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42000213123 = 3311891588931
BaseRepresentation
bin100111000111011010…
…000110010010000011
311000102001210220002000
4213013122012102003
51142004023304443
631143350155043
73014542630641
oct470732062203
9130361726060
1042000213123
11168a3030840
128181952a83
133c645a291b
1420660c0191
15115c3dc8d3
hex9c7686483

42000213123 has 32 divisors (see below), whose sum is σ = 68641862400. Its totient is φ = 25168651200.

The previous prime is 42000213109. The next prime is 42000213137. The reversal of 42000213123 is 32131200024.

It is an interprime number because it is at equal distance from previous prime (42000213109) and next prime (42000213137).

It is not a de Polignac number, because 42000213123 - 25 = 42000213091 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42000213096 and 42000213105.

It is not an unprimeable number, because it can be changed into a prime (42000213193) 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, 768033 + ... + 820898.

It is an arithmetic number, because the mean of its divisors is an integer number (2145058200).

Almost surely, 242000213123 is an apocalyptic number.

42000213123 is a deficient number, since it is larger than the sum of its proper divisors (26641649277).

42000213123 is a wasteful number, since it uses less digits than its factorization.

42000213123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589040 (or 1589034 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 42000213123 its reverse (32131200024), we get a palindrome (74131413147).

The spelling of 42000213123 in words is "forty-two billion, two hundred thirteen thousand, one hundred twenty-three".

Divisors: 1 3 9 11 27 33 89 99 267 297 801 979 2403 2937 8811 26433 1588931 4766793 14300379 17478241 42901137 52434723 141414859 157304169 424244577 471912507 1272733731 1555563449 3818201193 4666690347 14000071041 42000213123