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13023000120 = 2335138348077
BaseRepresentation
bin11000010000011101…
…10011011000111000
31020121121001221200210
430020032303120320
5203132342000440
65552132031120
7640502450244
oct141016633070
936547057623
1013023000120
115583164819
1226354624a0
1312c7095840
148b7835424
15513496a80
hex3083b3638

13023000120 has 64 divisors (see below), whose sum is σ = 42074313120. Its totient is φ = 3205661184.

The previous prime is 13023000103. The next prime is 13023000143. The reversal of 13023000120 is 2100032031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13023000096 and 13023000105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4172479 + ... + 4175598.

Almost surely, 213023000120 is an apocalyptic number.

13023000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13023000120 is an abundant number, since it is smaller than the sum of its proper divisors (29051313000).

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

13023000120 is a wasteful number, since it uses less digits than its factorization.

13023000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8348104 (or 8348100 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13023000120 its reverse (2100032031), we get a palindrome (15123032151).

The spelling of 13023000120 in words is "thirteen billion, twenty-three million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 8348077 16696154 25044231 33392308 41740385 50088462 66784616 83480770 100176924 108525001 125221155 166961540 200353848 217050002 250442310 325575003 333923080 434100004 500884620 542625005 651150006 868200008 1001769240 1085250010 1302300012 1627875015 2170500020 2604600024 3255750030 4341000040 6511500060 13023000120