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114227311401 = 3471571283179
BaseRepresentation
bin110101001100001111…
…0100111001100101001
3101220211200211122110000
41222120132213030221
53332414142431101
6124250355413213
711152442061330
oct1523036471451
9356750748400
10114227311401
11444973807a5
121a17a5b4209
13aa05248bb8
1457587c8d17
152e882be486
hex1a987a7329

114227311401 has 40 divisors (see below), whose sum is σ = 196254681920. Its totient is φ = 64856948832.

The previous prime is 114227311397. The next prime is 114227311409. The reversal of 114227311401 is 104113722411.

It is a happy number.

114227311401 is a `hidden beast` number, since 1 + 1 + 4 + 227 + 31 + 1 + 401 = 666.

It is not a de Polignac number, because 114227311401 - 22 = 114227311397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114227311409) 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 39 ways as a sum of consecutive naturals, for example, 552571 + ... + 730608.

It is an arithmetic number, because the mean of its divisors is an integer number (4906367048).

Almost surely, 2114227311401 is an apocalyptic number.

It is an amenable number.

114227311401 is a deficient number, since it is larger than the sum of its proper divisors (82027370519).

114227311401 is a wasteful number, since it uses less digits than its factorization.

114227311401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283355 (or 1283346 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 114227311401 in words is "one hundred fourteen billion, two hundred twenty-seven million, three hundred eleven thousand, four hundred one".

Divisors: 1 3 7 9 21 27 63 81 157 189 471 567 1099 1413 3297 4239 9891 12717 29673 89019 1283179 3849537 8982253 11548611 26946759 34645833 80840277 103937499 201459103 242520831 604377309 727562493 1410213721 1813131927 4230641163 5439395781 12691923489 16318187343 38075770467 114227311401