Search a number
-
+
103003221222 = 2321110312739769
BaseRepresentation
bin101111111101101111…
…0000110110011100110
3100211212110201210021100
41133323132012303212
53141422311034342
6115152524300530
710304341635336
oct1377336066346
9324773653240
10103003221222
113a7576a6710
1217b676a1746
139936a81215
144db1c650c6
152a2cc17e4c
hex17fb786ce6

103003221222 has 96 divisors (see below), whose sum is σ = 247767736320. Its totient is φ = 30665900160.

The previous prime is 103003221199. The next prime is 103003221259. The reversal of 103003221222 is 222122300301.

103003221222 is a `hidden beast` number, since 10 + 300 + 322 + 12 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103003221195 and 103003221204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2570154 + ... + 2609922.

It is an arithmetic number, because the mean of its divisors is an integer number (2580913920).

Almost surely, 2103003221222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103003221222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123883868160).

103003221222 is an abundant number, since it is smaller than the sum of its proper divisors (144764515098).

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

103003221222 is a wasteful number, since it uses less digits than its factorization.

103003221222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40018 (or 40015 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103003221222 its reverse (222122300301), we get a palindrome (325125521523).

The spelling of 103003221222 in words is "one hundred three billion, three million, two hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 103 127 198 206 254 309 381 618 762 927 1133 1143 1397 1854 2266 2286 2794 3399 4191 6798 8382 10197 12573 13081 20394 25146 26162 39243 39769 78486 79538 117729 119307 143891 235458 238614 287782 357921 431673 437459 715842 863346 874918 1295019 1312377 2590038 2624754 3937131 4096207 5050663 7874262 8192414 10101326 12288621 15151989 24577242 30303978 36865863 45058277 45455967 55557293 73731726 90116554 90911934 111114586 135174831 166671879 270349662 333343758 405524493 500015637 520218289 811048986 1000031274 1040436578 1560654867 3121309734 4681964601 5722401179 9363929202 11444802358 17167203537 34334407074 51501610611 103003221222