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10109239481250 = 232557134674229
BaseRepresentation
bin1001001100011011110110…
…1000001101001110100010
31022210102201021120212121100
42103012331220031032202
52311112210301400000
633300042010135230
72062240243536030
oct223067550151642
938712637525540
1010109239481250
11324833915a138
1211732a3a21516
135843b2c16c20
1426d40b303550
15127e703b1a00
hex931bda0d3a2

10109239481250 has 576 divisors, whose sum is σ = 33775445733120. Its totient is φ = 2127867840000.

The previous prime is 10109239481213. The next prime is 10109239481267. The reversal of 10109239481250 is 5218493290101.

10109239481250 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 9 + 2 + 394 + 8 + 1 + 250 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 10109239481196 and 10109239481205.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2390454136 + ... + 2390458364.

It is an arithmetic number, because the mean of its divisors is an integer number (58637926620).

Almost surely, 210109239481250 is an apocalyptic number.

10109239481250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10109239481250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16887722866560).

10109239481250 is an abundant number, since it is smaller than the sum of its proper divisors (23666206251870).

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

10109239481250 is a wasteful number, since it uses less digits than its factorization.

10109239481250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4749 (or 4726 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 10109239481250 in words is "ten trillion, one hundred nine billion, two hundred thirty-nine million, four hundred eighty-one thousand, two hundred fifty".