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114331100301114 = 23178378717159767
BaseRepresentation
bin11001111111101111001000…
…100111101100011100111010
3112222210221112221212111112120
4121333233020213230130322
5104441200043134113424
61043054552110222110
733040102150613214
oct3177571047543472
9488727487774476
10114331100301114
113347a602572654
12109a61721b4936
134ba44b8218618
142033924a075b4
15d3403339aa79
hex67fbc89ec73a

114331100301114 has 64 divisors (see below), whose sum is σ = 245341302506496. Its totient is φ = 35391399623424.

The previous prime is 114331100301059. The next prime is 114331100301157. The reversal of 114331100301114 is 411103001133411.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1917142 + ... + 15242625.

It is an arithmetic number, because the mean of its divisors is an integer number (3833457851664).

Almost surely, 2114331100301114 is an apocalyptic number.

114331100301114 is an abundant number, since it is smaller than the sum of its proper divisors (131010202205382).

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

114331100301114 is a wasteful number, since it uses less digits than its factorization.

114331100301114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17160659.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 114331100301114 its reverse (411103001133411), we get a palindrome (525434101434525).

The spelling of 114331100301114 in words is "one hundred fourteen trillion, three hundred thirty-one billion, one hundred million, three hundred one thousand, one hundred fourteen".

Divisors: 1 2 3 6 17 34 51 83 102 166 249 498 787 1411 1574 2361 2822 4233 4722 8466 13379 26758 40137 65321 80274 130642 195963 391926 1110457 2220914 3331371 6662742 17159767 34319534 51479301 102958602 291716039 583432078 875148117 1424260661 1750296234 2848521322 4272781983 8545563966 13504736629 24212431237 27009473258 40514209887 48424862474 72637293711 81028419774 145274587422 229580522693 459161045386 688741568079 1120893140207 1377483136158 2241786280414 3362679420621 6725358841242 19055183383519 38110366767038 57165550150557 114331100301114