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214100443340113 = 111723732213308137
BaseRepresentation
bin110000101011100100100100…
…110111110001110101010001
31001002001210200000102100212211
4300223210210313301311101
5211030310201443340423
62035204215201552121
763045150401204431
oct6053444467616521
91032053600370784
10214100443340113
1162245540751020
122001a125345641
13926077b829a95
143ac2733d5a2c1
1519b439d09c10d
hexc2b924df1d51

214100443340113 has 64 divisors (see below), whose sum is σ = 261709560755712. Its totient is φ = 172743901102080.

The previous prime is 214100443340071. The next prime is 214100443340117. The reversal of 214100443340113 is 311043344001412.

214100443340113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-214100443340113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214100443340117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 694668181 + ... + 694976317.

It is an arithmetic number, because the mean of its divisors is an integer number (4089211886808).

Almost surely, 2214100443340113 is an apocalyptic number.

214100443340113 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

214100443340113 is a deficient number, since it is larger than the sum of its proper divisors (47609117415599).

214100443340113 is a wasteful number, since it uses less digits than its factorization.

214100443340113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310474.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 214100443340113 its reverse (311043344001412), we get a palindrome (525143787341525).

The spelling of 214100443340113 in words is "two hundred fourteen trillion, one hundred billion, four hundred forty-three million, three hundred forty thousand, one hundred thirteen".

Divisors: 1 11 17 23 73 187 253 391 803 1241 1679 2213 4301 13651 18469 24343 28543 37621 50899 161549 308137 313973 413831 559889 865283 1777039 2746333 3389507 3715627 5238329 7087151 9518113 22494001 30209663 40871897 57621619 63165659 77958661 120481567 247434011 382398017 517362023 681907181 694822249 1325297237 4206378187 5690982253 7500978991 8795154391 11592422077 15683865163 49779224213 96746698301 127516642847 172522516793 266625707771 547571466343 846246811621 1144922156899 2932882785481 9308714927831 12594143725889 19463676667283 214100443340113