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42121323200 = 2652112393257
BaseRepresentation
bin100111001110101000…
…000110001011000000
311000201111200220212102
4213032220012023000
51142231024320300
631203354045532
73020543224355
oct471650061300
9130644626772
1042121323200
1116955430610
1281b64198a8
133c836c7ba8
14207820862c
151167d620d5
hex9cea062c0

42121323200 has 84 divisors (see below), whose sum is σ = 113067080952. Its totient is φ = 15316838400.

The previous prime is 42121323197. The next prime is 42121323203. The reversal of 42121323200 is 232312124.

It is an interprime number because it is at equal distance from previous prime (42121323197) and next prime (42121323203).

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

It is not an unprimeable number, because it can be changed into a prime (42121323203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1179029 + ... + 1214228.

It is an arithmetic number, because the mean of its divisors is an integer number (1346036678).

Almost surely, 242121323200 is an apocalyptic number.

42121323200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42121323200 is an abundant number, since it is smaller than the sum of its proper divisors (70945757752).

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

42121323200 is a wasteful number, since it uses less digits than its factorization.

42121323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393290 (or 2393275 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 42121323200 its reverse (232312124), we get a palindrome (42353635324).

The spelling of 42121323200 in words is "forty-two billion, one hundred twenty-one million, three hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 160 176 200 220 275 320 352 400 440 550 704 800 880 1100 1600 1760 2200 3520 4400 8800 17600 2393257 4786514 9573028 11966285 19146056 23932570 26325827 38292112 47865140 52651654 59831425 76584224 95730280 105303308 119662850 131629135 153168448 191460560 210606616 239325700 263258270 382921120 421213232 478651400 526516540 658145675 765842240 842426464 957302800 1053033080 1316291350 1684852928 1914605600 2106066160 2632582700 3829211200 4212132320 5265165400 8424264640 10530330800 21060661600 42121323200