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103313021210300 = 225211508118484733
BaseRepresentation
bin10111011111011001101111…
…111011100000111010111100
3111112210121222002012212000002
4113133121233323200322330
5102020140031412212200
61003421202521053432
730522055655606156
oct2737315773407274
9445717862185002
10103313021210300
112aa11896121180
12b706909927278
1345854b73916c5
141b7253c337ad6
15be261e913bd5
hex5df66fee0ebc

103313021210300 has 72 divisors (see below), whose sum is σ = 244618244961552. Its totient is φ = 37560975424000.

The previous prime is 103313021210173. The next prime is 103313021210351. The reversal of 103313021210300 is 3012120313301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3653267 + ... + 14831466.

It is an arithmetic number, because the mean of its divisors is an integer number (3397475624466).

Almost surely, 2103313021210300 is an apocalyptic number.

103313021210300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103313021210300 is an abundant number, since it is smaller than the sum of its proper divisors (141305223751252).

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

103313021210300 is a wasteful number, since it uses less digits than its factorization.

103313021210300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18489839 (or 18489832 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 103313021210300 its reverse (3012120313301), we get a palindrome (106325141523601).

The spelling of 103313021210300 in words is "one hundred three trillion, three hundred thirteen billion, twenty-one million, two hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 5081 10162 20324 25405 50810 55891 101620 111782 127025 223564 254050 279455 508100 558910 1117820 1397275 2794550 5589100 18484733 36969466 73938932 92423665 184847330 203332063 369694660 406664126 462118325 813328252 924236650 1016660315 1848473300 2033320630 4066641260 5083301575 10166603150 20333206300 93920928373 187841856746 375683713492 469604641865 939209283730 1033130212103 1878418567460 2066260424206 2348023209325 4132520848412 4696046418650 5165651060515 9392092837300 10331302121030 20662604242060 25828255302575 51656510605150 103313021210300