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2123133312031 = 103115140494423
BaseRepresentation
bin11110111001010100100…
…110110101110000011111
321111222011210220012112021
4132321110212311300133
5234241134111441111
64303204243121011
7306251136246664
oct36712446656037
97458153805467
102123133312031
1174946344a686
122a3589073167
1312529793b114
1474a8ddc1a6b
153a3630abd71
hex1ee549b5c1f

2123133312031 has 16 divisors (see below), whose sum is σ = 2146623897600. Its totient is φ = 2099700028800.

The previous prime is 2123133311983. The next prime is 2123133312037. The reversal of 2123133312031 is 1302133313212.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2123133312031 is a prime.

It is a super-2 number, since 2×21231333120312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2123133311987 and 2123133312005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123133312037) 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, 480018886 + ... + 480023308.

It is an arithmetic number, because the mean of its divisors is an integer number (134163993600).

Almost surely, 22123133312031 is an apocalyptic number.

2123133312031 is a deficient number, since it is larger than the sum of its proper divisors (23490585569).

2123133312031 is a wasteful number, since it uses less digits than its factorization.

2123133312031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9726.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 2123133312031 its reverse (1302133313212), we get a palindrome (3425266625243).

The spelling of 2123133312031 in words is "two trillion, one hundred twenty-three billion, one hundred thirty-three million, three hundred twelve thousand, thirty-one".

Divisors: 1 103 1151 4049 4423 118553 417047 455569 4660399 5090873 17908727 480021097 524359919 1844598881 20612944777 2123133312031