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10133132202300 = 22352374392079487
BaseRepresentation
bin1001001101110100110110…
…1111101101000100111100
31022212201101101221212020210
42103131031233231010330
52312010123320433200
633315032514112420
72064044314366632
oct223351557550474
938781341855223
1010133132202300
113257489a5a098
121177a5157b710
1358671cc215a3
142706365b5352
151288bcc61650
hex9374dbed13c

10133132202300 has 144 divisors (see below), whose sum is σ = 30179526164480. Its totient is φ = 2623146819840.

The previous prime is 10133132202257. The next prime is 10133132202317. The reversal of 10133132202300 is 320223133101.

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, 3833157 + ... + 5912643.

Almost surely, 210133132202300 is an apocalyptic number.

10133132202300 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 10133132202300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15089763082240).

10133132202300 is an abundant number, since it is smaller than the sum of its proper divisors (20046393962180).

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

10133132202300 is a wasteful number, since it uses less digits than its factorization.

10133132202300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079980 (or 2079973 counting only the distinct ones).

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

Adding to 10133132202300 its reverse (320223133101), we get a palindrome (10453355335401).

The spelling of 10133132202300 in words is "ten trillion, one hundred thirty-three billion, one hundred thirty-two million, two hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 439 444 555 740 878 925 1110 1317 1756 1850 2195 2220 2634 2775 3700 4390 5268 5550 6585 8780 10975 11100 13170 16243 21950 26340 32486 32925 43900 48729 64972 65850 81215 97458 131700 162430 194916 243645 324860 406075 487290 812150 974580 1218225 1624300 2079487 2436450 4158974 4872900 6238461 8317948 10397435 12476922 20794870 24953844 31192305 41589740 51987175 62384610 76941019 103974350 124769220 153882038 155961525 207948700 230823057 307764076 311923050 384705095 461646114 623846100 769410190 912894793 923292228 1154115285 1538820380 1825789586 1923525475 2308230570 2738684379 3651579172 3847050950 4564473965 4616461140 5477368758 5770576425 7694101900 9128947930 10954737516 11541152850 13693421895 18257895860 22822369825 23082305700 27386843790 33777107341 45644739650 54773687580 67554214682 68467109475 91289479300 101331322023 135108429364 136934218950 168885536705 202662644046 273868437900 337771073410 405325288092 506656610115 675542146820 844427683525 1013313220230 1688855367050 2026626440460 2533283050575 3377710734100 5066566101150 10133132202300