Search a number
-
+
122211103103300 = 22527145737664839
BaseRepresentation
bin11011110010011001111101…
…011000110101100101000100
3121000201021012220100122210002
4123302121331120311211010
5112004301314343301200
61111531001122020432
734512314030360621
oct3362317530654504
9530637186318702
10122211103103300
1135a3848a735022
12118593b71a7718
1353265c4396a03
14222709846d348
15e1ded0710bd5
hex6f267d635944

122211103103300 has 72 divisors (see below), whose sum is σ = 269521760753280. Its totient is φ = 48090465158400.

The previous prime is 122211103103251. The next prime is 122211103103311. The reversal of 122211103103300 is 3301301112221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15587720 + ... + 22077119.

It is an arithmetic number, because the mean of its divisors is an integer number (3743357788240).

Almost surely, 2122211103103300 is an apocalyptic number.

122211103103300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122211103103300 is an abundant number, since it is smaller than the sum of its proper divisors (147310657649980).

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

122211103103300 is a wasteful number, since it uses less digits than its factorization.

122211103103300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37665381 (or 37665374 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 122211103103300 its reverse (3301301112221), we get a palindrome (125512404215521).

The spelling of 122211103103300 in words is "one hundred twenty-two trillion, two hundred eleven billion, one hundred three million, one hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 457 710 914 1420 1775 1828 2285 3550 4570 7100 9140 11425 22850 32447 45700 64894 129788 162235 324470 648940 811175 1622350 3244700 37664839 75329678 150659356 188324195 376648390 753296780 941620975 1883241950 2674203569 3766483900 5348407138 10696814276 13371017845 17212831423 26742035690 34425662846 53484071380 66855089225 68851325692 86064157115 133710178450 172128314230 267420356900 344256628460 430320785575 860641571150 1222111031033 1721283142300 2444222062066 4888444124132 6110555155165 12221110310330 24442220620660 30552775775825 61105551551650 122211103103300