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242101404300 = 223527412811863
BaseRepresentation
bin1110000101111001011…
…1100100001010001100
3212010220110111121202210
43201132113210022030
512431310424414200
6303115253150420
723330332660650
oct3413627441214
9763813447683
10242101404300
1193746a27408
123ab0732b410
1319aa3861822
14ba097c2a60
15646e69e650
hex385e5e428c

242101404300 has 144 divisors (see below), whose sum is σ = 820074511872. Its totient is φ = 53987750400.

The previous prime is 242101404247. The next prime is 242101404301. The reversal of 242101404300 is 3404101242.

It is a super-2 number, since 2×2421014043002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (242101404301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1319832 + ... + 1492031.

It is an arithmetic number, because the mean of its divisors is an integer number (5694961888).

Almost surely, 2242101404300 is an apocalyptic number.

242101404300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242101404300 is an abundant number, since it is smaller than the sum of its proper divisors (577973107572).

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

242101404300 is a wasteful number, since it uses less digits than its factorization.

242101404300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811928 (or 2811921 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 242101404300 its reverse (3404101242), we get a palindrome (245505505542).

The spelling of 242101404300 in words is "two hundred forty-two billion, one hundred one million, four hundred four thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 41 42 50 60 70 75 82 84 100 105 123 140 150 164 175 205 210 246 287 300 350 410 420 492 525 574 615 700 820 861 1025 1050 1148 1230 1435 1722 2050 2100 2460 2870 3075 3444 4100 4305 5740 6150 7175 8610 12300 14350 17220 21525 28700 43050 86100 2811863 5623726 8435589 11247452 14059315 16871178 19683041 28118630 33742356 39366082 42177945 56237260 59049123 70296575 78732164 84355890 98415205 115286383 118098246 140593150 168711780 196830410 210889725 230572766 236196492 281186300 295245615 345859149 393660820 421779450 461145532 492076025 576431915 590491230 691718298 807004681 843558900 984152050 1152863830 1180982460 1383436596 1476228075 1614009362 1729295745 1968304100 2305727660 2421014043 2882159575 2952456150 3228018724 3458591490 4035023405 4842028086 5764319150 5904912300 6917182980 8070046810 8646478725 9684056172 11528638300 12105070215 16140093620 17292957450 20175117025 24210140430 34585914900 40350234050 48420280860 60525351075 80700468100 121050702150 242101404300