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241042042010200 = 235237921611471529
BaseRepresentation
bin110110110011100111111001…
…010010100011101001011000
31011121110101122100102220020211
4312303213321102203221120
5223043213100223311300
62212353104014300504
7101525466335332564
oct6663477122435130
91147411570386224
10241042042010200
116a8923a0841892
122304b6901b7734
13a466222c6a592
1443746d5dc66a4
151cd00cb4194ba
hexdb39f94a3a58

241042042010200 has 96 divisors (see below), whose sum is σ = 562161836862000. Its totient is φ = 96117854515200.

The previous prime is 241042042010191. The next prime is 241042042010207. The reversal of 241042042010200 is 2010240240142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241042042010207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163068036 + ... + 164539564.

Almost surely, 2241042042010200 is an apocalyptic number.

241042042010200 is a gapful number since it is divisible by the number (20) 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 241042042010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281080918431000).

241042042010200 is an abundant number, since it is smaller than the sum of its proper divisors (321119794851800).

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

241042042010200 is a wasteful number, since it uses less digits than its factorization.

241042042010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474085 (or 1474076 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 241042042010200 its reverse (2010240240142), we get a palindrome (243052282250342).

The spelling of 241042042010200 in words is "two hundred forty-one trillion, forty-two billion, forty-two million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 379 758 1516 1895 2161 3032 3790 4322 7580 8644 9475 10805 15160 17288 18950 21610 37900 43220 54025 75800 86440 108050 216100 432200 819019 1471529 1638038 2943058 3276076 4095095 5886116 6552152 7357645 8190190 11772232 14715290 16380380 20475475 29430580 32760760 36788225 40950950 58861160 73576450 81901900 147152900 163803800 294305800 557709491 1115418982 2230837964 2788547455 3179974169 4461675928 5577094910 6359948338 11154189820 12719896676 13942737275 15899870845 22308379640 25439793352 27885474550 31799741690 55770949100 63599483380 79499354225 111541898200 127198966760 158998708450 317997416900 635994833800 1205210210051 2410420420102 4820840840204 6026051050255 9641681680408 12052102100510 24104204201020 30130255251275 48208408402040 60260510502550 120521021005100 241042042010200