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1055142110000 = 2454119592201
BaseRepresentation
bin11110101101010110101…
…11101110001100110000
310201212111200000211221102
433112223113232030300
5114241412340010000
62124420421143532
7136142255645066
oct17265327561460
93655450024842
101055142110000
11377535239330
121505b0b5aba8
13786654629b4
14390d7a6c036
151c6a77843d5
hexf5ab5ee330

1055142110000 has 100 divisors (see below), whose sum is σ = 2786841631464. Its totient is φ = 383688000000.

The previous prime is 1055142109937. The next prime is 1055142110003. The reversal of 1055142110000 is 112415501.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×10551421100002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1055142110003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4686101 + ... + 4906100.

Almost surely, 21055142110000 is an apocalyptic number.

1055142110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1055142110000 is an abundant number, since it is smaller than the sum of its proper divisors (1731699521464).

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

1055142110000 is an equidigital number, since it uses as much as digits as its factorization.

1055142110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9592240 (or 9592219 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

Adding to 1055142110000 its reverse (112415501), we get a palindrome (1055254525501).

The spelling of 1055142110000 in words is "one trillion, fifty-five billion, one hundred forty-two million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 9592201 19184402 38368804 47961005 76737608 95922010 105514211 153475216 191844020 211028422 239805025 383688040 422056844 479610050 527571055 767376080 844113688 959220100 1055142110 1199025125 1688227376 1918440200 2110284220 2398050250 2637855275 3836880400 4220568440 4796100500 5275710550 5995125625 8441136880 9592201000 10551421100 11990251250 13189276375 19184402000 21102842200 23980502500 26378552750 42205684400 47961005000 52757105500 65946381875 95922010000 105514211000 131892763750 211028422000 263785527500 527571055000 1055142110000