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12320113220030 = 2571146361756009
BaseRepresentation
bin1011001101000111111111…
…1110001101100110111110
31121121210100212120120110202
42303101333332031212332
53103323042441020110
642111440515203502
72411045614334330
oct263217776154676
947553325516422
1012320113220030
113a1aa26800aa0
12146b878ba6592
136b4a214b8005
14308422079450
1516571b2620a5
hexb347ff8d9be

12320113220030 has 128 divisors (see below), whose sum is σ = 27753372610560. Its totient is φ = 3825462896640.

The previous prime is 12320113220021. The next prime is 12320113220053. The reversal of 12320113220030 is 3002231102321.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12320113219984 and 12320113220011.

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 63 ways as a sum of consecutive naturals, for example, 219938666 + ... + 219994674.

It is an arithmetic number, because the mean of its divisors is an integer number (216823223520).

Almost surely, 212320113220030 is an apocalyptic number.

12320113220030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12320113220030 is an abundant number, since it is smaller than the sum of its proper divisors (15433259390530).

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

12320113220030 is a wasteful number, since it uses less digits than its factorization.

12320113220030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57114.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12320113220030 its reverse (3002231102321), we get a palindrome (15322344322351).

The spelling of 12320113220030 in words is "twelve trillion, three hundred twenty billion, one hundred thirteen million, two hundred twenty thousand, thirty".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 154 385 463 617 770 926 1234 2315 3085 3241 4319 4630 5093 6170 6482 6787 8638 10186 13574 16205 21595 25465 32410 33935 35651 43190 47509 50930 56009 67870 71302 95018 112018 178255 237545 280045 285671 356510 392063 475090 560090 571342 616099 784126 1232198 1428355 1960315 1999697 2856710 3080495 3142381 3920630 3999394 4312693 6160990 6284762 8625386 9998485 15711905 19996970 21563465 21996667 25932167 31423810 34557553 43126930 43993334 51864334 69115106 109983335 129660835 172787765 181525169 219966670 241902871 259321670 285253837 345575530 363050338 380133083 483805742 570507674 760266166 907625845 1209514355 1426269185 1815251690 1900665415 1996776859 2419028710 2660931581 2852538370 3801330830 3993553718 5321863162 9983884295 13304657905 16000147039 19967768590 26609315810 32000294078 80000735195 112001029273 160001470390 176001617429 224002058546 352003234858 560005146365 880008087145 1120010292730 1232011322003 1760016174290 2464022644006 6160056610015 12320113220030