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10120130032320 = 26325711139569577
BaseRepresentation
bin1001001101000100011011…
…0000010111001011000000
31022211110211021002012010200
42103101012300113023000
52311302011242013240
633305042404325200
72063104153643550
oct223210660271300
938743737065120
1010120130032320
113251a17632370
1211754230a3800
1358542a26cc99
1426db61843160
151283ab531930
hex93446c172c0

10120130032320 has 1344 divisors, whose sum is σ = 43863197414400. Its totient is φ = 2080474398720.

The previous prime is 10120130032267. The next prime is 10120130032381. The reversal of 10120130032320 is 2323003102101.

10120130032320 is a `hidden beast` number, since 1 + 0 + 1 + 20 + 1 + 300 + 323 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10120130032293 and 10120130032302.

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 191 ways as a sum of consecutive naturals, for example, 17539219872 + ... + 17539220448.

It is an arithmetic number, because the mean of its divisors is an integer number (32636307600).

Almost surely, 210120130032320 is an apocalyptic number.

10120130032320 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 10120130032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21931598707200).

10120130032320 is an abundant number, since it is smaller than the sum of its proper divisors (33743067382080).

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

10120130032320 is a wasteful number, since it uses less digits than its factorization.

10120130032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10120130032320 its reverse (2323003102101), we get a palindrome (12443133134421).

The spelling of 10120130032320 in words is "ten trillion, one hundred twenty billion, one hundred thirty million, thirty-two thousand, three hundred twenty".