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10322130440 = 2352364317449
BaseRepresentation
bin10011001110011111…
…10011011000001000
3222122100220120000102
421213033303120020
5132114431133230
64424131024532
7513535442516
oct114717633010
928570816012
1010322130440
114417634416
122000a3b148
13c866662bb
146dcc574b6
154062de045
hex2673f3608

10322130440 has 64 divisors (see below), whose sum is σ = 24273648000. Its totient is φ = 3942968832.

The previous prime is 10322130373. The next prime is 10322130451. The reversal of 10322130440 is 4403122301.

10322130440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 582836 + ... + 600284.

It is an arithmetic number, because the mean of its divisors is an integer number (379275750).

Almost surely, 210322130440 is an apocalyptic number.

10322130440 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 10322130440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12136824000).

10322130440 is an abundant number, since it is smaller than the sum of its proper divisors (13951517560).

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

10322130440 is a wasteful number, since it uses less digits than its factorization.

10322130440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18126 (or 18122 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10322130440 its reverse (4403122301), we get a palindrome (14725252741).

The spelling of 10322130440 in words is "ten billion, three hundred twenty-two million, one hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 643 920 1286 2572 3215 5144 6430 12860 14789 17449 25720 29578 34898 59156 69796 73945 87245 118312 139592 147890 174490 295780 348980 401327 591560 697960 802654 1605308 2006635 3210616 4013270 8026540 11219707 16053080 22439414 44878828 56098535 89757656 112197070 224394140 258053261 448788280 516106522 1032213044 1290266305 2064426088 2580532610 5161065220 10322130440