Search a number
-
+
111020121022110 = 23523242201664319
BaseRepresentation
bin11001001111100011100010…
…111000000101111010011110
3112120002102100010020000222020
4121033203202320011322132
5104022423201440201420
61032041534533401010
732245640044241616
oct3117434270057236
9476072303200866
10111020121022110
1132413407034883
1210550539a99166
1349c41ca038b31
141d5b58c773a46
15cc7d4c64d340
hex64f8e2e05e9e

111020121022110 has 64 divisors (see below), whose sum is σ = 278034565201920. Its totient is φ = 28318016249600.

The previous prime is 111020121022079. The next prime is 111020121022117. The reversal of 111020121022110 is 11220121020111.

It is a happy number.

It is a super-2 number, since 2×1110201210221102 (a number of 29 digits) contains 22 as substring.

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 111020121022110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111020121022117) 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, 166786531 + ... + 167450849.

It is an arithmetic number, because the mean of its divisors is an integer number (4344290081280).

Almost surely, 2111020121022110 is an apocalyptic number.

111020121022110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

111020121022110 is an abundant number, since it is smaller than the sum of its proper divisors (167014444179810).

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

111020121022110 is a wasteful number, since it uses less digits than its factorization.

111020121022110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906553.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 111020121022110 its reverse (11220121020111), we get a palindrome (122240242042221).

The spelling of 111020121022110 in words is "one hundred eleven trillion, twenty billion, one hundred twenty-one million, twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 242201 484402 664319 726603 1211005 1328638 1453206 1992957 2422010 3321595 3633015 3985914 5570623 6643190 7266030 9964785 11141246 15279337 16711869 19929570 27853115 30558674 33423738 45838011 55706230 76396685 83559345 91676022 152793370 167118690 229190055 458380110 160898726119 321797452238 482696178357 804493630595 965392356714 1608987261190 2413480891785 3700670700737 4826961783570 7401341401474 11102012102211 18503353503685 22204024204422 37006707007370 55510060511055 111020121022110