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42111130200 = 2335298371399
BaseRepresentation
bin100111001110000001…
…001101101001011000
311000200210112001200220
4213032001031221120
51142220422131300
631202351400040
73020360462226
oct471601155130
9130623461626
1042111130200
111694a6a9447
1281b2b23020
133c81569529
142076b13b16
151166eebda0
hex9ce04da58

42111130200 has 96 divisors (see below), whose sum is σ = 130679136000. Its totient is φ = 11218053760.

The previous prime is 42111130153. The next prime is 42111130223. The reversal of 42111130200 is 203111124.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42111130200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 554101 + ... + 625499.

It is an arithmetic number, because the mean of its divisors is an integer number (1361241000).

Almost surely, 242111130200 is an apocalyptic number.

42111130200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42111130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65339568000).

42111130200 is an abundant number, since it is smaller than the sum of its proper divisors (88568005800).

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

42111130200 is a wasteful number, since it uses less digits than its factorization.

42111130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72401 (or 72392 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 42111130200 its reverse (203111124), we get a palindrome (42314241324).

The spelling of 42111130200 in words is "forty-two billion, one hundred eleven million, one hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 983 1966 2949 3932 4915 5898 7864 9830 11796 14745 19660 23592 24575 29490 39320 49150 58980 71399 73725 98300 117960 142798 147450 196600 214197 285596 294900 356995 428394 571192 589800 713990 856788 1070985 1427980 1713576 1784975 2141970 2855960 3569950 4283940 5354925 7139900 8567880 10709850 14279800 21419700 42839400 70185217 140370434 210555651 280740868 350926085 421111302 561481736 701852170 842222604 1052778255 1403704340 1684445208 1754630425 2105556510 2807408680 3509260850 4211113020 5263891275 7018521700 8422226040 10527782550 14037043400 21055565100 42111130200