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13130421110120 = 23517366814681
BaseRepresentation
bin1011111100010010101000…
…0101100000010101101000
31201111020220121211101101102
42333010222011200111220
53210112100301010440
643532010541340532
72523433034632136
oct277045205402550
951436817741342
1013130421110120
114202642453116
12158091b567748
13743268b83022
143357313cc756
1517b84447db15
hexbf12a160568

13130421110120 has 64 divisors (see below), whose sum is σ = 31389537603600. Its totient is φ = 4943217285120.

The previous prime is 13130421110117. The next prime is 13130421110153. The reversal of 13130421110120 is 2101112403131.

It can be written as a sum of positive squares in 8 ways, for example, as 10540658303044 + 2589762807076 = 3246638^2 + 1609274^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13130421110092 and 13130421110101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33210821 + ... + 33603860.

Almost surely, 213130421110120 is an apocalyptic number.

13130421110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13130421110120 is an abundant number, since it is smaller than the sum of its proper divisors (18259116493480).

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

13130421110120 is an equidigital number, since it uses as much as digits as its factorization.

13130421110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66814743 (or 66814705 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 13130421110120 its reverse (2101112403131), we get a palindrome (15231533513251).

The spelling of 13130421110120 in words is "thirteen trillion, one hundred thirty billion, four hundred twenty-one million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 1156 1445 2312 2890 4913 5780 9826 11560 19652 24565 39304 49130 98260 196520 66814681 133629362 267258724 334073405 534517448 668146810 1135849577 1336293620 2271699154 2672587240 4543398308 5679247885 9086796616 11358495770 19309442809 22716991540 38618885618 45433983080 77237771236 96547214045 154475542472 193094428090 328260527753 386188856180 656521055506 772377712360 1313042111012 1641302638765 2626084222024 3282605277530 6565210555060 13130421110120