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110003100012000 = 253253132231054033
BaseRepresentation
bin11001000000110000010111…
…101100110100110111100000
3112102111012020011202201010100
4121000300113230310313200
5103404242322100341000
61025542420531502400
732112314236264446
oct3100602754646740
9472435204681110
10110003100012000
1132061064200088
1210407407757a00
13494c32b601aa0
141d2426d93cb96
15cab67695ea00
hex640c17b34de0

110003100012000 has 576 divisors, whose sum is σ = 422317593524736. Its totient is φ = 26956235980800.

The previous prime is 110003100011993. The next prime is 110003100012007. The reversal of 110003100012000 is 210001300011.

It is an interprime number because it is at equal distance from previous prime (110003100011993) and next prime (110003100012007).

It is a super-3 number, since 3×1100031000120003 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110003100012007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103836984 + ... + 104891016.

It is an arithmetic number, because the mean of its divisors is an integer number (733190266536).

Almost surely, 2110003100012000 is an apocalyptic number.

110003100012000 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 110003100012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211158796762368).

110003100012000 is an abundant number, since it is smaller than the sum of its proper divisors (312314493512736).

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

110003100012000 is a wasteful number, since it uses less digits than its factorization.

110003100012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054300 (or 1054279 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 110003100012000 its reverse (210001300011), we get a palindrome (110213101312011).

The spelling of 110003100012000 in words is "one hundred ten trillion, three billion, one hundred million, twelve thousand".