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334324212124100 = 2252115910151003709
BaseRepresentation
bin100110000000100001110101…
…1111001110100100111000100
31121211202002020011122102021112
41030001003223321310213010
5322310031441300432400
63143014231152304152
7130264061432600132
oct11401035371644704
91554662204572245
10334324212124100
1197587113a25660
12315b6332242058
131147183a6a8333
145c7b541b1a752
15289b8176e4835
hex13010ebe749c4

334324212124100 has 144 divisors (see below), whose sum is σ = 812819604340800. Its totient is φ = 118328602560000.

The previous prime is 334324212124069. The next prime is 334324212124121. The reversal of 334324212124100 is 1421212423433.

It is a happy number.

It is a super-2 number, since 2×3343242121241002 (a number of 30 digits) contains 22 as substring.

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, 18946955 + ... + 32056754.

It is an arithmetic number, because the mean of its divisors is an integer number (5644580585700).

Almost surely, 2334324212124100 is an apocalyptic number.

It is an amenable number.

334324212124100 is an abundant number, since it is smaller than the sum of its proper divisors (478495392216700).

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

334324212124100 is a wasteful number, since it uses less digits than its factorization.

334324212124100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51003894 (or 51003887 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 334324212124100 its reverse (1421212423433), we get a palindrome (335745424547533).

The spelling of 334324212124100 in words is "three hundred thirty-four trillion, three hundred twenty-four billion, two hundred twelve million, one hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 59 100 101 110 118 202 220 236 275 295 404 505 550 590 649 1010 1100 1111 1180 1298 1475 2020 2222 2525 2596 2950 3245 4444 5050 5555 5900 5959 6490 10100 11110 11918 12980 16225 22220 23836 27775 29795 32450 55550 59590 64900 65549 111100 119180 131098 148975 262196 297950 327745 595900 655490 1310980 1638725 3277450 6554900 51003709 102007418 204014836 255018545 510037090 561040799 1020074180 1122081598 1275092725 2244163196 2550185450 2805203995 3009218831 5100370900 5151374609 5610407990 6018437662 10302749218 11220815980 12036875324 14026019975 15046094155 20605498436 25756873045 28052039950 30092188310 33101407141 51513746090 56104079900 56665120699 60184376620 66202814282 75230470775 103027492180 113330241398 128784365225 132405628564 150460941550 165507035705 226660482796 257568730450 283325603495 300921883100 303931101931 331014071410 515137460900 566651206990 607862203862 662028142820 827535178525 1133302413980 1215724407724 1416628017475 1519655509655 1655070357050 2833256034950 3039311019310 3310140714100 3343242121241 5666512069900 6078622038620 6686484242482 7598277548275 13372968484964 15196555096550 16716210606205 30393110193100 33432421212410 66864842424820 83581053031025 167162106062050 334324212124100