Search a number
-
+
103221032202 = 232298310392293
BaseRepresentation
bin110000000100001110…
…0111111010100001010
3100212102122120201202200
41200020130333110022
53142344041012302
6115230304541030
710312625203641
oct1401034772412
9325378521680
10103221032202
113a859644292
1218008621776
13996cc33462
144dd2b62358
152a41dde81c
hex180873f50a

103221032202 has 96 divisors (see below), whose sum is σ = 234472492800. Its totient is φ = 32774426496.

The previous prime is 103221032177. The next prime is 103221032237. The reversal of 103221032202 is 202230122301.

103221032202 is a `hidden beast` number, since 10 + 322 + 10 + 322 + 0 + 2 = 666.

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

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, 45014568 + ... + 45016860.

It is an arithmetic number, because the mean of its divisors is an integer number (2442421800).

Almost surely, 2103221032202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103221032202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117236246400).

103221032202 is an abundant number, since it is smaller than the sum of its proper divisors (131251460598).

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

103221032202 is a wasteful number, since it uses less digits than its factorization.

103221032202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3452 (or 3449 counting only the distinct ones).

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

Adding to 103221032202 its reverse (202230122301), we get a palindrome (305451154503).

Subtracting 103221032202 from its reverse (202230122301), we obtain a palindrome (99009090099).

The spelling of 103221032202 in words is "one hundred three billion, two hundred twenty-one million, thirty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 29 58 83 87 166 174 249 261 498 522 747 1039 1494 2078 2293 2407 3117 4586 4814 6234 6879 7221 9351 13758 14442 18702 20637 21663 30131 41274 43326 60262 66497 86237 90393 132994 172474 180786 190319 199491 258711 271179 380638 398982 517422 542358 570957 598473 776133 1141914 1196946 1552266 1712871 2382427 2500873 3425742 4764854 5001746 5519251 7147281 7502619 11038502 14294562 15005238 16557753 21441843 22507857 33115506 42883686 45015714 49673259 69090383 99346518 138180766 197741441 207271149 395482882 414542298 593224323 621813447 1186448646 1243626894 1779672969 3559345938 5734501789 11469003578 17203505367 34407010734 51610516101 103221032202