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12001022010003 = 3131021301389337
BaseRepresentation
bin1010111010100011010010…
…1001110110001010010011
31120111021201212011120221210
42232220310221312022103
53033111043113310003
641305105435151203
72346021340653345
oct256506451661223
946437655146853
1012001022010003
113907672071074
121419a65ba5503
136908cb365030
142d6bd1619295
1515c2929ed503
hexaea34a76293

12001022010003 has 16 divisors (see below), whose sum is σ = 17249114592416. Its totient is φ = 7378010945280.

The previous prime is 12001022009983. The next prime is 12001022010071. The reversal of 12001022010003 is 30001022010021.

12001022010003 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 12001022010003 - 218 = 12001021747859 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12001022210003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150654850 + ... + 150734487.

It is an arithmetic number, because the mean of its divisors is an integer number (1078069662026).

Almost surely, 212001022010003 is an apocalyptic number.

12001022010003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12001022010003 is a deficient number, since it is larger than the sum of its proper divisors (5248092582413).

12001022010003 is a wasteful number, since it uses less digits than its factorization.

12001022010003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301390374.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12001022010003 its reverse (30001022010021), we get a palindrome (42002044020024).

The spelling of 12001022010003 in words is "twelve trillion, one billion, twenty-two million, ten thousand, three".

Divisors: 1 3 13 39 1021 3063 13273 39819 301389337 904168011 3918061381 11754184143 307718513077 923155539231 4000340670001 12001022010003