Search a number
-
+
103201022322 = 23367139205211
BaseRepresentation
bin110000000011101000…
…0101010000101110010
3100212101020221010101000
41200013100222011302
53142323430203242
6115224312022430
710312263134046
oct1400720520562
9325336833330
10103201022322
113a8493175a2
1218001991a16
139968a486a8
144dd0234026
152a4028aa4c
hex180742a172

103201022322 has 64 divisors (see below), whose sum is σ = 234434188800. Its totient is φ = 33642948240.

The previous prime is 103201022311. The next prime is 103201022357. The reversal of 103201022322 is 223220102301.

103201022322 is a `hidden beast` number, since 1 + 0 + 320 + 1 + 0 + 22 + 322 = 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 = 103201022295 and 103201022304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400297 + ... + 605507.

It is an arithmetic number, because the mean of its divisors is an integer number (3663034200).

Almost surely, 2103201022322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103201022322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117217094400).

103201022322 is an abundant number, since it is smaller than the sum of its proper divisors (131233166478).

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

103201022322 is a wasteful number, since it uses less digits than its factorization.

103201022322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205428 (or 205422 counting only the distinct ones).

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

Adding to 103201022322 its reverse (223220102301), we get a palindrome (326421124623).

The spelling of 103201022322 in words is "one hundred three billion, two hundred one million, twenty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 67 134 139 201 278 402 417 603 834 1206 1251 1809 2502 3618 3753 7506 9313 18626 27939 55878 83817 167634 205211 251451 410422 502902 615633 1231266 1846899 3693798 5540697 11081394 13749137 27498274 28524329 41247411 57048658 82494822 85572987 123742233 171145974 247484466 256718961 371226699 513437922 742453398 770156883 1540313766 1911130043 3822260086 5733390129 11466780258 17200170387 34400340774 51600511161 103201022322