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13120342404420 = 22351375992664689
BaseRepresentation
bin1011111011101101000101…
…0110010010110101000100
31201110021220012222002100010
42332323101112102311010
53204430430123420140
643523222503550220
72522625213224406
oct276732126226504
951407805862303
1013120342404420
1141a9340271379
12157a98815b370
13742320a99644
14335056a1cb76
1517b454725880
hexbeed1592d44

13120342404420 has 96 divisors (see below), whose sum is σ = 37066903776000. Its totient is φ = 3467419930624.

The previous prime is 13120342404329. The next prime is 13120342404487. The reversal of 13120342404420 is 2440424302131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3591436 + ... + 6256124.

It is an arithmetic number, because the mean of its divisors is an integer number (386113581000).

Almost surely, 213120342404420 is an apocalyptic number.

13120342404420 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 13120342404420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18533451888000).

13120342404420 is an abundant number, since it is smaller than the sum of its proper divisors (23946561371580).

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

13120342404420 is a wasteful number, since it uses less digits than its factorization.

13120342404420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665437 (or 2665435 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 13120342404420 its reverse (2440424302131), we get a palindrome (15560766706551).

The spelling of 13120342404420 in words is "thirteen trillion, one hundred twenty billion, three hundred forty-two million, four hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 599 685 822 1198 1370 1644 1797 2055 2396 2740 2995 3594 4110 5990 7188 8220 8985 11980 17970 35940 82063 164126 246189 328252 410315 492378 820630 984756 1230945 1641260 2461890 2664689 4923780 5329378 7994067 10658756 13323445 15988134 26646890 31976268 39970335 53293780 79940670 159881340 365062393 730124786 1095187179 1460249572 1596148711 1825311965 2190374358 3192297422 3650623930 4380748716 4788446133 5475935895 6384594844 7301247860 7980743555 9576892266 10951871790 15961487110 19153784532 21903743580 23942230665 31922974220 47884461330 95768922660 218672373407 437344746814 656017120221 874689493628 1093361867035 1312034240442 2186723734070 2624068480884 3280085601105 4373447468140 6560171202210 13120342404420