Search a number
-
+
102141012420 = 22335189150023
BaseRepresentation
bin101111100100000010…
…1000010100111000100
3100202122101100001011000
41133020011002213010
53133141044344140
6114531204213300
710244102165136
oct1371005024704
9322571301130
10102141012420
113a354a36457
121796699a230
13982a259bb5
144d2d545056
1529cc1a3a30
hex17c81429c4

102141012420 has 48 divisors (see below), whose sum is σ = 317772040320. Its totient is φ = 27237603168.

The previous prime is 102141012403. The next prime is 102141012427. The reversal of 102141012420 is 24210141201.

102141012420 is a `hidden beast` number, since 10 + 2 + 1 + 410 + 1 + 242 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102141012393 and 102141012402.

It is not an unprimeable number, because it can be changed into a prime (102141012427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94574472 + ... + 94575551.

It is an arithmetic number, because the mean of its divisors is an integer number (6620250840).

Almost surely, 2102141012420 is an apocalyptic number.

102141012420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102141012420 is an abundant number, since it is smaller than the sum of its proper divisors (215631027900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102141012420 is a wasteful number, since it uses less digits than its factorization.

102141012420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189150041 (or 189150033 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102141012420 its reverse (24210141201), we get a palindrome (126351153621).

The spelling of 102141012420 in words is "one hundred two billion, one hundred forty-one million, twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 189150023 378300046 567450069 756600092 945750115 1134900138 1702350207 1891500230 2269800276 2837250345 3404700414 3783000460 5107050621 5674500690 6809400828 8511751035 10214101242 11349001380 17023502070 20428202484 25535253105 34047004140 51070506210 102141012420