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13123310130 = 232571912571
BaseRepresentation
bin11000011100011010…
…11101001000110010
31020212120211020011100
430032031131020302
5203334031411010
610010114025230
7643131203250
oct141615351062
936776736140
1013123310130
115624848157
122662b78216
131311ab7488
148c6ca75d0
1551c1ad2c0
hex30e35d232

13123310130 has 144 divisors (see below), whose sum is σ = 39268861632. Its totient is φ = 2978683200.

The previous prime is 13123310119. The next prime is 13123310131. The reversal of 13123310130 is 3101332131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13123310131) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22982745 + ... + 22983315.

It is an arithmetic number, because the mean of its divisors is an integer number (272700428).

Almost surely, 213123310130 is an apocalyptic number.

13123310130 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 13123310130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19634430816).

13123310130 is an abundant number, since it is smaller than the sum of its proper divisors (26145551502).

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

13123310130 is a wasteful number, since it uses less digits than its factorization.

13123310130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13123310130 its reverse (3101332131), we get a palindrome (16224642261).

The spelling of 13123310130 in words is "thirteen billion, one hundred twenty-three million, three hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 191 210 315 382 571 573 630 955 1142 1146 1337 1713 1719 1910 2674 2855 2865 3426 3438 3997 4011 5139 5710 5730 6685 7994 8022 8565 8595 10278 11991 12033 13370 17130 17190 19985 20055 23982 24066 25695 35973 36481 39970 40110 51390 59955 60165 71946 72962 109061 109443 119910 120330 179865 182405 218122 218886 255367 327183 328329 359730 364810 510734 545305 547215 654366 656658 763427 766101 981549 1090610 1094430 1276835 1526854 1532202 1635915 1641645 1963098 2290281 2298303 2553670 3271830 3283290 3817135 3830505 4580562 4596606 4907745 6870843 7634270 7661010 9815490 11451405 11491515 13741686 20830651 22902810 22983030 34354215 41661302 62491953 68708430 104153255 124983906 145814557 187475859 208306510 291629114 312459765 374951718 437443671 624919530 729072785 874887342 937379295 1312331013 1458145570 1874758590 2187218355 2624662026 4374436710 6561655065 13123310130