Search a number
-
+
103731820080 = 2435728820733
BaseRepresentation
bin110000010011011100…
…1011111011000110000
3100220202020201110000020
41200212321133120300
53144420321220310
6115353112523440
710331366631300
oct1404671373060
9326666643006
10103731820080
113aaa09a9829
121812b6b0580
139a219c48c5
145040925600
152a71b89170
hex1826e5f630

103731820080 has 120 divisors (see below), whose sum is σ = 374069687472. Its totient is φ = 23710127616.

The previous prime is 103731820069. The next prime is 103731820091. The reversal of 103731820080 is 80028137301.

It is an interprime number because it is at equal distance from previous prime (103731820069) and next prime (103731820091).

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4398607 + ... + 4422126.

Almost surely, 2103731820080 is an apocalyptic number.

103731820080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103731820080 is an abundant number, since it is smaller than the sum of its proper divisors (270337867392).

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

103731820080 is a wasteful number, since it uses less digits than its factorization.

103731820080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8820763 (or 8820750 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

Adding to 103731820080 its reverse (80028137301), we get a palindrome (183759957381).

The spelling of 103731820080 in words is "one hundred three billion, seven hundred thirty-one million, eight hundred twenty thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 11760 8820733 17641466 26462199 35282932 44103665 52924398 61745131 70565864 88207330 105848796 123490262 132310995 141131728 176414660 185235393 211697592 246980524 264621990 308725655 352829320 370470786 423395184 432215917 493961048 529243980 617451310 705658640 740941572 864431834 926176965 987922096 1058487960 1234902620 1296647751 1481883144 1728863668 1852353930 2116975920 2161079585 2469805240 2593295502 2963766288 3457727336 3704707860 4322159170 4939610480 5186591004 6483238755 6915454672 7409415720 8644318340 10373182008 12966477510 14818831440 17288636680 20746364016 25932955020 34577273360 51865910040 103731820080