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13120342031020 = 22574114531573141
BaseRepresentation
bin1011111011101101000101…
…0100110111101010101100
31201110021220012021010010111
42332323101110313222230
53204430430024443040
643523222451545404
72522625210110650
oct276732124675254
951407805233114
1013120342031020
1141a9340036884
12157a987bbb264
137423209986b3
14335056962a60
1517b45469edea
hexbeed1537aac

13120342031020 has 96 divisors (see below), whose sum is σ = 32279061580416. Its totient is φ = 4385662617600.

The previous prime is 13120342031011. The next prime is 13120342031059. The reversal of 13120342031020 is 2013024302131.

It is a junction number, because it is equal to n+sod(n) for n = 13120342030982 and 13120342031000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7553650 + ... + 9126790.

It is an arithmetic number, because the mean of its divisors is an integer number (336240224796).

Almost surely, 213120342031020 is an apocalyptic number.

13120342031020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13120342031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16139530790208).

13120342031020 is an abundant number, since it is smaller than the sum of its proper divisors (19158719549396).

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

13120342031020 is a wasteful number, since it uses less digits than its factorization.

13120342031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574651 (or 1574649 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13120342031020 its reverse (2013024302131), we get a palindrome (15133366333151).

The spelling of 13120342031020 in words is "thirteen trillion, one hundred twenty billion, three hundred forty-two million, thirty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1148 1435 1453 2870 2906 5740 5812 7265 10171 14530 20342 29060 40684 50855 59573 101710 119146 203420 238292 297865 417011 595730 834022 1191460 1573141 1668044 2085055 3146282 4170110 6292564 7865705 8340220 11011987 15731410 22023974 31462820 44047948 55059935 64498781 110119870 128997562 220239740 257995124 322493905 451491467 644987810 902982934 1289975620 1805965868 2257457335 2285773873 4514914670 4571547746 9029829340 9143095492 11428869365 16000417111 22857738730 32000834222 45715477460 64001668444 80002085555 93716728793 160004171110 187433457586 320008342220 374866915172 468583643965 656017101551 937167287930 1312034203102 1874334575860 2624068406204 3280085507755 6560171015510 13120342031020