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820424243034123 = 37136369747179883
BaseRepresentation
bin1011101010001010111110011…
…1100100100011100000001011
310222120212210101010002211202220
42322202233213210203200023
51330013312322204042443
612024521405532425123
7334544460363121440
oct27242574744434013
93876783333084686
10820424243034123
11218459a70860012
127802386b0181a3
13292a289c15aa70
1410684a60cd39c7
1564cb1b5ed7a83
hex2ea2be792380b

820424243034123 has 32 divisors (see below), whose sum is σ = 1346358384462336. Its totient is φ = 432744445997568.

The previous prime is 820424243034113. The next prime is 820424243034203. The reversal of 820424243034123 is 321430342424028.

820424243034123 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 820424243034123 - 28 = 820424243033867 is a prime.

It is a super-2 number, since 2×8204242430341232 (a number of 31 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (820424243034113) 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, 6200661 + ... + 40979222.

It is an arithmetic number, because the mean of its divisors is an integer number (42073699514448).

Almost surely, 2820424243034123 is an apocalyptic number.

820424243034123 is a deficient number, since it is larger than the sum of its proper divisors (525934141428213).

820424243034123 is a wasteful number, since it uses less digits than its factorization.

820424243034123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47243603.

The product of its (nonzero) digits is 884736, while the sum is 42.

The spelling of 820424243034123 in words is "eight hundred twenty trillion, four hundred twenty-four billion, two hundred forty-three million, thirty-four thousand, one hundred twenty-three".

Divisors: 1 3 7 13 21 39 91 273 63697 191091 445879 828061 1337637 2484183 5796427 17389281 47179883 141539649 330259181 613338479 990777543 1840015437 4293369353 12880108059 3005217007451 9015651022353 21036519052157 39067821096863 63109557156471 117203463290589 273474747678041 820424243034123