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203311040113302 = 231124127492484653
BaseRepresentation
bin101110001110100100001010…
…010100110010101010010110
3222122212100022221202020002220
4232032210022110302222112
5203122022002232111202
62000223445154043210
760552511051026432
oct5616441224625226
9878770287666086
10203311040113302
1159865800921900
121a97705bb79506
13895a1c1c4b2b4
14382c441db19c2
1518788c0306abc
hexb8e90a532a96

203311040113302 has 96 divisors (see below), whose sum is σ = 458016149052000. Its totient is φ = 60084848524800.

The previous prime is 203311040113301. The next prime is 203311040113361.

203311040113302 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203311040113301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80584408 + ... + 83069060.

It is an arithmetic number, because the mean of its divisors is an integer number (4771001552625).

Almost surely, 2203311040113302 is an apocalyptic number.

203311040113302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 203311040113302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229008074526000).

203311040113302 is an abundant number, since it is smaller than the sum of its proper divisors (254705108938698).

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

203311040113302 is a wasteful number, since it uses less digits than its factorization.

203311040113302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487470 (or 2487459 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The spelling of 203311040113302 in words is "two hundred three trillion, three hundred eleven billion, forty million, one hundred thirteen thousand, three hundred two".

Divisors: 1 2 3 6 11 22 33 41 66 82 121 123 242 246 363 451 726 902 1353 2706 2749 4961 5498 8247 9922 14883 16494 29766 30239 60478 90717 112709 181434 225418 332629 338127 665258 676254 997887 1239799 1995774 2479598 2484653 3719397 4969306 7438794 7453959 13637789 14907918 27275578 27331183 40913367 54662366 81826734 81993549 101870773 163987098 203741546 300643013 305612319 601286026 611224638 901929039 1120578503 1803858078 2241157006 3361735509 6723471018 6830311097 12326363533 13660622194 20490933291 24652727066 36979090599 40981866582 73958181198 75133422067 150266844134 225400266201 280042754977 450800532402 560085509954 826467642737 840128264931 1652935285474 1680256529862 2479402928211 3080470304747 4958805856422 6160940609494 9241410914241 18482821828482 33885173352217 67770346704434 101655520056651 203311040113302