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1003002002123 = 1123131199915139
BaseRepresentation
bin11101001100001111001…
…00111111101011001011
310112212220221012221012212
432212013210333223023
5112413122003031443
62044434525455335
7132315216230552
oct16460744775313
93485827187185
101003002002123
11357409533590
1214247b41154b
1373776201464
143678d010d99
151b1550a3618
hexe98793facb

1003002002123 has 32 divisors (see below), whose sum is σ = 1151124480000. Its totient is φ = 865027706400.

The previous prime is 1003002002071. The next prime is 1003002002137. The reversal of 1003002002123 is 3212002003001.

It is a happy number.

It is not a de Polignac number, because 1003002002123 - 224 = 1002985224907 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1003002002098 and 1003002002107.

It is not an unprimeable number, because it can be changed into a prime (1003002002423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66245288 + ... + 66260426.

It is an arithmetic number, because the mean of its divisors is an integer number (35972640000).

Almost surely, 21003002002123 is an apocalyptic number.

1003002002123 is a deficient number, since it is larger than the sum of its proper divisors (148122477877).

1003002002123 is a wasteful number, since it uses less digits than its factorization.

1003002002123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17303.

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 1003002002123 its reverse (3212002003001), we get a palindrome (4215004005124).

The spelling of 1003002002123 in words is "one trillion, three billion, two million, two thousand, one hundred twenty-three".

Divisors: 1 11 23 131 253 1441 1999 3013 15139 21989 33143 45977 166529 261869 348197 505747 1983209 2880559 3830167 6022987 21815299 30262861 45613807 66252857 332891471 501751877 696045803 3964434791 7656503833 43608782701 91182000193 1003002002123