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103110022232 = 23722919514649
BaseRepresentation
bin110000000000111010…
…1100001010001011000
3100212010220200211201022
41200001311201101120
53142132131202412
6115211301342012
710310106504500
oct1400165412130
9325126624638
10103110022232
113a801a12908
1217b97407908
139952c36499
144dc2106a00
152a372b2a72
hex1801d61458

103110022232 has 96 divisors (see below), whose sum is σ = 232819920000. Its totient is φ = 42635174400.

The previous prime is 103110022159. The next prime is 103110022247. The reversal of 103110022232 is 232220011301.

It is a self number, because there is not a number n which added to its sum of digits gives 103110022232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22176644 + ... + 22181292.

It is an arithmetic number, because the mean of its divisors is an integer number (2425207500).

Almost surely, 2103110022232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103110022232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116409960000).

103110022232 is an abundant number, since it is smaller than the sum of its proper divisors (129709897768).

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

103110022232 is a wasteful number, since it uses less digits than its factorization.

103110022232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6649 (or 6638 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 103110022232 its reverse (232220011301), we get a palindrome (335330033533).

The spelling of 103110022232 in words is "one hundred three billion, one hundred ten million, twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 196 203 232 392 406 812 1421 1624 1951 2842 3902 4649 5684 7804 9298 11368 13657 15608 18596 27314 32543 37192 54628 56579 65086 95599 109256 113158 130172 134821 191198 226316 227801 260344 269642 382396 396053 452632 455602 539284 764792 792106 911204 943747 1078568 1584212 1822408 1887494 2772371 3168424 3774988 5544742 6606229 7549976 9070199 11089484 13212458 18140398 22178968 26424916 36280796 52849832 63491393 72561592 126982786 253965572 263035771 444439751 507931144 526071542 888879502 1052143084 1777759004 1841250397 2104286168 3555518008 3682500794 7365001588 12888752779 14730003176 25777505558 51555011116 103110022232