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10133103330300 = 223521631811144867
BaseRepresentation
bin1001001101110100110000…
…0001100100001111111100
31022212201022101122000022110
42103131030001210033330
52312010043423032200
633315030003214020
72064043514106666
oct223351401441774
938781271560273
1010133103330300
11325747472a135
121177a43977310
13586716c52b72
1427063281b536
151288ba45bb50
hex9374c0643fc

10133103330300 has 144 divisors (see below), whose sum is σ = 29661313415552. Its totient is φ = 2670743404800.

The previous prime is 10133103330283. The next prime is 10133103330341. The reversal of 10133103330300 is 303330133101.

It is a congruent number.

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, 8278467 + ... + 9423333.

Almost surely, 210133103330300 is an apocalyptic number.

10133103330300 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 10133103330300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14830656707776).

10133103330300 is an abundant number, since it is smaller than the sum of its proper divisors (19528210085252).

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

10133103330300 is a wasteful number, since it uses less digits than its factorization.

10133103330300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145228 (or 1145221 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 10133103330300 its reverse (303330133101), we get a palindrome (10436433463401).

The spelling of 10133103330300 in words is "ten trillion, one hundred thirty-three billion, one hundred three million, three hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 163 181 300 326 362 489 543 652 724 815 905 978 1086 1630 1810 1956 2172 2445 2715 3260 3620 4075 4525 4890 5430 8150 9050 9780 10860 12225 13575 16300 18100 24450 27150 29503 48900 54300 59006 88509 118012 147515 177018 295030 354036 442545 590060 737575 885090 1144867 1475150 1770180 2212725 2289734 2950300 3434601 4425450 4579468 5724335 6869202 8850900 11448670 13738404 17173005 22897340 28621675 34346010 57243350 68692020 85865025 114486700 171730050 186613321 207220927 343460100 373226642 414441854 559839963 621662781 746453284 828883708 933066605 1036104635 1119679926 1243325562 1866133210 2072209270 2239359852 2486651124 2799199815 3108313905 3732266420 4144418540 4665333025 5180523175 5598399630 6216627810 9330666050 10361046350 11196799260 12433255620 13995999075 15541569525 18661332100 20722092700 27991998150 31083139050 33777011101 55983996300 62166278100 67554022202 101331033303 135108044404 168885055505 202662066606 337770111010 405324133212 506655166515 675540222020 844425277525 1013310333030 1688850555050 2026620666060 2533275832575 3377701110100 5066551665150 10133103330300