Search a number
-
+
220103022220101 = 323137617259313327
BaseRepresentation
bin110010000010111010111010…
…011101000001001101000101
31001212022122101001120121001200
4302002322322131001031011
5212322131442142020401
62100041533231213113
764234630034634306
oct6202727235011505
91055278331517050
10220103022220101
116414a192a73149
1220829534977199
1395a781a246667
143c4d0864507ad
151a6a5b8642686
hexc82eba741345

220103022220101 has 96 divisors (see below), whose sum is σ = 337753888862208. Its totient is φ = 137876586946560.

The previous prime is 220103022220091. The next prime is 220103022220223. The reversal of 220103022220101 is 101022220301022.

220103022220101 is a `hidden beast` number, since 220 + 1 + 0 + 302 + 22 + 20 + 101 = 666.

It is not a de Polignac number, because 220103022220101 - 218 = 220103021957957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220103022290101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16515564900 + ... + 16515578226.

It is an arithmetic number, because the mean of its divisors is an integer number (3518269675648).

Almost surely, 2220103022220101 is an apocalyptic number.

It is an amenable number.

220103022220101 is a deficient number, since it is larger than the sum of its proper divisors (117650866642107).

220103022220101 is a wasteful number, since it uses less digits than its factorization.

220103022220101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16611 (or 16608 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 220103022220101 its reverse (101022220301022), we get a palindrome (321125242521123).

The spelling of 220103022220101 in words is "two hundred twenty trillion, one hundred three billion, twenty-two million, two hundred twenty thousand, one hundred one".

Divisors: 1 3 9 31 37 93 111 279 333 617 1147 1851 2593 3441 5553 7779 10323 13327 19127 22829 23337 39981 57381 68487 80383 95941 119943 172143 205461 241149 287823 413137 493099 707699 723447 863469 1239411 1479297 1599881 2123097 2974171 3718233 4437891 4799643 6369291 8222759 8922513 14398929 15286069 24668277 26767539 34556911 45858207 49596311 59195597 74004831 103670733 137574621 148788933 177586791 254905529 304242083 311012199 446366799 532760373 764716587 912726249 1071264241 1278605707 1835063507 2294149761 2738178747 3213792723 3835817121 5505190521 9431504573 9641378169 11507451363 16515571563 21321614087 28294513719 39636776917 63964842261 84883541157 118910330751 191894526783 356730992253 660970036697 788899721219 1982910110091 2366699163657 5948730330273 7100097490971 24455891357789 73367674073367 220103022220101