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10423024300 = 2252132677911
BaseRepresentation
bin10011011010100001…
…01011101010101100
3222220101202111101001
421231100223222230
5132321243234200
64442133330044
7516202146643
oct115520535254
928811674331
1010423024300
114469586477
12202a796924
13ca1530900
1470c3dc35a
154100bd76a
hex26d42baac

10423024300 has 108 divisors (see below), whose sum is σ = 24554740896. Its totient is φ = 3838598400.

The previous prime is 10423024291. The next prime is 10423024319. The reversal of 10423024300 is 342032401.

10423024300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11440845 + ... + 11441755.

It is an arithmetic number, because the mean of its divisors is an integer number (227358712).

Almost surely, 210423024300 is an apocalyptic number.

10423024300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10423024300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12277370448).

10423024300 is an abundant number, since it is smaller than the sum of its proper divisors (14131716596).

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

10423024300 is a wasteful number, since it uses less digits than its factorization.

10423024300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 10423024300 its reverse (342032401), we get a palindrome (10765056701).

The spelling of 10423024300 in words is "ten billion, four hundred twenty-three million, twenty-four thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 677 845 911 1300 1354 1690 1822 2708 3380 3385 3644 4225 4555 6770 8450 8801 9110 11843 13540 16900 16925 17602 18220 22775 23686 33850 35204 44005 45550 47372 59215 67700 88010 91100 114413 118430 153959 176020 220025 228826 236860 296075 307918 440050 457652 572065 592150 615836 616747 769795 880100 1144130 1184300 1233494 1539590 2288260 2466988 2860325 3079180 3083735 3848975 5720650 6167470 7697950 8017711 11441300 12334940 15395900 15418675 16035422 30837350 32070844 40088555 61674700 80177110 104230243 160354220 200442775 208460486 400885550 416920972 521151215 801771100 1042302430 2084604860 2605756075 5211512150 10423024300