Search a number
-
+
114005451021 = 371129109156131
BaseRepresentation
bin110101000101101000…
…0010010000100001101
3101220021020100222012220
41222023100102010031
53331440343413041
6124212352245553
711144106226140
oct1521320220415
9356236328186
10114005451021
1144393117810
121a1182408b9
13a99b2a9777
145737156057
152e73a97d66
hex1a8b41210d

114005451021 has 64 divisors (see below), whose sum is σ = 197850470400. Its totient is φ = 56656454400.

The previous prime is 114005450987. The next prime is 114005451023. The reversal of 114005451021 is 120154500411.

It is not a de Polignac number, because 114005451021 - 215 = 114005418253 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 114005450982 and 114005451000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114005451023) 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, 652126 + ... + 808256.

It is an arithmetic number, because the mean of its divisors is an integer number (3091413600).

Almost surely, 2114005451021 is an apocalyptic number.

114005451021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114005451021 is a deficient number, since it is larger than the sum of its proper divisors (83845019379).

114005451021 is a wasteful number, since it uses less digits than its factorization.

114005451021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156290.

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 114005451021 its reverse (120154500411), we get a palindrome (234159951432).

The spelling of 114005451021 in words is "one hundred fourteen billion, five million, four hundred fifty-one thousand, twenty-one".

Divisors: 1 3 7 11 21 29 33 77 87 109 203 231 319 327 609 763 957 1199 2233 2289 3161 3597 6699 8393 9483 22127 25179 34771 66381 104313 156131 243397 468393 730191 1092917 1717441 3278751 4527799 5152323 12022087 13583397 17018279 31694593 36066261 49805789 51054837 95083779 119127953 149417367 187201069 348640523 357383859 493530091 561603207 1045921569 1310407483 1480590273 3454710637 3931222449 5428831001 10364131911 16286493003 38001817007 114005451021