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13103414430 = 2355938919031
BaseRepresentation
bin11000011010000011…
…00011110010011110
31020211012101102101120
430031001203302132
5203313433230210
610004123351410
7642500120301
oct141501436236
936735342346
1013103414430
115614599227
122658382566
13130a93c682
148c43a8b38
1551a57d270
hex30d063c9e

13103414430 has 64 divisors (see below), whose sum is σ = 32065113600. Its totient is φ = 3426008960.

The previous prime is 13103414369. The next prime is 13103414431. The reversal of 13103414430 is 3441430131.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13103414430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13103414431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 679015 + ... + 698045.

It is an arithmetic number, because the mean of its divisors is an integer number (501017400).

Almost surely, 213103414430 is an apocalyptic number.

13103414430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13103414430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16032556800).

13103414430 is an abundant number, since it is smaller than the sum of its proper divisors (18961699170).

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

13103414430 is a wasteful number, since it uses less digits than its factorization.

13103414430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19489.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13103414430 its reverse (3441430131), we get a palindrome (16544844561).

The spelling of 13103414430 in words is "thirteen billion, one hundred three million, four hundred fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 295 354 389 590 778 885 1167 1770 1945 2334 3890 5835 11670 19031 22951 38062 45902 57093 68853 95155 114186 114755 137706 190310 229510 285465 344265 570930 688530 1122829 2245658 3368487 5614145 6736974 7403059 11228290 14806118 16842435 22209177 33684870 37015295 44418354 74030590 111045885 222091770 436780481 873560962 1310341443 2183902405 2620682886 4367804810 6551707215 13103414430