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30321143312310 = 232517112097176791
BaseRepresentation
bin1101110010011101100001…
…11110011110111110110110
310222100200011121111100010100
412321032300332132332312
512433240200141443220
6144253201350534530
76246426124453524
oct671166076367666
9128320147440110
1030321143312310
119730140a24884
123498535667446
1313bc36b77c836
1476b7a0589314
15378ac8792d90
hex1b93b0f9efb6

30321143312310 has 96 divisors (see below), whose sum is σ = 83473540742592. Its totient is φ = 7609901506560.

The previous prime is 30321143312297. The next prime is 30321143312329. The reversal of 30321143312310 is 1321334112303.

30321143312310 is a `hidden beast` number, since 3 + 0 + 3 + 2 + 1 + 14 + 331 + 2 + 310 = 666.

It is a super-2 number, since 2×303211433123102 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171420015 + ... + 171596805.

It is an arithmetic number, because the mean of its divisors is an integer number (869516049402).

Almost surely, 230321143312310 is an apocalyptic number.

30321143312310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30321143312310 is an abundant number, since it is smaller than the sum of its proper divisors (53152397430282).

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

30321143312310 is a wasteful number, since it uses less digits than its factorization.

30321143312310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288918 (or 288915 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 30321143312310 its reverse (1321334112303), we get a palindrome (31642477424613).

The spelling of 30321143312310 in words is "thirty trillion, three hundred twenty-one billion, one hundred forty-three million, three hundred twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 112097 176791 224194 336291 353582 530373 560485 672582 883955 1008873 1060746 1120970 1591119 1681455 1767910 1905649 2017746 2651865 3005447 3182238 3362910 3811298 5044365 5303730 5716947 6010894 7955595 9016341 9528245 10088730 11433894 15027235 15911190 17150841 18032682 19056490 27049023 28584735 30054470 34301682 45081705 54098046 57169470 85754205 90163410 135245115 171508410 270490230 19817740727 39635481454 59453222181 99088703635 118906444362 178359666543 198177407270 297266110905 336901592359 356719333086 594532221810 673803184718 891798332715 1010704777077 1684507961795 1783596665430 2021409554154 3032114331231 3369015923590 5053523885385 6064228662462 10107047770770 15160571656155 30321143312310