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201314100232401 = 31315784919387173
BaseRepresentation
bin101101110001100000010111…
…011011101100000011010001
3222101210102212210001112101020
4231301200113123230003101
5202341312234124414101
61552054230530030053
760255315034065402
oct5561402733540321
9871712783045336
10201314100232401
1159165915373872
121a6b4030a18329
138843ab868a6b0
14379d923ad79a9
151841995ce6136
hexb718176ec0d1

201314100232401 has 32 divisors (see below), whose sum is σ = 290911764675840. Its totient is φ = 123094752378624.

The previous prime is 201314100232367. The next prime is 201314100232423. The reversal of 201314100232401 is 104232001413102.

It is not a de Polignac number, because 201314100232401 - 215 = 201314100199633 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (201314100232481) 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 31 ways as a sum of consecutive naturals, for example, 519765451 + ... + 520152623.

It is an arithmetic number, because the mean of its divisors is an integer number (9090992646120).

Almost surely, 2201314100232401 is an apocalyptic number.

It is an amenable number.

201314100232401 is a deficient number, since it is larger than the sum of its proper divisors (89597664443439).

201314100232401 is a wasteful number, since it uses less digits than its factorization.

201314100232401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472265.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 201314100232401 its reverse (104232001413102), we get a palindrome (305546101645503).

The spelling of 201314100232401 in words is "two hundred one trillion, three hundred fourteen billion, one hundred million, two hundred thirty-two thousand, four hundred one".

Divisors: 1 3 13 39 157 471 2041 6123 84919 254757 387173 1103947 1161519 3311841 5033249 13332283 15099747 39996849 60786161 173319679 182358483 519959037 790220093 2370660279 32878343987 98635031961 427418471831 1282255415493 5161900005959 15485700017877 67104700077467 201314100232401