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20121303123300 = 223523110720220383
BaseRepresentation
bin1001001001100110110110…
…01000000000010101100100
32122020120121012200122021010
410210303123020000111210
510114131412044421200
6110443333221022220
74144500435403401
oct444633310002544
978216535618233
1020121303123300
116458440062a65
12230b787854970
13b2c57a45a882
144d7c3a6992a8
1524d604447150
hex124cdb200564

20121303123300 has 144 divisors (see below), whose sum is σ = 60657269686272. Its totient is φ = 5144065180800.

The previous prime is 20121303123287. The next prime is 20121303123319. The reversal of 20121303123300 is 332130312102.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9115092 + ... + 11105291.

It is an arithmetic number, because the mean of its divisors is an integer number (421231039488).

Almost surely, 220121303123300 is an apocalyptic number.

20121303123300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121303123300 is an abundant number, since it is smaller than the sum of its proper divisors (40535966562972).

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

20121303123300 is a wasteful number, since it uses less digits than its factorization.

20121303123300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20220538 (or 20220531 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 20121303123300 its reverse (332130312102), we get a palindrome (20453433435402).

The spelling of 20121303123300 in words is "twenty trillion, one hundred twenty-one billion, three hundred three million, one hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 107 124 150 155 186 214 300 310 321 372 428 465 535 620 642 775 930 1070 1284 1550 1605 1860 2140 2325 2675 3100 3210 3317 4650 5350 6420 6634 8025 9300 9951 10700 13268 16050 16585 19902 32100 33170 39804 49755 66340 82925 99510 165850 199020 248775 331700 497550 995100 20220383 40440766 60661149 80881532 101101915 121322298 202203830 242644596 303305745 404407660 505509575 606611490 626831873 1011019150 1213222980 1253663746 1516528725 1880495619 2022038300 2163580981 2507327492 3033057450 3134159365 3760991238 4327161962 6066114900 6268318730 6490742943 7521982476 8654323924 9402478095 10817904905 12536637460 12981485886 15670796825 18804956190 21635809810 25962971772 31341593650 32453714715 37609912380 43271619620 47012390475 54089524525 62683187300 64907429430 67071010411 94024780950 108179049050 129814858860 134142020822 162268573575 188049561900 201213031233 216358098100 268284041644 324537147150 335355052055 402426062466 649074294300 670710104110 804852124932 1006065156165 1341420208220 1676775260275 2012130312330 3353550520550 4024260624660 5030325780825 6707101041100 10060651561650 20121303123300