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13100014200420 = 22325721485262381
BaseRepresentation
bin1011111010100001010110…
…1100010110011001100100
31201101100102111212022211200
42332220111230112121210
53204112312113403140
643510021412002500
72521305364312500
oct276502554263144
951340374768750
1013100014200420
1141a0759554884
121576a54300430
137404313ca574
14334088d01300
1517ab64c79030
hexbea15b16664

13100014200420 has 108 divisors (see below), whose sum is σ = 46224335852604. Its totient is φ = 2994288958080.

The previous prime is 13100014200401. The next prime is 13100014200431. The reversal of 13100014200420 is 2400241000131.

13100014200420 is a `hidden beast` number, since 1 + 3 + 100 + 0 + 142 + 0 + 0 + 420 = 666.

13100014200420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6940990699776 + 6159023500644 = 2634576^2 + 2481738^2 .

It is a super-2 number, since 2×131000142004202 (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 = 13100014200393 and 13100014200402.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 742622371 + ... + 742640010.

Almost surely, 213100014200420 is an apocalyptic number.

13100014200420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13100014200420 is an abundant number, since it is smaller than the sum of its proper divisors (33124321652184).

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

13100014200420 is a wasteful number, since it uses less digits than its factorization.

13100014200420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485262410 (or 1485262398 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13100014200420 its reverse (2400241000131), we get a palindrome (15500255200551).

The spelling of 13100014200420 in words is "thirteen trillion, one hundred billion, fourteen million, two hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 1485262381 2970524762 4455787143 5941049524 7426311905 8911574286 10396836667 13367361429 14852623810 17823148572 20793673334 22278935715 26734722858 29705247620 31190510001 41587346668 44557871430 51984183335 53469445716 62381020002 66836807145 72777856669 89115742860 93571530003 103968366670 124762040004 133673614290 145555713338 155952550005 187143060006 207936733340 218333570007 267347228580 291111426676 311905100010 363889283345 374286120012 436667140014 467857650015 623810200020 655000710021 727778566690 873334280028 935715300030 1091667850035 1310001420042 1455557133380 1871430600060 2183335700070 2620002840084 3275003550105 4366671400140 6550007100210 13100014200420