Search a number
-
+
103404311142 = 231183110917021
BaseRepresentation
bin110000001001101100…
…0001001001001100110
3100212220102110021012120
41200103120021021212
53143233000424032
6115300413130410
710320312066606
oct1402330111146
9325812407176
10103404311142
113a943046490
1218059a89a06
13999bbb4932
14500d230c06
152a5304462c
hex1813609266

103404311142 has 64 divisors (see below), whose sum is σ = 228546904320. Its totient is φ = 30927382400.

The previous prime is 103404311123. The next prime is 103404311159. The reversal of 103404311142 is 241113404301.

103404311142 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6066592 + ... + 6083612.

It is an arithmetic number, because the mean of its divisors is an integer number (3571045380).

Almost surely, 2103404311142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103404311142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114273452160).

103404311142 is an abundant number, since it is smaller than the sum of its proper divisors (125142593178).

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

103404311142 is a wasteful number, since it uses less digits than its factorization.

103404311142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18229.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 103404311142 its reverse (241113404301), we get a palindrome (344517715443).

The spelling of 103404311142 in words is "one hundred three billion, four hundred four million, three hundred eleven thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 83 166 249 498 913 1109 1826 2218 2739 3327 5478 6654 12199 17021 24398 34042 36597 51063 73194 92047 102126 184094 187231 276141 374462 552282 561693 1012517 1123386 1412743 2025034 2825486 3037551 4238229 6075102 8476458 15540173 18876289 31080346 37752578 46620519 56628867 93241038 113257734 207639179 415278358 622917537 1245835074 1566731987 3133463974 4700195961 9400391922 17234051857 34468103714 51702155571 103404311142