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13120030300 = 22521323523839
BaseRepresentation
bin11000011100000001…
…11100011001011100
31020212100122121002011
430032000330121130
5203332211432200
610005515441004
7643061263126
oct141600743134
936770577064
1013120030300
115622a07a53
122661a56164
131311209650
148c6692216
1551bc615ba
hex30e03c65c

13120030300 has 144 divisors (see below), whose sum is σ = 32092945920. Its totient is φ = 4619324160.

The previous prime is 13120030291. The next prime is 13120030303. The reversal of 13120030300 is 303002131.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13120030303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15637281 + ... + 15638119.

It is an arithmetic number, because the mean of its divisors is an integer number (222867680).

Almost surely, 213120030300 is an apocalyptic number.

13120030300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13120030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16046472960).

13120030300 is an abundant number, since it is smaller than the sum of its proper divisors (18972915620).

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

13120030300 is a wasteful number, since it uses less digits than its factorization.

13120030300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 13120030300 its reverse (303002131), we get a palindrome (13423032431).

The spelling of 13120030300 in words is "thirteen billion, one hundred twenty million, thirty thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 130 230 260 299 325 460 523 575 598 650 839 1046 1150 1196 1300 1495 1678 2092 2300 2615 2990 3356 4195 5230 5980 6799 7475 8390 10460 10907 12029 13075 13598 14950 16780 19297 20975 21814 24058 26150 27196 29900 33995 38594 41950 43628 48116 52300 54535 60145 67990 77188 83900 96485 109070 120290 135980 156377 169975 192970 218140 240580 250861 272675 300725 312754 339950 385940 438797 482425 501722 545350 601450 625508 679900 781885 877594 964850 1003444 1090700 1202900 1254305 1563770 1755188 1929700 2193985 2508610 3127540 3909425 4387970 5017220 5704361 6271525 7818850 8775940 10092331 10969925 11408722 12543050 15637700 20184662 21939850 22817444 25086100 28521805 40369324 43879700 50461655 57043610 100923310 114087220 131200303 142609025 201846620 252308275 262400606 285218050 504616550 524801212 570436100 656001515 1009233100 1312003030 2624006060 3280007575 6560015150 13120030300