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31121011212300 = 22335259693193093
BaseRepresentation
bin1110001001101111011001…
…10100011000000000001100
311002012010202210001200222000
413010313230310120000030
513034341312332243200
6150104443431552300
76361263445440402
oct704675464300014
9132163683050860
1031121011212300
119a0938a562909
1235a756382b690
131449911256909
1479839d165472
1538e7e018e300
hex1c4decd1800c

31121011212300 has 144 divisors (see below), whose sum is σ = 100050482088480. Its totient is φ = 8298754318080.

The previous prime is 31121011212257. The next prime is 31121011212323. The reversal of 31121011212300 is 321211012113.

31121011212300 is a `hidden beast` number, since 31 + 1 + 210 + 1 + 121 + 2 + 300 = 666.

It is a super-2 number, since 2×311210112123002 (a number of 28 digits) contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 161074554 + ... + 161267646.

Almost surely, 231121011212300 is an apocalyptic number.

31121011212300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31121011212300 is an abundant number, since it is smaller than the sum of its proper divisors (68929470876180).

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

31121011212300 is a wasteful number, since it uses less digits than its factorization.

31121011212300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252809 (or 252796 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 31121011212300 its reverse (321211012113), we get a palindrome (31442222224413).

The spelling of 31121011212300 in words is "thirty-one trillion, one hundred twenty-one billion, eleven million, two hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 59693 119386 179079 193093 238772 298465 358158 386186 537237 579279 596930 716316 772372 895395 965465 1074474 1158558 1193860 1492325 1611711 1737837 1790790 1930930 2148948 2317116 2686185 2896395 2984650 3223422 3475674 3581580 3861860 4476975 4827325 5213511 5372370 5792790 5969300 6446844 6951348 8058555 8689185 8953950 9654650 10427022 10744740 11585580 13430925 14481975 16117110 17378370 17907900 19309300 20854044 26067555 26861850 28963950 32234220 34756740 40292775 43445925 52135110 53723700 57927900 80585550 86891850 104270220 130337775 161171100 173783700 260675550 521351100 11526300449 23052600898 34578901347 46105201796 57631502245 69157802694 103736704041 115263004490 138315605388 172894506735 207473408082 230526008980 288157511225 311210112123 345789013470 414946816164 518683520205 576315022450 622420224246 691578026940 864472533675 1037367040410 1152630044900 1244840448492 1556050560615 1728945067350 2074734080820 2593417601025 3112101121230 3457890134700 5186835202050 6224202242460 7780252803075 10373670404100 15560505606150 31121011212300