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10320441000 = 233533440147
BaseRepresentation
bin10011001110010010…
…10110111010101000
3222122020201201112120
421213021112322220
5132114013103000
64424030511240
7513515205162
oct114711267250
928566651476
1010320441000
114416690091
122000365520
13c861c432c
146dc937932
154060a86a0
hex267256ea8

10320441000 has 64 divisors (see below), whose sum is σ = 32199785280. Its totient is φ = 2752116800.

The previous prime is 10320440983. The next prime is 10320441017. The reversal of 10320441000 is 14402301.

10320441000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10320440983) and next prime (10320441017).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 1717074 + ... + 1723073.

It is an arithmetic number, because the mean of its divisors is an integer number (503121645).

Almost surely, 210320441000 is an apocalyptic number.

10320441000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10320441000 is an abundant number, since it is smaller than the sum of its proper divisors (21879344280).

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

10320441000 is a wasteful number, since it uses less digits than its factorization.

10320441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440171 (or 3440157 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10320441000 its reverse (14402301), we get a palindrome (10334843301).

The spelling of 10320441000 in words is "ten billion, three hundred twenty million, four hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 3440147 6880294 10320441 13760588 17200735 20640882 27521176 34401470 41281764 51602205 68802940 82563528 86003675 103204410 137605880 172007350 206408820 258011025 344014700 412817640 430018375 516022050 688029400 860036750 1032044100 1290055125 1720073500 2064088200 2580110250 3440147000 5160220500 10320441000