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323113322103030 = 233546120407127207
BaseRepresentation
bin100100101110111101010111…
…0110010010100000011110110
31120101001022221222012122222000
41021131322232302110003312
5314322342040424244110
63103112113323520130
7125026111222660104
oct11135725662240366
91511038858178860
10323113322103030
1193a54654864538
12302a5639989046
1310b3a5bca66384
1459b0aa8060c74
152754dbb9ed1c0
hex125deaec940f6

323113322103030 has 128 divisors (see below), whose sum is σ = 863553685800960. Its totient is φ = 85971757864320.

The previous prime is 323113322103001. The next prime is 323113322103041. The reversal of 323113322103030 is 30301223311323.

323113322103030 is a `hidden beast` number, since 3 + 2 + 3 + 1 + 1 + 332 + 21 + 0 + 303 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 323113322102985 and 323113322103003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2539995687 + ... + 2540122893.

It is an arithmetic number, because the mean of its divisors is an integer number (6746513170320).

Almost surely, 2323113322103030 is an apocalyptic number.

323113322103030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 323113322103030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431776842900480).

323113322103030 is an abundant number, since it is smaller than the sum of its proper divisors (540440363697930).

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

323113322103030 is a wasteful number, since it uses less digits than its factorization.

323113322103030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148091 (or 148085 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 323113322103030 its reverse (30301223311323), we get a palindrome (353414545414353).

The spelling of 323113322103030 in words is "three hundred twenty-three trillion, one hundred thirteen billion, three hundred twenty-two million, one hundred three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 461 922 1383 2305 2766 4149 4610 6915 8298 12447 13830 20407 20745 24894 40814 41490 61221 62235 102035 122442 124470 127207 183663 204070 254414 306105 367326 381621 550989 612210 636035 763242 918315 1101978 1144863 1272070 1836630 1908105 2289726 2754945 3434589 3816210 5509890 5724315 6869178 9407627 11448630 17172945 18815254 28222881 34345890 47038135 56445762 58642427 84668643 94076270 117284854 141114405 169337286 175927281 254005929 282228810 293212135 351854562 423343215 508011858 527781843 586424270 846686430 879636405 1055563686 1270029645 1583345529 1759272810 2540059290 2595913249 2638909215 3166691058 5191826498 5277818430 7787739747 7916727645 12979566245 15575479494 15833455290 23363219241 25959132490 38938698735 46726438482 70089657723 77877397470 116816096205 140179315446 233632192410 350448288615 700896577230 1196716007789 2393432015578 3590148023367 5983580038945 7180296046734 10770444070101 11967160077890 17950740116835 21540888140202 32311332210303 35901480233670 53852220350505 64622664420606 107704440701010 161556661051515 323113322103030