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20303320103031 = 37371031188913417
BaseRepresentation
bin1001001110111001111000…
…01011101011100001110111
32122212222102021202020112210
410213130330023223201313
510130122144421244111
6111103114432344503
74163603125245030
oct447347413534167
978788367666483
1020303320103031
116518653989939
12233ab049a5133
13b43796c12c44
145029862cda87
15253208c690a6
hex12773c2eb877

20303320103031 has 64 divisors (see below), whose sum is σ = 31824593418240. Its totient is φ = 11270573383680.

The previous prime is 20303320103021. The next prime is 20303320103069. The reversal of 20303320103031 is 13030102330302.

It is not a de Polignac number, because 20303320103031 - 25 = 20303320102999 is a prime.

It is a super-2 number, since 2×203033201030312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 20303320102989 and 20303320103007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20303320103021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1513246635 + ... + 1513260051.

It is an arithmetic number, because the mean of its divisors is an integer number (497259272160).

Almost surely, 220303320103031 is an apocalyptic number.

20303320103031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20303320103031 is a deficient number, since it is larger than the sum of its proper divisors (11521273315209).

20303320103031 is a wasteful number, since it uses less digits than its factorization.

20303320103031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16384.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 20303320103031 its reverse (13030102330302), we get a palindrome (33333422433333).

The spelling of 20303320103031 in words is "twenty trillion, three hundred three billion, three hundred twenty million, one hundred three thousand, thirty-one".

Divisors: 1 3 7 21 37 111 259 777 1031 1889 3093 5667 7217 13223 13417 21651 38147 39669 40251 69893 93919 114441 209679 267029 281757 489251 496429 801087 1467753 1489287 1947559 3475003 5842677 10425009 13632913 13832927 25344713 40898739 41498781 72059683 76034139 96830489 177412991 216179049 290491467 504417781 511818299 532238973 937754381 1513253343 1535454897 2813263143 3582728093 6564280667 10748184279 19692842001 26130399103 78391197309 182912793721 548738381163 966824766811 2900474300433 6767773367677 20303320103031