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13000000020 = 22357139222679
BaseRepresentation
bin11000001101101110…
…00100001000010100
31020112222210102111020
430012313010020110
5203111000000040
65545551041140
7640103114460
oct140667041024
936488712436
1013000000020
115571185477
1226298101b0
1312c23a1a07
148b47694a0
15511451cd0
hex306dc4214

13000000020 has 96 divisors (see below), whose sum is σ = 41899468800. Its totient is φ = 2950038144.

The previous prime is 12999999959. The next prime is 13000000073. The reversal of 13000000020 is 2000000031.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 12999999945 and 13000000008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52960 + ... + 169719.

It is an arithmetic number, because the mean of its divisors is an integer number (436452800).

Almost surely, 213000000020 is an apocalyptic number.

13000000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13000000020 is an abundant number, since it is smaller than the sum of its proper divisors (28899468780).

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

13000000020 is a wasteful number, since it uses less digits than its factorization.

13000000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222837 (or 222835 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

Adding to 13000000020 its reverse (2000000031), we get a palindrome (15000000051).

The spelling of 13000000020 in words is "thirteen billion, twenty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 139 140 210 278 417 420 556 695 834 973 1390 1668 1946 2085 2780 2919 3892 4170 4865 5838 8340 9730 11676 14595 19460 29190 58380 222679 445358 668037 890716 1113395 1336074 1558753 2226790 2672148 3117506 3340185 4453580 4676259 6235012 6680370 7793765 9352518 13360740 15587530 18705036 23381295 30952381 31175060 46762590 61904762 92857143 93525180 123809524 154761905 185714286 216666667 309523810 371428572 433333334 464285715 619047620 650000001 866666668 928571430 1083333335 1300000002 1857142860 2166666670 2600000004 3250000005 4333333340 6500000010 13000000020