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1023200140401 = 32176687582617
BaseRepresentation
bin11101110001110110111…
…10110001110001110001
310121211001120120200002100
432320323132301301301
5113231003213443101
62102015054011013
7133631565456225
oct16707336616161
93554046520070
101023200140401
11364a3389384a
121463777a6a69
1375644960b7a
1437747752785
151b93840be86
hexee3b7b1c71

1023200140401 has 12 divisors (see below), whose sum is σ = 1564894332612. Its totient is φ = 642007931136.

The previous prime is 1023200140379. The next prime is 1023200140439. The reversal of 1023200140401 is 1040410023201.

1023200140401 is a `hidden beast` number, since 1 + 0 + 23 + 200 + 1 + 40 + 401 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 699103343376 + 324096797025 = 836124^2 + 569295^2 .

It is not a de Polignac number, because 1023200140401 - 26 = 1023200140337 is a prime.

It is a super-2 number, since 2×10232001404012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1023200140441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3343791156 + ... + 3343791461.

It is an arithmetic number, because the mean of its divisors is an integer number (130407861051).

Almost surely, 21023200140401 is an apocalyptic number.

It is an amenable number.

1023200140401 is a deficient number, since it is larger than the sum of its proper divisors (541694192211).

1023200140401 is a wasteful number, since it uses less digits than its factorization.

1023200140401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6687582640 (or 6687582637 counting only the distinct ones).

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

Adding to 1023200140401 its reverse (1040410023201), we get a palindrome (2063610163602).

The spelling of 1023200140401 in words is "one trillion, twenty-three billion, two hundred million, one hundred forty thousand, four hundred one".

Divisors: 1 3 9 17 51 153 6687582617 20062747851 60188243553 113688904489 341066713467 1023200140401