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1023599130 = 23523264499
BaseRepresentation
bin111101000000101…
…110001000011010
32122100002020000220
4331000232020122
54044020133010
6245323140510
734236310011
oct7500561032
92570066026
101023599130
114858821a4
12246974736
131340b0878
1499d31a78
155ece3970
hex3d02e21a

1023599130 has 48 divisors (see below), whose sum is σ = 2568132000. Its totient is φ = 261087904.

The previous prime is 1023599113. The next prime is 1023599177. The reversal of 1023599130 is 319953201.

1023599130 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1023599091 and 1023599100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16380 + ... + 48119.

It is an arithmetic number, because the mean of its divisors is an integer number (53502750).

Almost surely, 21023599130 is an apocalyptic number.

1023599130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1023599130 is an abundant number, since it is smaller than the sum of its proper divisors (1544532870).

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

1023599130 is a wasteful number, since it uses less digits than its factorization.

1023599130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64555 (or 64532 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 33.

The square root of 1023599130 is about 31993.7357931205. The cubic root of 1023599130 is about 1007.8052955221.

The spelling of 1023599130 in words is "one billion, twenty-three million, five hundred ninety-nine thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 529 690 1058 1587 2645 3174 5290 7935 15870 64499 128998 193497 322495 386994 644990 967485 1483477 1934970 2966954 4450431 7417385 8900862 14834770 22252155 34119971 44504310 68239942 102359913 170599855 204719826 341199710 511799565 1023599130