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13140023401230 = 23511715273106357
BaseRepresentation
bin1011111100110110011001…
…1011010101101100001110
31201112011200211020022110220
42333031212123111230032
53210241231442314410
643540235440012210
72524223013024015
oct277154633255416
951464624208426
1013140023401230
11420671a7175a0
12158275b301066
1374413935199b
14335da27c5a7c
1517bc0747c070
hexbf3666d5b0e

13140023401230 has 128 divisors (see below), whose sum is σ = 34894463579136. Its totient is φ = 3139969459200.

The previous prime is 13140023401217. The next prime is 13140023401243. The reversal of 13140023401230 is 3210432004131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13140023401217) and next prime (13140023401243).

It is a self number, because there is not a number n which added to its sum of digits gives 13140023401230.

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, 123493212 + ... + 123599568.

It is an arithmetic number, because the mean of its divisors is an integer number (272612996712).

Almost surely, 213140023401230 is an apocalyptic number.

13140023401230 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 13140023401230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17447231789568).

13140023401230 is an abundant number, since it is smaller than the sum of its proper divisors (21754440177906).

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

13140023401230 is a wasteful number, since it uses less digits than its factorization.

13140023401230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111722.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13140023401230 its reverse (3210432004131), we get a palindrome (16350455405361).

The spelling of 13140023401230 in words is "thirteen trillion, one hundred forty billion, twenty-three million, four hundred one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 71 110 142 165 213 330 355 426 710 781 1065 1562 2130 2343 3905 4686 5273 7810 10546 11715 15819 23430 26365 31638 52730 58003 79095 106357 116006 158190 174009 212714 290015 319071 348018 374383 531785 580030 638142 748766 870045 1063570 1123149 1169927 1595355 1740090 1871915 2246298 2339854 3190710 3509781 3743830 4118213 5615745 5849635 7019562 7551347 8236426 11231490 11699270 12354639 15102694 17548905 20591065 22654041 24709278 35097810 37756735 41182130 45308082 61773195 75513470 83064817 113270205 123546390 166129634 226540410 249194451 415324085 498388902 560820461 830648170 1121640922 1245972255 1682461383 2491944510 2804102305 3364922766 5608204610 6169025071 8412306915 12338050142 16824613830 18507075213 30845125355 37014150426 39818252731 61690250710 79636505462 92535376065 119454758193 185070752130 199091263655 238909516386 398182527310 438000780041 597273790965 876001560082 1194547581930 1314002340123 2190003900205 2628004680246 4380007800410 6570011700615 13140023401230