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103031112311200 = 2552883145853783
BaseRepresentation
bin10111011011010011001100…
…110110011010000110100000
3111111210200022100212222020001
4113123103030312122012200
5102001030204222424300
61003043501203025344
730462516003525103
oct2733231466320640
9444720270788201
10103031112311200
112a91328197a837
12b68015306b254
134564a3b60c438
141b62a37b7873a
15bda12060616a
hex5db4ccd9a1a0

103031112311200 has 72 divisors (see below), whose sum is σ = 251809557094368. Its totient is φ = 41165771431680.

The previous prime is 103031112311173. The next prime is 103031112311201. The reversal of 103031112311200 is 2113211130301.

103031112311200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (103031112311201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72220492 + ... + 73633291.

It is an arithmetic number, because the mean of its divisors is an integer number (3497354959644).

Almost surely, 2103031112311200 is an apocalyptic number.

103031112311200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103031112311200 is an abundant number, since it is smaller than the sum of its proper divisors (148778444783168).

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

103031112311200 is a wasteful number, since it uses less digits than its factorization.

103031112311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145854686 (or 145854673 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 103031112311200 its reverse (2113211130301), we get a palindrome (105144323441501).

The spelling of 103031112311200 in words is "one hundred three trillion, thirty-one billion, one hundred twelve million, three hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 883 1766 3532 4415 7064 8830 14128 17660 22075 28256 35320 44150 70640 88300 141280 176600 353200 706400 145853783 291707566 583415132 729268915 1166830264 1458537830 2333660528 2917075660 3646344575 4667321056 5834151320 7292689150 11668302640 14585378300 23336605280 29170756600 58341513200 116683026400 128788890389 257577780778 515155561556 643944451945 1030311123112 1287888903890 2060622246224 2575777807780 3219722259725 4121244492448 5151555615560 6439444519450 10303111231120 12878889038900 20606222462240 25757778077800 51515556155600 103031112311200