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2023130034 = 235109181211
BaseRepresentation
bin111100010010110…
…1000001110110010
312012222212122200000
41320211220032302
513120410130114
6532430410430
7101064215202
oct17045501662
95188778600
102023130034
119490055a2
12485660a16
132631b5383
1415299a402
15bc930e09
hex789683b2

2023130034 has 96 divisors (see below), whose sum is σ = 4634710080. Its totient is φ = 661348800.

The previous prime is 2023130023. The next prime is 2023130047. The reversal of 2023130034 is 4300313202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2023129989 and 2023130016.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9588189 + ... + 9588399.

It is an arithmetic number, because the mean of its divisors is an integer number (48278230).

Almost surely, 22023130034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023130034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317355040).

2023130034 is an abundant number, since it is smaller than the sum of its proper divisors (2611580046).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2023130034 is a wasteful number, since it uses less digits than its factorization.

2023130034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2023130034 is about 44979.2178011134. The cubic root of 2023130034 is about 1264.7594482892.

Adding to 2023130034 its reverse (4300313202), we get a palindrome (6323443236).

The spelling of 2023130034 in words is "two billion, twenty-three million, one hundred thirty thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 109 162 181 211 218 243 327 362 422 486 543 633 654 981 1086 1266 1629 1899 1962 2943 3258 3798 4887 5697 5886 8829 9774 11394 14661 17091 17658 19729 22999 26487 29322 34182 38191 39458 43983 45998 51273 52974 59187 68997 76382 87966 102546 114573 118374 137994 177561 206991 229146 343719 355122 413982 532683 620973 687438 1031157 1065366 1241946 1598049 1862919 2062314 3093471 3196098 3725838 4162819 4794147 5588757 6186942 8325638 9280413 9588294 11177514 12488457 18560826 24976914 37465371 74930742 112396113 224792226 337188339 674376678 1011565017 2023130034