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10322134240 = 255115864849
BaseRepresentation
bin10011001110011111…
…10100010011100000
3222122100220202020011
421213033310103200
5132114431243430
64424131054304
7513535456555
oct114717642340
928570822204
1010322134240
114417637260
122000a41394
13c86667c52
146dcc58a2c
154062e022a
hex2673f44e0

10322134240 has 48 divisors (see below), whose sum is σ = 26602959600. Its totient is φ = 3753502720.

The previous prime is 10322134231. The next prime is 10322134243. The reversal of 10322134240 is 4243122301.

10322134240 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 (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10322134243) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2930665 + ... + 2934184.

It is an arithmetic number, because the mean of its divisors is an integer number (554228325).

Almost surely, 210322134240 is an apocalyptic number.

10322134240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10322134240 is an abundant number, since it is smaller than the sum of its proper divisors (16280825360).

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

10322134240 is a wasteful number, since it uses less digits than its factorization.

10322134240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5864875 (or 5864867 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10322134240 its reverse (4243122301), we get a palindrome (14565256541).

The spelling of 10322134240 in words is "ten billion, three hundred twenty-two million, one hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 5864849 11729698 23459396 29324245 46918792 58648490 64513339 93837584 117296980 129026678 187675168 234593960 258053356 322566695 469187920 516106712 645133390 938375840 1032213424 1290266780 2064426848 2580533560 5161067120 10322134240