Search a number
-
+
123310302033310 = 25721721945830209
BaseRepresentation
bin11100000010011001101010…
…101111111111010110011110
3121011121100102222001212001221
4130002121222233333112132
5112130303444310031220
61114131545401523554
734654606144204300
oct3402315257772636
9534540388055057
10123310302033310
11363216728942a7
12119b64427a35ba
1353a615b206072
1422643713ad970
15e3c8b5bc79aa
hex70266abff59e

123310302033310 has 144 divisors (see below), whose sum is σ = 288713824124400. Its totient is φ = 37696629325824.

The previous prime is 123310302033227. The next prime is 123310302033313. The reversal of 123310302033310 is 13330203013321.

It is a super-2 number, since 2×1233103020333102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123310302033313) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20224515 + ... + 25605694.

It is an arithmetic number, because the mean of its divisors is an integer number (2004957111975).

Almost surely, 2123310302033310 is an apocalyptic number.

123310302033310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123310302033310 is an abundant number, since it is smaller than the sum of its proper divisors (165403522091090).

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

123310302033310 is a wasteful number, since it uses less digits than its factorization.

123310302033310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45830283 (or 45830259 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 123310302033310 its reverse (13330203013321), we get a palindrome (136640505046631).

The spelling of 123310302033310 in words is "one hundred twenty-three trillion, three hundred ten billion, three hundred two million, thirty-three thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 17 19 34 35 38 49 70 85 95 98 119 133 170 190 238 245 266 289 323 490 578 595 646 665 833 931 1190 1330 1445 1615 1666 1862 2023 2261 2890 3230 4046 4165 4522 4655 5491 8330 9310 10115 10982 11305 14161 15827 20230 22610 27455 28322 31654 38437 54910 70805 76874 79135 141610 158270 192185 269059 384370 538118 1345295 2690590 45830209 91660418 229151045 320811463 458302090 641622926 779113553 870773971 1558227106 1604057315 1741547942 2245680241 3208114630 3895567765 4353869855 4491360482 5453794871 6095417797 7791135530 8707739710 10907589742 11228401205 12190835594 13244930401 14803157507 22456802410 26489860802 27268974355 29606315014 30477088985 38176564097 42667924579 54537948710 60954177970 66224652005 74015787535 76353128194 85335849158 92714512807 103622102549 132449304010 148031575070 185429025614 190882820485 207244205098 213339622895 251653677619 381765640970 426679245790 463572564035 503307355238 518110512745 649001589649 725354717843 927145128070 1036221025490 1258268388095 1298003179298 1450709435686 1761575743333 2516536776190 3245007948245 3523151486666 3626773589215 6490015896490 7253547178430 8807878716665 12331030203331 17615757433330 24662060406662 61655151016655 123310302033310