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1023144200001 = 327112683550279
BaseRepresentation
bin11101110001110000010…
…01011000011101000001
310121210220200022121021200
432320320021120131001
5113230344403400001
62102005335011413
7133630316130540
oct16707011303501
93553820277250
101023144200001
11364a05255a10
12146360b09b69
13756361a5941
1437740150157
151b93355c086
hexee38258741

1023144200001 has 48 divisors (see below), whose sum is σ = 1843235496960. Its totient is φ = 531304414560.

The previous prime is 1023144199999. The next prime is 1023144200017. The reversal of 1023144200001 is 1000024413201.

1023144200001 is a `hidden beast` number, since 10 + 231 + 4 + 420 + 0 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 1023144200001 - 21 = 1023144199999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1023144200401) 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, 1584180 + ... + 2134458.

It is an arithmetic number, because the mean of its divisors is an integer number (38400739520).

Almost surely, 21023144200001 is an apocalyptic number.

1023144200001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1023144200001 is a deficient number, since it is larger than the sum of its proper divisors (820091296959).

1023144200001 is a wasteful number, since it uses less digits than its factorization.

1023144200001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552986 (or 552983 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1023144200001 its reverse (1000024413201), we get a palindrome (2023168613202).

The spelling of 1023144200001 in words is "one trillion, twenty-three billion, one hundred forty-four million, two hundred thousand, one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 2683 8049 18781 24147 29513 56343 88539 169029 206591 265617 550279 619773 1650837 1859319 3851953 4952511 6053069 11555859 18159207 34667577 42371483 54477621 127114449 381343347 1476398557 4429195671 10334789899 13287587013 16240384127 31004369697 48721152381 93013109091 113682688889 146163457143 341048066667 1023144200001