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12140031140401 = 232611792101751
BaseRepresentation
bin1011000010101001001000…
…1111100110001000110001
31120222120112122101002010211
42300222102033212020301
53042400240432443101
641453015303224121
72362042201040113
oct260522217461061
946876478332124
1012140031140401
1139606160a820a
12144099ba48041
136a0a52865948
142dd81b3d53b3
15160bcb743c51
hexb0a923e6231

12140031140401 has 24 divisors (see below), whose sum is σ = 12970920432960. Its totient is φ = 11358025140000.

The previous prime is 12140031140383. The next prime is 12140031140513. The reversal of 12140031140401 is 10404113004121.

It is not a de Polignac number, because 12140031140401 - 211 = 12140031138353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12140031140101) 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 23 ways as a sum of consecutive naturals, for example, 4725276 + ... + 6827026.

It is an arithmetic number, because the mean of its divisors is an integer number (540455018040).

Almost surely, 212140031140401 is an apocalyptic number.

It is an amenable number.

12140031140401 is a deficient number, since it is larger than the sum of its proper divisors (830889292559).

12140031140401 is a wasteful number, since it uses less digits than its factorization.

12140031140401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102037 (or 2102014 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 12140031140401 its reverse (10404113004121), we get a palindrome (22544144144522).

The spelling of 12140031140401 in words is "twelve trillion, one hundred forty billion, thirty-one million, one hundred forty thousand, four hundred one".

Divisors: 1 23 61 179 529 1403 4117 10919 32269 94691 251137 2101751 5776151 48340273 128206811 376213429 1111826279 2948756653 8652908867 22949019169 67821403019 199016903941 527827440887 12140031140401