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10003302103020 = 22351391622973907
BaseRepresentation
bin1001000110010001001101…
…0001001011011111101100
31022102022021022201110121020
42101210103101023133230
52302343230314244040
633135241544334140
72051500102635642
oct221442321133754
938368238643536
1010003302103020
113207416284986
121156859774350
135773cc2c5b35
1426823b8d5192
1512531ecadcd0
hex9191344b7ec

10003302103020 has 96 divisors (see below), whose sum is σ = 28212871276800. Its totient is φ = 2648157222144.

The previous prime is 10003302102967. The next prime is 10003302103033. The reversal of 10003302103020 is 2030120330001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135312907 + ... + 135386813.

It is an arithmetic number, because the mean of its divisors is an integer number (293884075800).

Almost surely, 210003302103020 is an apocalyptic number.

10003302103020 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 10003302103020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14106435638400).

10003302103020 is an abundant number, since it is smaller than the sum of its proper divisors (18209569173780).

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

10003302103020 is a wasteful number, since it uses less digits than its factorization.

10003302103020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90287 (or 90285 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10003302103020 its reverse (2030120330001), we get a palindrome (12033422433021).

The spelling of 10003302103020 in words is "ten trillion, three billion, three hundred two million, one hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 834 1390 1668 2085 2780 4170 8340 16229 32458 48687 64916 73907 81145 97374 147814 162290 194748 221721 243435 295628 324580 369535 443442 486870 739070 886884 973740 1108605 1478140 2217210 2255831 4434420 4511662 6767493 9023324 10273073 11279155 13534986 20546146 22558310 27069972 30819219 33837465 41092292 45116620 51365365 61638438 67674930 102730730 123276876 135349860 154096095 205461460 308192190 616384380 1199436703 2398873406 3598310109 4797746812 5997183515 7196620218 11994367030 14393240436 17991550545 23988734060 35983101090 71966202180 166721701717 333443403434 500165105151 666886806868 833608508585 1000330210302 1667217017170 2000660420604 2500825525755 3334434034340 5001651051510 10003302103020