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221411102420112 = 243111922070484691
BaseRepresentation
bin110010010101111101001010…
…000110111110110010010000
31002000221200202102020201220220
4302111331022012332302100
5213010044414204420422
62102522504541433040
764431265344114303
oct6225751206766220
91060850672221826
10221411102420112
1164603a15160190
12209bab5626b780
139670c92384327
143c964d6bbcb3a
151a8e626b05e5c
hexc95f4a1bec90

221411102420112 has 80 divisors (see below), whose sum is σ = 656817624433920. Its totient is φ = 63562995907200.

The previous prime is 221411102420089. The next prime is 221411102420159. The reversal of 221411102420112 is 211024201114122.

221411102420112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 11035232314 + ... + 11035252377.

It is an arithmetic number, because the mean of its divisors is an integer number (8210220305424).

Almost surely, 2221411102420112 is an apocalyptic number.

221411102420112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221411102420112 is an abundant number, since it is smaller than the sum of its proper divisors (435406522013808).

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

221411102420112 is a wasteful number, since it uses less digits than its factorization.

221411102420112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22070484732 (or 22070484726 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 221411102420112 its reverse (211024201114122), we get a palindrome (432435303534234).

The spelling of 221411102420112 in words is "two hundred twenty-one trillion, four hundred eleven billion, one hundred two million, four hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 836 912 1254 1672 2508 3344 5016 10032 22070484691 44140969382 66211454073 88281938764 132422908146 176563877528 242775331601 264845816292 353127755056 419339209129 485550663202 529691632584 728325994803 838678418258 971101326404 1059383265168 1258017627387 1456651989606 1677356836516 1942202652808 2516035254774 2913303979212 3354713673032 3884405305616 4612731300419 5032070509548 5826607958424 6709427346064 9225462600838 10064141019096 11653215916848 13838193901257 18450925201676 20128282038192 27676387802514 36901850403352 55352775605028 73803700806704 110705551210056 221411102420112