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13024031020 = 22571121359141
BaseRepresentation
bin11000010000100101…
…01111000100101100
31020121200000022211021
430020102233010230
5203133122443040
65552210103524
7640514302630
oct141022570454
936550008737
1013024031020
1155837a9300
12263587aba4
1312c7366b40
148b7a22dc0
155135ec24a
hex3084af12c

13024031020 has 144 divisors (see below), whose sum is σ = 37001127744. Its totient is φ = 3747110400.

The previous prime is 13024030997. The next prime is 13024031029. The reversal of 13024031020 is 2013042031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13024030985 and 13024031003.

It is not an unprimeable number, because it can be changed into a prime (13024031029) 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, 190650 + ... + 249790.

It is an arithmetic number, because the mean of its divisors is an integer number (256952276).

Almost surely, 213024031020 is an apocalyptic number.

13024031020 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 13024031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18500563872).

13024031020 is an abundant number, since it is smaller than the sum of its proper divisors (23977096724).

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

13024031020 is a wasteful number, since it uses less digits than its factorization.

13024031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59192 (or 59179 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13024031020 its reverse (2013042031), we get a palindrome (15037073051).

The spelling of 13024031020 in words is "thirteen billion, twenty-four million, thirty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 121 130 140 143 154 182 220 242 260 286 308 364 385 455 484 572 605 715 770 847 910 1001 1210 1430 1540 1573 1694 1820 2002 2420 2860 3146 3388 4004 4235 5005 6292 7865 8470 10010 11011 15730 16940 20020 22022 31460 44044 55055 59141 110110 118282 220220 236564 295705 413987 591410 650551 768833 827974 1182820 1301102 1537666 1655948 2069935 2602204 3075332 3252755 3844165 4139870 4553857 5381831 6505510 7156061 7688330 8279740 8457163 9107714 10763662 13011020 14312122 15376660 16914326 18215428 21527324 22769285 26909155 28624244 33828652 35780305 42285815 45538570 50092427 53818310 59200141 71560610 84571630 91077140 93028793 100184854 107636620 118400282 143121220 169143260 186057586 200369708 236800564 250462135 296000705 372115172 465143965 500924270 592001410 651201551 930287930 1001848540 1184002820 1302403102 1860575860 2604806204 3256007755 6512015510 13024031020