Search a number
-
+
114442032020101 = 41127239749912263
BaseRepresentation
bin11010000001010110011100…
…101010100111101010000101
3120000012112212222110201002021
4122001112130222213222011
5110000004240144120401
61043221535502043141
733051110144640442
oct3201263452475205
9500175788421067
10114442032020101
1133512658639a55
1210a03770b794b1
134bb1ab6766426
1420390498429c9
15d36d771882a1
hex68159caa7a85

114442032020101 has 32 divisors (see below), whose sum is σ = 118676275200000. Its totient is φ = 110284439771520.

The previous prime is 114442032020089. The next prime is 114442032020167. The reversal of 114442032020101 is 101020230244411.

It is a cyclic number.

It is not a de Polignac number, because 114442032020101 - 29 = 114442032019589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114442032020501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9332296896 + ... + 9332309158.

It is an arithmetic number, because the mean of its divisors is an integer number (3708633600000).

Almost surely, 2114442032020101 is an apocalyptic number.

It is an amenable number.

114442032020101 is a deficient number, since it is larger than the sum of its proper divisors (4234243179899).

114442032020101 is a wasteful number, since it uses less digits than its factorization.

114442032020101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20169.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 114442032020101 its reverse (101020230244411), we get a palindrome (215462262264512).

The spelling of 114442032020101 in words is "one hundred fourteen trillion, four hundred forty-two billion, thirty-two million, twenty thousand, one hundred one".

Divisors: 1 41 127 239 5207 7499 9799 12263 30353 307459 502783 952373 1244473 1557401 1792261 2930857 39047293 63853441 73482701 91960237 120165137 227617147 372218839 3770369717 9332303027 11678950099 15260972399 21978496643 478836954059 901118362363 2791269073661 114442032020101