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201100222120020 = 2235111722367134153
BaseRepresentation
bin101101101110011001001011…
…010011011100000001010100
3222101000222211020122200200120
4231232121023103130001110
5202324311223330320040
61551412055555511540
760234003655115346
oct5556311323340124
9871028736580616
10201100222120020
1159093141795403
121a67a6a15b85b0
138829892097802
1437934347cb296
15183b1292b87d0
hexb6e64b4dc054

201100222120020 has 96 divisors (see below), whose sum is σ = 563614121161728. Its totient is φ = 53575921492992.

The previous prime is 201100222119893. The next prime is 201100222120069. The reversal of 201100222120020 is 20021222001102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1498969264 + ... + 1499103416.

It is an arithmetic number, because the mean of its divisors is an integer number (5870980428768).

Almost surely, 2201100222120020 is an apocalyptic number.

201100222120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201100222120020 is an abundant number, since it is smaller than the sum of its proper divisors (362513899041708).

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

201100222120020 is a wasteful number, since it uses less digits than its factorization.

201100222120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157649 (or 157647 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 201100222120020 its reverse (20021222001102), we get a palindrome (221121444121122).

The spelling of 201100222120020 in words is "two hundred one trillion, one hundred billion, two hundred twenty-two million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1117 2234 3351 4468 5585 6702 11170 13404 16755 22340 22367 33510 44734 67020 67101 89468 111835 134153 134202 223670 268306 268404 335505 402459 447340 536612 670765 671010 804918 1341530 1342020 1609836 2012295 2683060 4024590 8049180 24983939 49967878 74951817 99935756 124919695 149848901 149903634 249839390 299697802 299807268 374759085 449546703 499678780 599395604 749244505 749518170 899093406 1498489010 1499036340 1798186812 2247733515 2996978020 3000600151 4495467030 6001200302 8990934060 9001800453 12002400604 15003000755 18003600906 30006001510 36007201812 45009002265 60012003020 90018004530 180036009060 3351670368667 6703340737334 10055011106001 13406681474668 16758351843335 20110022212002 33516703686670 40220044424004 50275055530005 67033407373340 100550111060010 201100222120020