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103322030002230 = 235132355032093153
BaseRepresentation
bin10111011111100010001000…
…111001010101000000110110
3111112211111012220211220021110
4113133202020321111000312
5102020312004140032410
61003425252454455450
730522525136225524
oct2737421071250066
9445744186756243
10103322030002230
112aa15699377966
12b708602964586
1345862c18cc710
141b72b5499b314
15be299a77a720
hex5df888e55036

103322030002230 has 128 divisors (see below), whose sum is σ = 278709248950272. Its totient is φ = 24322895106048.

The previous prime is 103322030002187. The next prime is 103322030002259. The reversal of 103322030002230 is 32200030223301.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103322030002197 and 103322030002206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48315334 + ... + 50408486.

It is an arithmetic number, because the mean of its divisors is an integer number (2177416007424).

Almost surely, 2103322030002230 is an apocalyptic number.

103322030002230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103322030002230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139354624475136).

103322030002230 is an abundant number, since it is smaller than the sum of its proper divisors (175387218948042).

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

103322030002230 is a wasteful number, since it uses less digits than its factorization.

103322030002230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098702.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 103322030002230 its reverse (32200030223301), we get a palindrome (135522060225531).

The spelling of 103322030002230 in words is "one hundred three trillion, three hundred twenty-two billion, thirty million, two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 23 26 30 39 46 65 69 78 115 130 138 195 230 299 345 390 598 690 897 1495 1794 2990 4485 5503 8970 11006 16509 27515 33018 55030 71539 82545 126569 143078 165090 214617 253138 357695 379707 429234 632845 715390 759414 1073085 1265690 1645397 1898535 2093153 2146170 3290794 3797070 4186306 4936191 6279459 8226985 9872382 10465765 12558918 16453970 20931530 24680955 27210989 31397295 48142519 49361910 54421978 62794590 81632967 96285038 136054945 144427557 163265934 240712595 272109890 288855114 408164835 481425190 625852747 722137785 816329670 1251705494 1444275570 1877558241 3129263735 3755116482 6258527470 9387791205 11518620959 18775582410 23037241918 34555862877 57593104795 69111725754 115186209590 149742072467 172779314385 264928282057 299484144934 345558628770 449226217401 529856564114 748710362335 794784846171 898452434802 1324641410285 1497420724670 1589569692342 2246131087005 2649282820570 3444067666741 3973924230855 4492262174010 6888135333482 7947848461710 10332203000223 17220338333705 20664406000446 34440676667410 51661015001115 103322030002230