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221002111122020 = 225411073976344659
BaseRepresentation
bin110010010000000000010000…
…010100111111101001100100
31001222111121002002222002200122
4302100000100110333221210
5212431344310421401040
62102010545050501112
764356606223334234
oct6220002024775144
91058447062862618
10221002111122020
1164466518240518
1220953833a34798
139641543021777
143c807b882bcc4
151a83b8ab9e1b5
hexc9001053fa64

221002111122020 has 96 divisors (see below), whose sum is σ = 481076078636160. Its totient is φ = 85223476546560.

The previous prime is 221002111122017. The next prime is 221002111122077. The reversal of 221002111122020 is 20221111200122.

It is a self number, because there is not a number n which added to its sum of digits gives 221002111122020.

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, 31660451 + ... + 38005109.

It is an arithmetic number, because the mean of its divisors is an integer number (5011209152460).

Almost surely, 2221002111122020 is an apocalyptic number.

221002111122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221002111122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240538039318080).

221002111122020 is an abundant number, since it is smaller than the sum of its proper divisors (260073967514140).

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

221002111122020 is a wasteful number, since it uses less digits than its factorization.

221002111122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6345213 (or 6345211 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 221002111122020 its reverse (20221111200122), we get a palindrome (241223222322142).

The spelling of 221002111122020 in words is "two hundred twenty-one trillion, two billion, one hundred eleven million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 107 164 205 214 397 410 428 535 794 820 1070 1588 1985 2140 3970 4387 7940 8774 16277 17548 21935 32554 42479 43870 65108 81385 84958 87740 162770 169916 212395 325540 424790 849580 1741639 3483278 6344659 6966556 8708195 12689318 17416390 25378636 31723295 34832780 63446590 126893180 260131019 520262038 678878513 1040524076 1300655095 1357757026 2518829623 2601310190 2715514052 3394392565 5037659246 5202620380 6788785130 10075318492 12594148115 13577570260 25188296230 27834019033 50376592460 55668038066 103272014543 111336076132 139170095165 206544029086 269514769661 278340190330 413088058172 516360072715 539029539322 556680380660 1032720145430 1078059078644 1347573848305 2065440290860 2695147696610 5390295393220 11050105556101 22100211112202 44200422224404 55250527780505 110501055561010 221002111122020