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1014021014201 = 131729672361467
BaseRepresentation
bin11101100000110000101…
…11001100001010111001
310120221100212102202010022
432300120113030022321
5113103203334423301
62053500153300225
7133155246256316
oct16603027141271
93527325382108
101014021014201
11361053477438
12144635704675
1374811054650
143711662dd0d
151b59c64ad1b
hexec185cc2b9

1014021014201 has 32 divisors (see below), whose sum is σ = 1213983469440. Its totient is φ = 837885920256.

The previous prime is 1014021014189. The next prime is 1014021014203. The reversal of 1014021014201 is 1024101204101.

It is a cyclic number.

It is not a de Polignac number, because 1014021014201 - 210 = 1014021013177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1014021014201.

It is not an unprimeable number, because it can be changed into a prime (1014021014203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 751331 + ... + 1610136.

It is an arithmetic number, because the mean of its divisors is an integer number (37936983420).

Almost surely, 21014021014201 is an apocalyptic number.

It is an amenable number.

1014021014201 is a deficient number, since it is larger than the sum of its proper divisors (199962455239).

1014021014201 is a wasteful number, since it uses less digits than its factorization.

1014021014201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361593.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 1014021014201 its reverse (1024101204101), we get a palindrome (2038122218302).

The spelling of 1014021014201 in words is "one trillion, fourteen billion, twenty-one million, fourteen thousand, two hundred one".

Divisors: 1 13 17 29 67 221 377 493 871 1139 1943 6409 14807 25259 33031 429403 2361467 30699071 40144939 68482543 158218289 521884207 890273059 1164203231 2056837757 2689710913 4588330381 15134642003 34966241869 59648294953 78001616477 1014021014201