Search a number
-
+
110200021122120 = 23357345377277231
BaseRepresentation
bin11001000011100111110001…
…000111001111110001001000
3112110012000111221120120201020
4121003213301013033301020
5103421004120401401440
61030213105114352440
732132455153145226
oct3103476107176110
9473160457516636
10110200021122120
1132127626018796
121043960412b720
134964a81aa7717
141d2d9d0b5db16
15cb184e95a3d0
hex6439f11cfc48

110200021122120 has 128 divisors (see below), whose sum is σ = 335137425661440. Its totient is φ = 28983371857920.

The previous prime is 110200021122001. The next prime is 110200021122127. The reversal of 110200021122120 is 21221120002011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 110200021122120.

It is not an unprimeable number, because it can be changed into a prime (110200021122127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397363905 + ... + 397641135.

It is an arithmetic number, because the mean of its divisors is an integer number (2618261137980).

Almost surely, 2110200021122120 is an apocalyptic number.

110200021122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110200021122120 is an abundant number, since it is smaller than the sum of its proper divisors (224937404539320).

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

110200021122120 is a wasteful number, since it uses less digits than its factorization.

110200021122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322695 (or 322691 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 110200021122120 its reverse (21221120002011), we get a palindrome (131421141124131).

The spelling of 110200021122120 in words is "one hundred ten trillion, two hundred billion, twenty-one million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 8760 45377 90754 136131 181508 226885 272262 277231 363016 453770 544524 554462 680655 831693 907540 1089048 1108924 1361310 1386155 1663386 1815080 2217848 2722620 2772310 3312521 3326772 4158465 5445240 5544620 6625042 6653544 8316930 9937563 11089240 13250084 16562605 16633860 19875126 20237863 26500168 33125210 33267720 39750252 40475726 49687815 60713589 66250420 79500504 80951452 99375630 101189315 121427178 132500840 161902904 198751260 202378630 242854356 303567945 397502520 404757260 485708712 607135890 809514520 1214271780 2428543560 12579911087 25159822174 37739733261 50319644348 62899555435 75479466522 100639288696 125799110870 150958933044 188698666305 251598221740 301917866088 377397332610 503196443480 754794665220 918333509351 1509589330440 1836667018702 2755000528053 3673334037404 4591667546755 5510001056106 7346668074808 9183335093510 11020002112212 13775002640265 18366670187020 22040004224424 27550005280530 36733340374040 55100010561060 110200021122120