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20011000103100 = 223252198711189957
BaseRepresentation
bin1001000110011001011001…
…00011011000000010111100
32121212000220000002122022200
410203030230203120002330
510110330012011244400
6110320532044311500
74133514144244206
oct443145443300274
977760800078280
1020011000103100
116415687966336
1222b2323542590
13b2204c246296
144d2775157776
1524a7ea945b00
hex12332c8d80bc

20011000103100 has 108 divisors (see below), whose sum is σ = 62754940577784. Its totient is φ = 5333580627840.

The previous prime is 20011000103053. The next prime is 20011000103113. The reversal of 20011000103100 is 130100011002.

It is a super-2 number, since 2×200110001031002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 35 ways as a sum of consecutive naturals, for example, 3806679 + ... + 7383278.

Almost surely, 220011000103100 is an apocalyptic number.

20011000103100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20011000103100 is an abundant number, since it is smaller than the sum of its proper divisors (42743940474684).

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

20011000103100 is a wasteful number, since it uses less digits than its factorization.

20011000103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11191964 (or 11191954 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 20011000103100 its reverse (130100011002), we get a palindrome (20141100114102).

The spelling of 20011000103100 in words is "twenty trillion, eleven billion, one hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1987 3974 5961 7948 9935 11922 17883 19870 23844 29805 35766 39740 49675 59610 71532 89415 99350 119220 149025 178830 198700 298050 357660 447075 596100 894150 1788300 11189957 22379914 33569871 44759828 55949785 67139742 100709613 111899570 134279484 167849355 201419226 223799140 279748925 335698710 402838452 503548065 559497850 671397420 839246775 1007096130 1118995700 1678493550 2014192260 2517740325 3356987100 5035480650 10070961300 22234444559 44468889118 66703333677 88937778236 111172222795 133406667354 200110001031 222344445590 266813334708 333516668385 400220002062 444688891180 555861113975 667033336770 800440004124 1000550005155 1111722227950 1334066673540 1667583341925 2001100010310 2223444455900 3335166683850 4002200020620 5002750025775 6670333367700 10005500051550 20011000103100