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10003033213020 = 22325277647310081
BaseRepresentation
bin1001000110010000001100…
…1111011100100001011100
31022102021120120202102212100
42101210003033130201130
52302342203000304040
633135155141205100
72051460326260041
oct221440317344134
938367516672770
1010003033213020
113207298519941
1211567a3700790
1357738869b323
14268213cdd1c8
15125306397b30
hex919033dc85c

10003033213020 has 144 divisors (see below), whose sum is σ = 30499238847168. Its totient is φ = 2653729136640.

The previous prime is 10003033212943. The next prime is 10003033213067. The reversal of 10003033213020 is 2031233030001.

10003033213020 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 30 + 332 + 1 + 302 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10003033212984 and 10003033213002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32104380 + ... + 32414460.

It is an arithmetic number, because the mean of its divisors is an integer number (211800269772).

Almost surely, 210003033213020 is an apocalyptic number.

10003033213020 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 10003033213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15249619423584).

10003033213020 is an abundant number, since it is smaller than the sum of its proper divisors (20496205634148).

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

10003033213020 is a wasteful number, since it uses less digits than its factorization.

10003033213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311020 (or 311015 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10003033213020 its reverse (2031233030001), we get a palindrome (12034266243021).

The spelling of 10003033213020 in words is "ten trillion, three billion, thirty-three million, two hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 277 554 647 831 1108 1294 1385 1662 1941 2493 2588 2770 3235 3324 3882 4155 4986 5540 5823 6470 7764 8310 9705 9972 11646 12465 12940 16620 19410 23292 24930 29115 38820 49860 58230 116460 179219 310081 358438 537657 620162 716876 896095 930243 1075314 1240324 1550405 1612971 1792190 1860486 2150628 2688285 2790729 3100810 3225942 3584380 3720972 4651215 5376570 5581458 6201620 6451884 8064855 9302430 10753140 11162916 13953645 16129710 18604860 27907290 32259420 55814580 85892437 171784874 200622407 257677311 343569748 401244814 429462185 515354622 601867221 773031933 802489628 858924370 1003112035 1030709244 1203734442 1288386555 1546063866 1717848740 1805601663 2006224070 2407468884 2576773110 3009336105 3092127732 3611203326 3865159665 4012448140 5153546220 6018672210 7222406652 7730319330 9028008315 12037344420 15460638660 18056016630 36112033260 55572406739 111144813478 166717220217 222289626956 277862033695 333434440434 500151660651 555724067390 666868880868 833586101085 1000303321302 1111448134780 1667172202170 2000606642604 2500758303255 3334344404340 5001516606510 10003033213020