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14111216222100 = 22352101465716707
BaseRepresentation
bin1100110101011000011000…
…0001111011111110010100
31211222000111220212102012120
43031112012001323332110
53322144232323101400
650002334144415540
72654334043552044
oct315260601737624
954860456772176
1014111216222100
114550595751428
1216baa219175b0
137b48b3404caa
1436adb4da5724
151970e9b87ca0
hexcd58607bf94

14111216222100 has 72 divisors (see below), whose sum is σ = 41232694459488. Its totient is φ = 3725733648000.

The previous prime is 14111216222039. The next prime is 14111216222101. The reversal of 14111216222100 is 122261211141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14111216222101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232828054 + ... + 232888653.

Almost surely, 214111216222100 is an apocalyptic number.

14111216222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14111216222100 is an abundant number, since it is smaller than the sum of its proper divisors (27121478237388).

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

14111216222100 is a wasteful number, since it uses less digits than its factorization.

14111216222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465716825 (or 465716818 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 14111216222100 its reverse (122261211141), we get a palindrome (14233477433241).

The spelling of 14111216222100 in words is "fourteen trillion, one hundred eleven billion, two hundred sixteen million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 1010 1212 1515 2020 2525 3030 5050 6060 7575 10100 15150 30300 465716707 931433414 1397150121 1862866828 2328583535 2794300242 4657167070 5588600484 6985750605 9314334140 11642917675 13971501210 23285835350 27943002420 34928753025 46571670700 47037387407 69857506050 94074774814 139715012100 141112162221 188149549628 235186937035 282224324442 470373874070 564448648884 705560811105 940747748140 1175934685175 1411121622210 2351869370350 2822243244420 3527804055525 4703738740700 7055608111050 14111216222100