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10105434200120 = 23572911314717487
BaseRepresentation
bin1001001100001101101011…
…0100001101100000111000
31022210001220002021120020012
42103003122310031200320
52311031412123400440
633254212233521052
72062044036302660
oct223033264154070
938701802246205
1010105434200120
1132467661810a6
121172601573188
13583c27750a9c
1426d169b991a0
15127ceb2a0e65
hex930dad0d838

10105434200120 has 256 divisors, whose sum is σ = 27141400166400. Its totient is φ = 3312946667520.

The previous prime is 10105434200117. The next prime is 10105434200123. The reversal of 10105434200120 is 2100243450101.

It is an interprime number because it is at equal distance from previous prime (10105434200117) and next prime (10105434200123).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105434200123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1349727017 + ... + 1349734503.

It is an arithmetic number, because the mean of its divisors is an integer number (106021094400).

Almost surely, 210105434200120 is an apocalyptic number.

10105434200120 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 10105434200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13570700083200).

10105434200120 is an abundant number, since it is smaller than the sum of its proper divisors (17035965966280).

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

10105434200120 is a wasteful number, since it uses less digits than its factorization.

10105434200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9118 (or 9114 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 10105434200120 its reverse (2100243450101), we get a palindrome (12205677650221).

The spelling of 10105434200120 in words is "ten trillion, one hundred five billion, four hundred thirty-four million, two hundred thousand, one hundred twenty".