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113323111132032 = 273298370756191
BaseRepresentation
bin11001110001000100010111…
…110010001010101110000000
3112212020120202110102020101100
4121301010113302022232000
5104323141212422211112
61041003530224134400
732604216223214064
oct3161042762125600
9485216673366340
10113323111132032
11331210749a778a
1210862940767400
134b30428a2c7c9
141ddac21515aa4
15d17bda5782dc
hex671117c8ab80

113323111132032 has 48 divisors (see below), whose sum is σ = 326099056776480. Its totient is φ = 37774370376960.

The previous prime is 113323111132009. The next prime is 113323111132039. The reversal of 113323111132032 is 230231111323311.

113323111132032 is a `hidden beast` number, since 1 + 1 + 3 + 32 + 311 + 113 + 203 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 113323111131987 and 113323111132005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113323111132039) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49185376944 + ... + 49185379247.

It is an arithmetic number, because the mean of its divisors is an integer number (6793730349510).

Almost surely, 2113323111132032 is an apocalyptic number.

113323111132032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113323111132032 is an abundant number, since it is smaller than the sum of its proper divisors (212775945644448).

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

113323111132032 is an equidigital number, since it uses as much as digits as its factorization.

113323111132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98370756211 (or 98370756196 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 113323111132032 its reverse (230231111323311), we get a palindrome (343554222455343).

The spelling of 113323111132032 in words is "one hundred thirteen trillion, three hundred twenty-three billion, one hundred eleven million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 98370756191 196741512382 295112268573 393483024764 590224537146 786966049528 885336805719 1180449074292 1573932099056 1770673611438 2360898148584 3147864198112 3541347222876 4721796297168 6295728396224 7082694445752 9443592594336 12591456792448 14165388891504 18887185188672 28330777783008 37774370377344 56661555566016 113323111132032