Search a number
-
+
102101111201320 = 235711173891906361
BaseRepresentation
bin10111001101110001000100…
…011101101101111000101000
3111101111202210222201121010221
4113031301010131231320220
5101340311033431420240
61001052334123415424
730335363500523650
oct2715610435557050
9441452728647127
10102101111201320
112a594924559060
12b54ba67684574
1344c812a49000a
141b2da12139360
15bc0d3e331a4a
hex5cdc4476de28

102101111201320 has 128 divisors (see below), whose sum is σ = 286430127955200. Its totient is φ = 31821876172800.

The previous prime is 102101111201317. The next prime is 102101111201387. The reversal of 102101111201320 is 23102111101201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102101111201294 and 102101111201303.

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, 52604940 + ... + 54511300.

It is an arithmetic number, because the mean of its divisors is an integer number (2237735374650).

Almost surely, 2102101111201320 is an apocalyptic number.

102101111201320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101111201320 is an abundant number, since it is smaller than the sum of its proper divisors (184329016753880).

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

102101111201320 is a wasteful number, since it uses less digits than its factorization.

102101111201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923779 (or 1923775 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 102101111201320 its reverse (23102111101201), we get a palindrome (125203222302521).

The spelling of 102101111201320 in words is "one hundred two trillion, one hundred one billion, one hundred eleven million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 17389 34778 69556 86945 121723 139112 173890 191279 243446 347780 382558 486892 608615 695560 765116 956395 973784 1217230 1338953 1530232 1906361 1912790 2434460 2677906 3812722 3825580 4868920 5355812 6694765 7625444 7651160 9531805 10711624 13344527 13389530 15250888 19063610 20969971 26689054 26779060 38127220 41939942 53378108 53558120 66722635 76254440 83879884 104849855 106756216 133445270 146789797 167759768 209699710 266890540 293579594 419399420 533781080 587159188 733948985 838798840 1174318376 1467897970 2935795940 5871591880 33149711429 66299422858 132598845716 165748557145 232047980003 265197691432 331497114290 364646825719 464095960006 662994228580 729293651438 928191920012 1160239900015 1325988457160 1458587302876 1823234128595 1856383840024 2320479800030 2552527780033 2917174605752 3646468257190 4640959600060 5105055560066 7292936514380 9281919200120 10210111120132 12762638900165 14585873028760 20420222240264 25525277800330 51050555600660 102101111201320