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13100202324 = 223211435231471
BaseRepresentation
bin11000011001101010…
…10011100101010100
31020210222100020012200
430030311103211110
5203312122433244
610003530444500
7642430611456
oct141465234524
936728306180
1013100202324
1156127a49a0
122657293730
13130a086611
148c3bb02d6
1551a146669
hex30cd53954

13100202324 has 144 divisors (see below), whose sum is σ = 37060767744. Its totient is φ = 3867393600.

The previous prime is 13100202319. The next prime is 13100202341. The reversal of 13100202324 is 42320200131.

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

It is a junction number, because it is equal to n+sod(n) for n = 13100202297 and 13100202306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8904909 + ... + 8906379.

Almost surely, 213100202324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13100202324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18530383872).

13100202324 is an abundant number, since it is smaller than the sum of its proper divisors (23960565420).

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

13100202324 is a wasteful number, since it uses less digits than its factorization.

13100202324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13100202324 its reverse (42320200131), we get a palindrome (55420402455).

The spelling of 13100202324 in words is "thirteen billion, one hundred million, two hundred two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 86 99 129 132 172 198 258 387 396 473 516 523 774 946 1046 1419 1471 1548 1569 1892 2092 2838 2942 3138 4257 4413 4707 5676 5753 5884 6276 8514 8826 9414 11506 13239 16181 17028 17259 17652 18828 22489 23012 26478 32362 34518 44978 48543 51777 52956 63253 64724 67467 69036 89956 97086 103554 126506 134934 145629 189759 194172 202401 207108 247379 253012 269868 291258 379518 404802 494758 569277 582516 695783 742137 759036 769333 809604 989516 1138554 1391566 1484274 1538666 2087349 2226411 2277108 2307999 2783132 2968548 3077332 4174698 4452822 4615998 6262047 6923997 8349396 8462663 8905644 9231996 12524094 13847994 16925326 25048188 25387989 27695988 33081319 33850652 50775978 66162638 76163967 99243957 101551956 132325276 152327934 198487914 297731871 304655868 363894509 396975828 595463742 727789018 1091683527 1190927484 1455578036 2183367054 3275050581 4366734108 6550101162 13100202324