.

It is an arithmetic number, because the mean of its divisors is an integer number (50807011200).

Almost surely, 21053455210241 is an apocalyptic number.

It is an amenable number.

1053455210241 is a deficient number, since it is larger than the sum of its proper divisors (572369148159).

1053455210241 is an equidigital number, since it uses as much as digits as its factorization.

1053455210241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93629.

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 1053455210241 in words is "one trillion, fifty-three billion, four hundred fifty-five million, two hundred ten thousand, two hundred forty-one".

Divisors: 1 3 7 21 79 237 553 1659 7369 22107 51583 86171 154749 258513 582151 603197 1746453 1809591 4075057 6807509 12225171 20422527 47652563 142957689 634994099 1904982297 4444958693 13334876079 50164533821 150493601463 351151736747 1053455210241