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2122333131420 = 22325232771850689
BaseRepresentation
bin11110111000100100111…
…010011001001010011100
321111220010001012211002100
4132320210322121022130
5234233014240201140
64302553020325100
7306222251651625
oct36704472311234
97456101184070
102122333131420
117490927a6097
122a33a50a3790
1312519ac23c78
1474a15a0aa4c
153a317beb530
hex1ee24e9929c

2122333131420 has 144 divisors (see below), whose sum is σ = 6741900809280. Its totient is φ = 539394121728.

The previous prime is 2122333131419. The next prime is 2122333131433. The reversal of 2122333131420 is 241313332212.

2122333131420 is a `hidden beast` number, since 2 + 1 + 2 + 233 + 3 + 1 + 3 + 1 + 420 = 666.

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, 221436 + ... + 2072124.

It is an arithmetic number, because the mean of its divisors is an integer number (46818755620).

Almost surely, 22122333131420 is an apocalyptic number.

2122333131420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122333131420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3370950404640).

2122333131420 is an abundant number, since it is smaller than the sum of its proper divisors (4619567677860).

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

2122333131420 is a wasteful number, since it uses less digits than its factorization.

2122333131420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851004 (or 1850999 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 2122333131420 its reverse (241313332212), we get a palindrome (2363646463632).

The spelling of 2122333131420 in words is "two trillion, one hundred twenty-two billion, three hundred thirty-three million, one hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 277 345 414 460 554 690 828 831 1035 1108 1380 1385 1662 2070 2493 2770 3324 4140 4155 4986 5540 6371 8310 9972 12465 12742 16620 19113 24930 25484 31855 38226 49860 57339 63710 76452 95565 114678 127420 191130 229356 286695 382260 573390 1146780 1850689 3701378 5552067 7402756 9253445 11104134 16656201 18506890 22208268 27760335 33312402 37013780 42565847 55520670 66624804 83281005 85131694 111041340 127697541 166562010 170263388 212829235 255395082 333124020 383092623 425658470 510790164 512640853 638487705 766185246 851316940 1025281706 1276975410 1532370492 1537922559 1915463115 2050563412 2553950820 2563204265 3075845118 3830926230 4613767677 5126408530 6151690236 7661852460 7689612795 9227535354 10252817060 11790739619 15379225590 18455070708 23068838385 23581479238 30758451180 35372218857 46137676770 47162958476 58953698095 70744437714 92275353540 106116656571 117907396190 141488875428 176861094285 212233313142 235814792380 353722188570 424466626284 530583282855 707444377140 1061166565710 2122333131420