Search a number
-
+
103431014340 = 22353756598233
BaseRepresentation
bin110000001010011111…
…0000000011111000100
3100212222021200221002220
41200110332000133010
53143311314424330
6115303205332340
710321055054523
oct1402476003704
9325867627086
10103431014340
113a957124a45
1218066a070b0
1399a45a4144
1450129c24ba
152a5556b710
hex1814f807c4

103431014340 has 96 divisors (see below), whose sum is σ = 297522744960. Its totient is φ = 26828153856.

The previous prime is 103431014243. The next prime is 103431014341. The reversal of 103431014340 is 43410134301.

It is a self number, because there is not a number n which added to its sum of digits gives 103431014340.

It is not an unprimeable number, because it can be changed into a prime (103431014341) 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, 12558864 + ... + 12567096.

It is an arithmetic number, because the mean of its divisors is an integer number (3099195260).

Almost surely, 2103431014340 is an apocalyptic number.

103431014340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103431014340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148761372480).

103431014340 is an abundant number, since it is smaller than the sum of its proper divisors (194091730620).

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

103431014340 is a wasteful number, since it uses less digits than its factorization.

103431014340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13941 (or 13939 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 103431014340 its reverse (43410134301), we get a palindrome (146841148641).

The spelling of 103431014340 in words is "one hundred three billion, four hundred thirty-one million, fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 5659 8233 11318 16466 16977 22636 24699 28295 32932 33954 41165 49398 56590 67908 82330 84885 98796 113180 123495 164660 169770 209383 246990 304621 339540 418766 493980 609242 628149 837532 913863 1046915 1218484 1256298 1523105 1827726 2093830 2512596 3046210 3140745 3655452 4187660 4569315 6092420 6281490 9138630 12562980 18277260 46590547 93181094 139771641 186362188 232952735 279543282 465905470 559086564 698858205 931810940 1397716410 1723850239 2795432820 3447700478 5171550717 6895400956 8619251195 10343101434 17238502390 20686202868 25857753585 34477004780 51715507170 103431014340