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42341020130200 = 23521127124642661
BaseRepresentation
bin10011010000010010010010…
…11101101101101110011000
312112220202120111022102002011
421220021021131231232120
521022203402123131300
6230015110210115304
711630015643606451
oct1150111135555630
9175822514272064
1042341020130200
11125447a9043100
1248b9b81b7bb34
131a8198317790c
14a6545dd46128
154d65c16eaeba
hex26824976db98

42341020130200 has 144 divisors (see below), whose sum is σ = 109729831060080. Its totient is φ = 15179878560000.

The previous prime is 42341020130159. The next prime is 42341020130231. The reversal of 42341020130200 is 203102014324.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10603131 + ... + 14039530.

It is an arithmetic number, because the mean of its divisors is an integer number (762012715695).

Almost surely, 242341020130200 is an apocalyptic number.

42341020130200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42341020130200 is an abundant number, since it is smaller than the sum of its proper divisors (67388810929880).

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

42341020130200 is a wasteful number, since it uses less digits than its factorization.

42341020130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24642770 (or 24642750 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 42341020130200 its reverse (203102014324), we get a palindrome (42544122144524).

The spelling of 42341020130200 in words is "forty-two trillion, three hundred forty-one billion, twenty million, one hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 71 88 100 110 121 142 200 220 242 275 284 355 440 484 550 568 605 710 781 968 1100 1210 1420 1562 1775 2200 2420 2840 3025 3124 3550 3905 4840 6050 6248 7100 7810 8591 12100 14200 15620 17182 19525 24200 31240 34364 39050 42955 68728 78100 85910 156200 171820 214775 343640 429550 859100 1718200 24642661 49285322 98570644 123213305 197141288 246426610 271069271 492853220 542138542 616066525 985706440 1084277084 1232133050 1355346355 1749628931 2168554168 2464266100 2710692710 2981761981 3499257862 4928532200 5421385420 5963523962 6776731775 6998515724 8748144655 10842770840 11927047924 13553463550 13997031448 14908809905 17496289310 19245918241 23854095848 27106927100 29817619810 34992578620 38491836482 43740723275 54213854200 59635239620 69985157240 74544049525 76983672964 87481446550 96229591205 119270479240 149088099050 153967345928 174962893100 192459182410 211705100651 298176198100 349925786200 384918364820 423410201302 481147956025 596352396200 769836729640 846820402604 962295912050 1058525503255 1693640805208 1924591824100 2117051006510 3849183648200 4234102013020 5292627516275 8468204026040 10585255032550 21170510065100 42341020130200