Search a number
-
+
10113700389804 = 2232111912251109721
BaseRepresentation
bin1001001100101100011110…
…0001001110001110101100
31022210212020011120111201200
42103023013201032032230
52311200324244433204
633302100403005500
72062455631614234
oct223130741161654
938725204514650
1010113700389804
11324a21822a820
121174129969890
1358494418459b
1426d711954cc4
15128131d2c539
hex932c784e3ac

10113700389804 has 144 divisors (see below), whose sum is σ = 29359816536960. Its totient is φ = 2903191200000.

The previous prime is 10113700389799. The next prime is 10113700389811. The reversal of 10113700389804 is 40898300731101.

10113700389804 is a `hidden beast` number, since 10 + 113 + 70 + 0 + 389 + 80 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10113700389804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92121664 + ... + 92231384.

It is an arithmetic number, because the mean of its divisors is an integer number (203887614840).

Almost surely, 210113700389804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10113700389804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14679908268480).

10113700389804 is an abundant number, since it is smaller than the sum of its proper divisors (19246116147156).

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

10113700389804 is a wasteful number, since it uses less digits than its factorization.

10113700389804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122012 (or 122007 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 10113700389804 in words is "ten trillion, one hundred thirteen billion, seven hundred million, three hundred eighty-nine thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 7524 12251 24502 36753 49004 73506 109721 110259 134761 147012 219442 220518 232769 269522 329163 404283 438884 441036 465538 539044 658326 698307 808566 931076 987489 1206931 1212849 1316652 1396614 1617132 1974978 2084699 2094921 2413862 2425698 2560459 2793228 3620793 3949956 4169398 4189842 4827724 4851396 5120918 6254097 7241586 7681377 8338796 8379684 10241836 10862379 12508194 14483172 15362754 18762291 21724758 22931689 23044131 25016388 30725508 37524582 43449516 45863378 46088262 68795067 75049164 91726756 92176524 137590134 206385201 275180268 412770402 825540804 1344191971 2688383942 4032575913 5376767884 8065151826 12097727739 14786111681 16130303652 24195455478 25539647449 29572223362 44358335043 48390910956 51079294898 59144446724 76618942347 88716670086 102158589796 133075005129 153237884694 177433340172 229856827041 266150010258 280936121939 306475769388 459713654082 532300020516 561872243878 842808365817 919427308164 1123744487756 1685616731634 2528425097451 3371233463268 5056850194902 10113700389804