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1000313233100 = 2252192337960397
BaseRepresentation
bin11101000111001110101…
…00001001111011001100
310112121222112211022111222
432203213110021323030
5112342120141424400
62043312040102512
7132161460122036
oct16434724117314
93477875738458
101000313233100
11356259818625
12141a4aa64a38
137343814a97c
14365b5ca2c56
151b048edb185
hexe8e7509ecc

1000313233100 has 144 divisors (see below), whose sum is σ = 2390601158400. Its totient is φ = 361622257920.

The previous prime is 1000313233099. The next prime is 1000313233159. The reversal of 1000313233100 is 13323130001.

It is a super-2 number, since 2×10003132331002 (a number of 25 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, 16532102 + ... + 16592498.

Almost surely, 21000313233100 is an apocalyptic number.

1000313233100 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 1000313233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195300579200).

1000313233100 is an abundant number, since it is smaller than the sum of its proper divisors (1390287925300).

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

1000313233100 is a wasteful number, since it uses less digits than its factorization.

1000313233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60832 (or 60825 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 1000313233100 its reverse (13323130001), we get a palindrome (1013636363101).

The spelling of 1000313233100 in words is "one trillion, three hundred thirteen million, two hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 23 25 38 46 50 76 92 95 100 115 190 230 379 380 437 460 475 575 758 874 950 1150 1516 1748 1895 1900 2185 2300 3790 4370 7201 7580 8717 8740 9475 10925 14402 17434 18950 21850 28804 34868 36005 37900 43585 43700 60397 72010 87170 120794 144020 165623 174340 180025 217925 241588 301985 331246 360050 435850 603970 662492 720100 828115 871700 1147543 1207940 1389131 1509925 1656230 2295086 2778262 3019850 3312460 4140575 4590172 5556524 5737715 6039700 6945655 8281150 11475430 13891310 16562300 22890463 22950860 26393489 27782620 28688575 34728275 45780926 52786978 57377150 69456550 91561852 105573956 114452315 114754300 131967445 138913100 228904630 263934890 434918797 457809260 526480649 527869780 572261575 659837225 869837594 1052961298 1144523150 1319674450 1739675188 2105922596 2174593985 2289046300 2632403245 2639348900 4349187970 5264806490 8698375940 10003132331 10529612980 10872969925 13162016225 20006264662 21745939850 26324032450 40012529324 43491879700 50015661655 52648064900 100031323310 200062646620 250078308275 500156616550 1000313233100