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103221323322 = 23136722787011
BaseRepresentation
bin110000000100001111…
…0000110011000111010
3100212102200010112002220
41200020132012120322
53142344124321242
6115230315104510
710312630525455
oct1401036063072
9325380115086
10103221323322
113a859822a87
1218008742136
139970005b10
144dd2bda49c
152a41e4abec
hex180878663a

103221323322 has 64 divisors (see below), whose sum is σ = 226637720064. Its totient is φ = 31148187840.

The previous prime is 103221323311. The next prime is 103221323339. The reversal of 103221323322 is 223323122301.

It is a super-2 number, since 2×1032213233222 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103221323292 and 103221323301.

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, 1142797 + ... + 1229807.

It is an arithmetic number, because the mean of its divisors is an integer number (3541214376).

Almost surely, 2103221323322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103221323322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113318860032).

103221323322 is an abundant number, since it is smaller than the sum of its proper divisors (123416396742).

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

103221323322 is a wasteful number, since it uses less digits than its factorization.

103221323322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87323.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 103221323322 its reverse (223323122301), we get a palindrome (326544445623).

The spelling of 103221323322 in words is "one hundred three billion, two hundred twenty-one million, three hundred twenty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 67 78 134 201 227 402 454 681 871 1362 1742 2613 2951 5226 5902 8853 15209 17706 30418 45627 87011 91254 174022 197717 261033 395434 522066 593151 1131143 1186302 2262286 3393429 5829737 6786858 11659474 17489211 19751497 34978422 39502994 59254491 75786581 118508982 151573162 227359743 256769461 454719486 513538922 770308383 1323350299 1540616766 2646700598 3970050897 7940101794 17203553887 34407107774 51610661661 103221323322