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14002010201213 = 1953891133314177
BaseRepresentation
bin1100101111000001100011…
…0110000001110001111101
31211120120122011110202102022
43023300120312001301331
53313402104102414323
645440233520405525
72643416602650356
oct313603066016175
954516564422368
1014002010201213
1145092457aa601
1216a1824a768a5
137a74cb560618
143659b5420d2d
151943576284c8
hexcbc18d81c7d

14002010201213 has 64 divisors (see below), whose sum is σ = 15370133356800. Its totient is φ = 12713085665280.

The previous prime is 14002010201209. The next prime is 14002010201227. The reversal of 14002010201213 is 31210201020041.

14002010201213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 14002010201213 - 22 = 14002010201209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14002010201191 and 14002010201200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14002013201213) 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, 3352166981 + ... + 3352171157.

It is an arithmetic number, because the mean of its divisors is an integer number (240158333700).

Almost surely, 214002010201213 is an apocalyptic number.

It is an amenable number.

14002010201213 is a deficient number, since it is larger than the sum of its proper divisors (1368123155587).

14002010201213 is a wasteful number, since it uses less digits than its factorization.

14002010201213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4782.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 14002010201213 its reverse (31210201020041), we get a palindrome (45212211221254).

The spelling of 14002010201213 in words is "fourteen trillion, two billion, ten million, two hundred one thousand, two hundred thirteen".

Divisors: 1 19 53 89 113 331 1007 1691 2147 4177 4717 5989 6289 10057 17543 29459 37403 79363 89623 113791 191083 221381 333317 371753 472001 533021 559721 710657 1382587 1561327 1982359 3328867 4206239 7063307 8968019 10127399 19702909 25016053 26269153 29665213 37664821 42008089 63248473 73277111 123050243 156232331 176429951 374355271 475305007 798153691 1392265109 2226428717 2337954617 2968414289 3352169069 6521662879 8280313543 13904677459 42302145623 123911594701 157325957317 264188871721 736947905327 14002010201213