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204343133100 = 2235217269148949
BaseRepresentation
bin1011111001001111001…
…1001100001110101100
3201112110000122201001220
42332103303030032230
511321443320224400
6233512434303340
720522545654431
oct2762363141654
9645400581056
10204343133100
117973040a3a7
123372a127b50
1316367061312
149c66c35b88
1554ae8c87a0
hex2f93ccc3ac

204343133100 has 144 divisors (see below), whose sum is σ = 628342596000. Its totient is φ = 51095121920.

The previous prime is 204343133069. The next prime is 204343133123. The reversal of 204343133100 is 1331343402.

It is a super-2 number, since 2×2043431331002 (a number of 23 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, 1297426 + ... + 1446374.

It is an arithmetic number, because the mean of its divisors is an integer number (4363490250).

Almost surely, 2204343133100 is an apocalyptic number.

204343133100 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 204343133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314171298000).

204343133100 is an abundant number, since it is smaller than the sum of its proper divisors (423999462900).

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

204343133100 is a wasteful number, since it uses less digits than its factorization.

204343133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149252 (or 149245 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 204343133100 its reverse (1331343402), we get a palindrome (205674476502).

The spelling of 204343133100 in words is "two hundred four billion, three hundred forty-three million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 269 300 340 425 510 538 807 850 1020 1076 1275 1345 1614 1700 2550 2690 3228 4035 4573 5100 5380 6725 8070 9146 13450 13719 16140 18292 20175 22865 26900 27438 40350 45730 54876 68595 80700 91460 114325 137190 148949 228650 274380 297898 342975 446847 457300 595796 685950 744745 893694 1371900 1489490 1787388 2234235 2532133 2978980 3723725 4468470 5064266 7447450 7596399 8936940 10128532 11171175 12660665 14894900 15192798 22342350 25321330 30385596 37981995 40067281 44684700 50642660 63303325 75963990 80134562 120201843 126606650 151927980 160269124 189909975 200336405 240403686 253213300 379819950 400672810 480807372 601009215 681143777 759639900 801345620 1001682025 1202018430 1362287554 2003364050 2043431331 2404036860 2724575108 3005046075 3405718885 4006728100 4086862662 6010092150 6811437770 8173725324 10217156655 12020184300 13622875540 17028594425 20434313310 34057188850 40868626620 51085783275 68114377700 102171566550 204343133100