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13131000012420 = 22325590312358123
BaseRepresentation
bin1011111100010100110010…
…0101110101111010000100
31201111022101222010200001100
42333011030211311322010
53210114242000344140
643532144221300100
72523453264341013
oct277051445657204
951438358120040
1013131000012420
11420290a200a74
121580a61404630
1374332baa2974
14335788242a7a
1517b87a1d0530
hexbf14c975e84

13131000012420 has 72 divisors (see below), whose sum is σ = 39837450796416. Its totient is φ = 3501006530112.

The previous prime is 13131000012419. The next prime is 13131000012443. The reversal of 13131000012420 is 2421000013131.

13131000012420 is a `hidden beast` number, since 131 + 3 + 100 + 0 + 0 + 12 + 420 = 666.

It is a super-2 number, since 2×131310000124202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13131000012393 and 13131000012402.

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 23 ways as a sum of consecutive naturals, for example, 5116522 + ... + 7241601.

It is an arithmetic number, because the mean of its divisors is an integer number (553297927728).

Almost surely, 213131000012420 is an apocalyptic number.

13131000012420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131000012420 is an abundant number, since it is smaller than the sum of its proper divisors (26706450783996).

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

13131000012420 is a wasteful number, since it uses less digits than its factorization.

13131000012420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12364041 (or 12364036 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13131000012420 its reverse (2421000013131), we get a palindrome (15552000025551).

The spelling of 13131000012420 in words is "thirteen trillion, one hundred thirty-one billion, twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5903 11806 17709 23612 29515 35418 53127 59030 70836 88545 106254 118060 177090 212508 265635 354180 531270 1062540 12358123 24716246 37074369 49432492 61790615 74148738 111223107 123581230 148297476 185371845 222446214 247162460 370743690 444892428 556115535 741487380 1112231070 2224462140 72950000069 145900000138 218850000207 291800000276 364750000345 437700000414 656550000621 729500000690 875400000828 1094250001035 1313100001242 1459000001380 2188500002070 2626200002484 3282750003105 4377000004140 6565500006210 13131000012420