Search a number
-
+
114312034022301 = 331914871097913649
BaseRepresentation
bin11001111111011101011000…
…001011100111001110011101
3112222202010100012022011222000
4121333131120023213032131
5104440342021202203201
61043042120133512513
733035525524122423
oct3177353013471635
9488663305264860
10114312034022301
1133472509108135
12109a2530aa2739
134ba276a11303b
142032a36739113
15d337b95bcd86
hex67f7582e739d

114312034022301 has 64 divisors (see below), whose sum is σ = 178413580800000. Its totient is φ = 72136664937216.

The previous prime is 114312034022297. The next prime is 114312034022359. The reversal of 114312034022301 is 103220430213411.

114312034022301 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 1 + 20 + 3 + 402 + 230 + 1 = 666.

It is not a de Polignac number, because 114312034022301 - 22 = 114312034022297 is a prime.

It is a super-2 number, since 2×1143120340223012 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114312034022201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8375114725 + ... + 8375128373.

It is an arithmetic number, because the mean of its divisors is an integer number (2787712200000).

Almost surely, 2114312034022301 is an apocalyptic number.

It is an amenable number.

114312034022301 is a deficient number, since it is larger than the sum of its proper divisors (64101546777699).

114312034022301 is a wasteful number, since it uses less digits than its factorization.

114312034022301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26143 (or 26137 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 114312034022301 its reverse (103220430213411), we get a palindrome (217532464235712).

The spelling of 114312034022301 in words is "one hundred fourteen trillion, three hundred twelve billion, thirty-four million, twenty-two thousand, three hundred one".

Divisors: 1 3 9 19 27 57 171 513 1487 4461 10979 13383 13649 28253 32937 40149 40947 84759 98811 122841 208601 254277 259331 296433 368523 625803 762831 777993 1877409 2333979 5632227 7001937 16325773 20296063 48977319 60888189 146931957 149852371 182664567 310189687 385625197 440795871 449557113 547993701 930569061 1156875591 1348671339 2791707183 2847195049 3470626773 4046014017 8375121549 8541585147 10411880319 25624755441 76874266323 222830475677 668491427031 2005474281093 4233779037863 6016422843279 12701337113589 38104011340767 114312034022301