Search a number
-
+
2123343311100 = 22352111016370667
BaseRepresentation
bin11110111001100001000…
…111111011000011111100
321111222201110001021002120
4132321201013323003330
5234242101341423400
64303241144122540
7306256266231114
oct36714107730374
97458643037076
102123343311100
11749560a42030
122a3627466450
131252cc2b671b
1474aadc48044
153a37673dca0
hex1ee611fb0fc

2123343311100 has 144 divisors (see below), whose sum is σ = 6768401544576. Its totient is φ = 509653280000.

The previous prime is 2123343311041. The next prime is 2123343311113. The reversal of 2123343311100 is 11133433212.

It is a super-2 number, since 2×21233433111002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 2852034 + ... + 3518633.

It is an arithmetic number, because the mean of its divisors is an integer number (47002788504).

Almost surely, 22123343311100 is an apocalyptic number.

2123343311100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2123343311100 is an abundant number, since it is smaller than the sum of its proper divisors (4645058233476).

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

2123343311100 is a wasteful number, since it uses less digits than its factorization.

2123343311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6370796 (or 6370789 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 2123343311100 its reverse (11133433212), we get a palindrome (2134476744312).

The spelling of 2123343311100 in words is "two trillion, one hundred twenty-three billion, three hundred forty-three million, three hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 101 110 132 150 165 202 220 275 300 303 330 404 505 550 606 660 825 1010 1100 1111 1212 1515 1650 2020 2222 2525 3030 3300 3333 4444 5050 5555 6060 6666 7575 10100 11110 13332 15150 16665 22220 27775 30300 33330 55550 66660 83325 111100 166650 333300 6370667 12741334 19112001 25482668 31853335 38224002 63706670 70077337 76448004 95560005 127413340 140154674 159266675 191120010 210232011 280309348 318533350 350386685 382240020 420464022 477800025 637066700 643437367 700773370 840928044 955600050 1051160055 1286874734 1401546740 1751933425 1911200100 1930312101 2102320110 2573749468 3217186835 3503866850 3860624202 4204640220 5255800275 6434373670 7007733700 7077811037 7721248404 9651560505 10511600550 12868747340 14155622074 16085934175 19303121010 21023201100 21233433111 28311244148 32171868350 35389055185 38606242020 42466866222 48257802525 64343736700 70778110370 84933732444 96515605050 106167165555 141556220740 176945275925 193031210100 212334331110 353890551850 424668662220 530835827775 707781103700 1061671655550 2123343311100