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13101421320 = 23325132799449
BaseRepresentation
bin11000011001110011…
…11101001100001000
31020211001122011100200
430030321331030020
5203312430440240
610004012532200
7642444146421
oct141471751410
936731564320
1013101421320
115613457829
122657781060
13130a3c2410
148c400a648
1551a2d7930
hex30ce7d308

13101421320 has 96 divisors (see below), whose sum is σ = 45854991000. Its totient is φ = 3224964096.

The previous prime is 13101421273. The next prime is 13101421327. The reversal of 13101421320 is 2312410131.

13101421320 is a `hidden beast` number, since 1 + 310 + 14 + 21 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3828886884 + 9272534436 = 61878^2 + 96294^2 .

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 = 13101421293 and 13101421302.

It is not an unprimeable number, because it can be changed into a prime (13101421327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1395045 + ... + 1404404.

Almost surely, 213101421320 is an apocalyptic number.

13101421320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13101421320 is an abundant number, since it is smaller than the sum of its proper divisors (32753569680).

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

13101421320 is a wasteful number, since it uses less digits than its factorization.

13101421320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799479 (or 2799472 counting only the distinct ones).

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

Adding to 13101421320 its reverse (2312410131), we get a palindrome (15413831451).

The spelling of 13101421320 in words is "thirteen billion, one hundred one million, four hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 2799449 5598898 8398347 11197796 13997245 16796694 22395592 25195041 27994490 33593388 36392837 41991735 50390082 55988980 67186776 72785674 83983470 100780164 109178511 111977960 125975205 145571348 167966940 181964185 201560328 218357022 251950410 291142696 327535533 335933880 363928370 436714044 503900820 545892555 655071066 727856740 873428088 1007801640 1091785110 1310142132 1455713480 1637677665 2183570220 2620284264 3275355330 4367140440 6550710660 13101421320