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242100503543220 = 223571300144337341
BaseRepresentation
bin110111000011000001101010…
…100000110111110110110100
31011202012120201100112220112120
4313003001222200313312310
5223213033312401340340
62214523234054315540
7101665120112040060
oct6703015240676664
91152176640486476
10242100503543220
1170160279780823
12231a0848958bb0
13a511c970231ba
1443ada26848aa0
151cec8ca2db4d0
hexdc306a837db4

242100503543220 has 96 divisors (see below), whose sum is σ = 774781218199296. Its totient is φ = 55333000320000.

The previous prime is 242100503543167. The next prime is 242100503543251. The reversal of 242100503543220 is 22345305001242.

242100503543220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2421005035432202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16708251 + ... + 27629090.

It is an arithmetic number, because the mean of its divisors is an integer number (8070637689576).

Almost surely, 2242100503543220 is an apocalyptic number.

242100503543220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242100503543220 is an abundant number, since it is smaller than the sum of its proper divisors (532680714656076).

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

242100503543220 is a wasteful number, since it uses less digits than its factorization.

242100503543220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44350361 (or 44350359 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 242100503543220 its reverse (22345305001242), we get a palindrome (264445808544462).

The spelling of 242100503543220 in words is "two hundred forty-two trillion, one hundred billion, five hundred three million, five hundred forty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 13001 26002 39003 52004 65005 78006 91007 130010 156012 182014 195015 260020 273021 364028 390030 455035 546042 780060 910070 1092084 1365105 1820140 2730210 5460420 44337341 88674682 133012023 177349364 221686705 266024046 310361387 443373410 532048092 620722774 665060115 886746820 931084161 1241445548 1330120230 1551806935 1862168322 2660240460 3103613870 3724336644 4655420805 6207227740 9310841610 18621683220 576429770341 1152859540682 1729289311023 2305719081364 2882148851705 3458578622046 4035008392387 5764297703410 6917157244092 8070016784774 8646446555115 11528595406820 12105025177161 16140033569548 17292893110230 20175041961935 24210050354322 34585786220460 40350083923870 48420100708644 60525125885805 80700167847740 121050251771610 242100503543220