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103011321000020 = 22524121371643361
BaseRepresentation
bin10111011011000000110001…
…001100100011000001010100
3111111201210020002001012012212
4113123000301030203001110
5102000214141134000040
61003030425250332552
730461215364254316
oct2733006114430124
9444653202035185
10103011321000020
112a905946228814
12b67834ab8a158
134562c06241914
141b61abb4977b6
15bd9862d5dd65
hex5db031323054

103011321000020 has 24 divisors (see below), whose sum is σ = 217221383131368. Its totient is φ = 41033555251200.

The previous prime is 103011320999957. The next prime is 103011321000059. The reversal of 103011321000020 is 20000123110301.

It can be written as a sum of positive squares in 4 ways, for example, as 12782941704976 + 90228379295044 = 3575324^2 + 9498862^2 .

It is a super-2 number, since 2×1030113210000202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103011320999959 and 103011321000004.

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 7 ways as a sum of consecutive naturals, for example, 10685816861 + ... + 10685826500.

It is an arithmetic number, because the mean of its divisors is an integer number (9050890963807).

Almost surely, 2103011321000020 is an apocalyptic number.

103011321000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103011321000020 is an abundant number, since it is smaller than the sum of its proper divisors (114210062131348).

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

103011321000020 is a wasteful number, since it uses less digits than its factorization.

103011321000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21371643611 (or 21371643609 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 103011321000020 its reverse (20000123110301), we get a palindrome (123011444110321).

The spelling of 103011321000020 in words is "one hundred three trillion, eleven billion, three hundred twenty-one million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 241 482 964 1205 2410 4820 21371643361 42743286722 85486573444 106858216805 213716433610 427432867220 5150566050001 10301132100002 20602264200004 25752830250005 51505660500010 103011321000020