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2141112314022 = 23113110143323929
BaseRepresentation
bin11111001010000100001…
…111010010100010100110
321120200120210120010200220
4133022010033102202212
5240034444223022042
64315340255345210
7310455521245263
oct37120417224246
97520523503626
102141112314022
1175604a09aa10
122a6b66222206
13126ba16c8c36
14758b7b0426a
153aa666b88ec
hex1f2843d28a6

2141112314022 has 128 divisors (see below), whose sum is σ = 4881407569920. Its totient is φ = 620213760000.

The previous prime is 2141112313993. The next prime is 2141112314041. The reversal of 2141112314022 is 2204132111412.

It is a junction number, because it is equal to n+sod(n) for n = 2141112313983 and 2141112314001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89465754 + ... + 89489682.

It is an arithmetic number, because the mean of its divisors is an integer number (38135996640).

Almost surely, 22141112314022 is an apocalyptic number.

2141112314022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141112314022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2440703784960).

2141112314022 is an abundant number, since it is smaller than the sum of its proper divisors (2740295255898).

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

2141112314022 is a wasteful number, since it uses less digits than its factorization.

2141112314022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24510.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 2141112314022 its reverse (2204132111412), we get a palindrome (4345244425434).

The spelling of 2141112314022 in words is "two trillion, one hundred forty-one billion, one hundred twelve million, three hundred fourteen thousand, twenty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 101 186 202 303 341 433 606 682 866 1023 1111 1299 2046 2222 2598 3131 3333 4763 6262 6666 9393 9526 13423 14289 18786 23929 26846 28578 34441 40269 43733 47858 68882 71787 80538 87466 103323 131199 143574 147653 206646 262398 263219 295306 442959 481063 526438 741799 789657 885918 962126 1355723 1443189 1483598 1579314 2225397 2416829 2711446 2886378 4067169 4450794 4833658 7250487 8134338 8159789 10361257 14500974 14912953 16319578 20722514 24479367 26585119 29825906 31083771 44738859 48958734 53170238 62167542 74921699 79755357 89477718 113973827 149843398 159510714 224765097 227947654 321198967 341921481 449530194 642397934 683842962 824138689 963596901 1046486957 1648277378 1927193802 2092973914 2472416067 3139460871 3533188637 4944832134 6278921742 7066377274 10599565911 11511356527 21199131822 23022713054 32441095667 34534069581 64882191334 69068139162 97323287001 194646574002 356852052337 713704104674 1070556157011 2141112314022