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2120123310120 = 233353163325069
BaseRepresentation
bin11110110110100001001…
…100100110000000101000
321111200102001001021011000
4132312201030212000220
5234214003031410440
64301545440235000
7306113426536134
oct36664114460050
97450361037130
102120123310120
117481593786a2
122a2a8900ba60
13124c081641ba
14748863343c4
153a238bde730
hex1eda1326028

2120123310120 has 128 divisors (see below), whose sum is σ = 7295048064000. Its totient is φ = 547128587520.

The previous prime is 2120123310083. The next prime is 2120123310127. The reversal of 2120123310120 is 210133210212.

2120123310120 is a `hidden beast` number, since 212 + 0 + 1 + 2 + 331 + 0 + 120 = 666.

It is a super-2 number, since 2×21201233101202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2120123310093 and 2120123310102.

It is not an unprimeable number, because it can be changed into a prime (2120123310127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31629055 + ... + 31696014.

It is an arithmetic number, because the mean of its divisors is an integer number (56992563000).

Almost surely, 22120123310120 is an apocalyptic number.

2120123310120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120123310120 is an abundant number, since it is smaller than the sum of its proper divisors (5174924753880).

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

2120123310120 is a wasteful number, since it uses less digits than its factorization.

2120123310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63325120 (or 63325110 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2120123310120 its reverse (210133210212), we get a palindrome (2330256520332).

The spelling of 2120123310120 in words is "two trillion, one hundred twenty billion, one hundred twenty-three million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 744 837 930 1080 1116 1240 1395 1674 1860 2232 2790 3348 3720 4185 5580 6696 8370 11160 16740 33480 63325069 126650138 189975207 253300276 316625345 379950414 506600552 569925621 633250690 759900828 949876035 1139851242 1266501380 1519801656 1709776863 1899752070 1963077139 2279702484 2533002760 2849628105 3419553726 3799504140 3926154278 4559404968 5699256210 5889231417 6839107452 7599008280 7852308556 8548884315 9815385695 11398512420 11778462834 13678214904 15704617112 17097768630 17667694251 19630771390 22797024840 23556925668 29446157085 34195537260 35335388502 39261542780 47113851336 53003082753 58892314170 68391074520 70670777004 78523085560 88338471255 106006165506 117784628340 141341554008 176676942510 212012331012 235569256680 265015413765 353353885020 424024662024 530030827530 706707770040 1060061655060 2120123310120