Search a number
-
+
10130013213124 = 227794643986339
BaseRepresentation
bin1001001101101001001111…
…0101101101000111000100
31022212102100001000210110011
42103122103311231013010
52311432231340304444
633313355215240004
72063604112413010
oct223322365550704
938772301023404
1010130013213124
113256129408392
121177320b19004
135863439a826c
1427041c277540
15128789016734
hex93693d6d1c4

10130013213124 has 48 divisors (see below), whose sum is σ = 20520922060800. Its totient is φ = 4285551812256.

The previous prime is 10130013213071. The next prime is 10130013213143. The reversal of 10130013213124 is 42131231003101.

10130013213124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10130013213095 and 10130013213104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9777147 + ... + 10763485.

It is an arithmetic number, because the mean of its divisors is an integer number (427519209600).

Almost surely, 210130013213124 is an apocalyptic number.

10130013213124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10130013213124 is an abundant number, since it is smaller than the sum of its proper divisors (10390908847676).

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

10130013213124 is a wasteful number, since it uses less digits than its factorization.

10130013213124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991072 (or 991070 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 10130013213124 its reverse (42131231003101), we get a palindrome (52261244216225).

The spelling of 10130013213124 in words is "ten trillion, one hundred thirty billion, thirteen million, two hundred thirteen thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 79 158 316 553 1106 2212 4643 9286 18572 32501 65002 130004 366797 733594 986339 1467188 1972678 2567579 3945356 5135158 6904373 10270316 13808746 27617492 77920781 155841562 311683124 545445467 1090890934 2181781868 4579571977 9159143954 18318287908 32057003839 64114007678 128228015356 361786186183 723572372366 1447144744732 2532503303281 5065006606562 10130013213124