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242111322300 = 223521811445631
BaseRepresentation
bin1110000101111011110…
…1011001100010111100
3212010221011011111201010
43201132331121202330
512431320444303200
6303120245515220
723330513166261
oct3413675314274
9763834144633
10242111322300
1193751590a01
123ab0a712b10
1319aa5924c73
14ba0ac45268
1564704ad150
hex385ef598bc

242111322300 has 72 divisors (see below), whose sum is σ = 700897139712. Its totient is φ = 64527224000.

The previous prime is 242111322293. The next prime is 242111322301. The reversal of 242111322300 is 3223111242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242111322301) 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, 320485 + ... + 766115.

It is an arithmetic number, because the mean of its divisors is an integer number (9734682496).

Almost surely, 2242111322300 is an apocalyptic number.

242111322300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242111322300 is an abundant number, since it is smaller than the sum of its proper divisors (458785817412).

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

242111322300 is a wasteful number, since it uses less digits than its factorization.

242111322300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447459 (or 447452 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 242111322300 its reverse (3223111242), we get a palindrome (245334433542).

The spelling of 242111322300 in words is "two hundred forty-two billion, one hundred eleven million, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1811 3622 5433 7244 9055 10866 18110 21732 27165 36220 45275 54330 90550 108660 135825 181100 271650 445631 543300 891262 1336893 1782524 2228155 2673786 4456310 5347572 6684465 8912620 11140775 13368930 22281550 26737860 33422325 44563100 66844650 133689300 807037741 1614075482 2421113223 3228150964 4035188705 4842226446 8070377410 9684452892 12105566115 16140754820 20175943525 24211132230 40351887050 48422264460 60527830575 80703774100 121055661150 242111322300