Search a number
-
+
103321010320 = 24511239675279
BaseRepresentation
bin110000000111001101…
…0011000000010010000
3100212200121201010221221
41200032122120002100
53143100134312240
6115244235454424
710315251045223
oct1401632300220
9325617633857
10103321010320
113a900020330
1218035bb7414
139987869cc8
1450021495ba
152a4aa8ca4a
hex180e698090

103321010320 has 160 divisors (see below), whose sum is σ = 273788190720. Its totient is φ = 35893777920.

The previous prime is 103321010237. The next prime is 103321010321. The reversal of 103321010320 is 23010123301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 103321010294 and 103321010303.

It is not an unprimeable number, because it can be changed into a prime (103321010321) 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, 19569441 + ... + 19574719.

It is an arithmetic number, because the mean of its divisors is an integer number (1711176192).

Almost surely, 2103321010320 is an apocalyptic number.

103321010320 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 103321010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136894095360).

103321010320 is an abundant number, since it is smaller than the sum of its proper divisors (170467180400).

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

103321010320 is a wasteful number, since it uses less digits than its factorization.

103321010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6293 (or 6287 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 103321010320 its reverse (23010123301), we get a palindrome (126331133621).

The spelling of 103321010320 in words is "one hundred three billion, three hundred twenty-one million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 176 184 220 230 253 368 440 460 506 880 920 967 1012 1265 1840 1934 2024 2530 3868 4048 4835 5060 5279 7736 9670 10120 10558 10637 15472 19340 20240 21116 21274 22241 26395 38680 42232 42548 44482 52790 53185 58069 77360 84464 85096 88964 105580 106370 111205 116138 121417 170192 177928 211160 212740 222410 232276 242834 244651 290345 355856 422320 425480 444820 464552 485668 489302 580690 607085 850960 889640 929104 971336 978604 1161380 1214170 1223255 1335587 1779280 1942672 1957208 2322760 2428340 2446510 2671174 3914416 4645520 4856680 4893020 5104793 5342348 6677935 9713360 9786040 10209586 10684696 13355870 19572080 20419172 21369392 25523965 26711740 40838344 51047930 53423480 56152723 81676688 102095860 106846960 112305446 117410239 204191720 224610892 234820478 280763615 408383440 449221784 469640956 561527230 587051195 898443568 939281912 1123054460 1174102390 1291512629 1878563824 2246108920 2348204780 2583025258 4492217840 4696409560 5166050516 6457563145 9392819120 10332101032 12915126290 20664202064 25830252580 51660505160 103321010320