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2003031121401 = 322910175984641
BaseRepresentation
bin11101001001011101111…
…101010101110111111001
321002111011200102202211200
4131021131331111313321
5230304201431341101
64132102500244413
7264466656416502
oct35113575256771
97074150382750
102003031121401
117025319381a2
1228424b0a0709
13116b6752412b
146cd39277ba9
153718416c986
hex1d25df55df9

2003031121401 has 24 divisors (see below), whose sum is σ = 3022669058760. Its totient is φ = 1276541952000.

The previous prime is 2003031121363. The next prime is 2003031121417. The reversal of 2003031121401 is 1041211303002.

2003031121401 is a `hidden beast` number, since 200 + 30 + 3 + 11 + 21 + 401 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 278736482025 + 1724294639376 = 527955^2 + 1313124^2 .

It is not a de Polignac number, because 2003031121401 - 229 = 2002494250489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2003031121471) 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, 37965960 + ... + 38018681.

It is an arithmetic number, because the mean of its divisors is an integer number (125944544115).

Almost surely, 22003031121401 is an apocalyptic number.

It is an amenable number.

2003031121401 is a deficient number, since it is larger than the sum of its proper divisors (1019637937359).

2003031121401 is a wasteful number, since it uses less digits than its factorization.

2003031121401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75984777 (or 75984774 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2003031121401 its reverse (1041211303002), we get a palindrome (3044242424403).

The spelling of 2003031121401 in words is "two trillion, three billion, thirty-one million, one hundred twenty-one thousand, four hundred one".

Divisors: 1 3 9 29 87 101 261 303 909 2929 8787 26361 75984641 227953923 683861769 2203554589 6610663767 7674448741 19831991301 23023346223 69070038669 222559013489 667677040467 2003031121401