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221102121201080 = 23577561104437301
BaseRepresentation
bin110010010001011101011001…
…011001001010110110111000
31001222212011012222120111210212
4302101131121121022312320
5212440014121011413310
62102124525013530252
764400046452101610
oct6221353131126670
91058764188514725
10221102121201080
11644a4979330119
122096b0a5043988
13964aac094ca42
143c85584d53a40
151a86590c2a205
hexc9175964adb8

221102121201080 has 64 divisors (see below), whose sum is σ = 568623511961280. Its totient is φ = 75796414848000.

The previous prime is 221102121201079. The next prime is 221102121201133. The reversal of 221102121201080 is 80102121201122.

221102121201080 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 2×2211021212010802 (a number of 29 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 15 ways as a sum of consecutive naturals, for example, 50101571 + ... + 54335730.

It is an arithmetic number, because the mean of its divisors is an integer number (8884742374395).

Almost surely, 2221102121201080 is an apocalyptic number.

221102121201080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221102121201080 is an abundant number, since it is smaller than the sum of its proper divisors (347521390760200).

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

221102121201080 is a wasteful number, since it uses less digits than its factorization.

221102121201080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104444880 (or 104444876 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 23.

The spelling of 221102121201080 in words is "two hundred twenty-one trillion, one hundred two billion, one hundred twenty-one million, two hundred one thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 7561 15122 30244 37805 52927 60488 75610 105854 151220 211708 264635 302440 423416 529270 1058540 2117080 104437301 208874602 417749204 522186505 731061107 835498408 1044373010 1462122214 2088746020 2924244428 3655305535 4177492040 5848488856 7310611070 14621222140 29242444280 789650432861 1579300865722 3158601731444 3948252164305 5527553030027 6317203462888 7896504328610 11055106060054 15793008657220 22110212120108 27637765150135 31586017314440 44220424240216 55275530300270 110551060600540 221102121201080