Search a number
-
+
13130345402524 = 2271725992708903
BaseRepresentation
bin1011111100010010010110…
…0100101101000010011100
31201111020201100101001002101
42333010211210231002130
53210111421410340044
643531555234534444
72523431125264240
oct277044544550234
951436640331071
1013130345402524
114202603743959
1215808ba137424
1374325629662c
14335725322420
1517b83c9c6cd4
hexbf12592d09c

13130345402524 has 72 divisors (see below), whose sum is σ = 27942886540800. Its totient is φ = 5287429964544.

The previous prime is 13130345402513. The next prime is 13130345402539. The reversal of 13130345402524 is 42520454303131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3492657 + ... + 6201559.

It is an arithmetic number, because the mean of its divisors is an integer number (388095646400).

Almost surely, 213130345402524 is an apocalyptic number.

13130345402524 is a gapful number since it is divisible by the number (14) 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 13130345402524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13971443270400).

13130345402524 is an abundant number, since it is smaller than the sum of its proper divisors (14812541138276).

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

13130345402524 is a wasteful number, since it uses less digits than its factorization.

13130345402524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709547 (or 2709528 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

Adding to 13130345402524 its reverse (42520454303131), we get a palindrome (55650799705655).

The spelling of 13130345402524 in words is "thirteen trillion, one hundred thirty billion, three hundred forty-five million, four hundred two thousand, five hundred twenty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 289 476 578 599 1156 1198 2023 2396 4046 4193 8092 8386 10183 16772 20366 40732 71281 142562 173111 285124 346222 692444 1211777 2423554 2708903 4847108 5417806 10835612 18962321 37924642 46051351 75849284 92102702 184205404 322359457 644718914 782872967 1289437828 1565745934 1622632897 3131491868 3245265794 5480110769 6490531588 10960221538 11358430279 21920443076 22716860558 27584759249 45433721116 55169518498 110339036996 193093314743 386186629486 468940907233 772373258972 937881814466 1875763628932 3282586350631 6565172701262 13130345402524