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133021013123300 = 225243792411624829
BaseRepresentation
bin11110001111101101011110…
…001111000010000011100100
3122102222200111010011211100212
4132033231132033002003210
5114413404013324421200
61150525002041354552
740006310465441651
oct3617553617020344
9572880433154325
10133021013123300
113942599306a505
1212b04444198a58
13592ba9b643253
1424bc373b42c28
15105a2ad97d035
hex78fb5e3c20e4

133021013123300 has 144 divisors (see below), whose sum is σ = 300348655622400. Its totient is φ = 51100190668800.

The previous prime is 133021013123293. The next prime is 133021013123347. The reversal of 133021013123300 is 3321310120331.

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, 81055286 + ... + 82680114.

Almost surely, 2133021013123300 is an apocalyptic number.

133021013123300 is a gapful number since it is divisible by the number (10) 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 133021013123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150174327811200).

133021013123300 is an abundant number, since it is smaller than the sum of its proper divisors (167327642499100).

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

133021013123300 is a wasteful number, since it uses less digits than its factorization.

133021013123300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625206 (or 1625199 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 133021013123300 its reverse (3321310120331), we get a palindrome (136342323243631).

The spelling of 133021013123300 in words is "one hundred thirty-three trillion, twenty-one billion, thirteen million, one hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 79 86 100 158 172 215 241 316 395 430 482 790 860 964 1075 1205 1580 1975 2150 2410 3397 3950 4300 4820 6025 6794 7900 10363 12050 13588 16985 19039 20726 24100 33970 38078 41452 51815 67940 76156 84925 95195 103630 169850 190390 207260 259075 339700 380780 475975 518150 818677 951950 1036300 1624829 1637354 1903900 3249658 3274708 4093385 6499316 8124145 8186770 16248290 16373540 20466925 32496580 40620725 40933850 69867647 81241450 81867700 128361491 139735294 162482900 256722982 279470588 349338235 391583789 513445964 641807455 698676470 783167578 1283614910 1397352940 1566335156 1746691175 1957918945 2567229820 3209037275 3493382350 3915837890 5519544113 6418074550 6986764700 7831675780 9789594725 11039088226 12836149100 16838102927 19579189450 22078176452 27597720565 30935119331 33676205854 39158378900 55195441130 61870238662 67352411708 84190514635 110390882260 123740477324 137988602825 154675596655 168381029270 275977205650 309351193310 336762058540 420952573175 551954411300 618702386620 773377983275 841905146350 1330210131233 1546755966550 1683810292700 2660420262466 3093511933100 5320840524932 6651050656165 13302101312330 26604202624660 33255253280825 66510506561650 133021013123300