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14101152252201 = 3274325120738239
BaseRepresentation
bin1100110100110010111000…
…1010111100000100101001
31211221001112112201202212200
43031030232022330010221
53322013124434032301
645553551354530413
72653526461326660
oct315145612740451
954831475652780
1014101152252201
1145472a0914933
1216b8a93436a09
137b396b3aa911
1436a6dc54ddd7
15196c0b390c86
hexcd32e2bc129

14101152252201 has 48 divisors (see below), whose sum is σ = 23914342932480. Its totient is φ = 7839053964000.

The previous prime is 14101152252181. The next prime is 14101152252227. The reversal of 14101152252201 is 10225225110141.

14101152252201 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 115 + 22 + 522 + 0 + 1 = 666.

It is not a de Polignac number, because 14101152252201 - 26 = 14101152252137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14101152252001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9689161 + ... + 11049078.

It is an arithmetic number, because the mean of its divisors is an integer number (498215477760).

Almost surely, 214101152252201 is an apocalyptic number.

It is an amenable number.

14101152252201 is a deficient number, since it is larger than the sum of its proper divisors (9813190680279).

14101152252201 is a wasteful number, since it uses less digits than its factorization.

14101152252201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20738546 (or 20738543 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 14101152252201 its reverse (10225225110141), we get a palindrome (24326377362342).

The spelling of 14101152252201 in words is "fourteen trillion, one hundred one billion, one hundred fifty-two million, two hundred fifty-two thousand, two hundred one".

Divisors: 1 3 7 9 21 43 63 129 251 301 387 753 903 1757 2259 2709 5271 10793 15813 32379 75551 97137 226653 679959 20738239 62214717 145167673 186644151 435503019 891744277 1306509057 2675232831 5205297989 6242209939 8025698493 15615893967 18726629817 36437085923 46847681901 56179889451 109311257769 223827813527 327933773307 671483440581 1566794694689 2014450321743 4700384084067 14101152252201