Search a number
-
+
10313120210130 = 23558947686319
BaseRepresentation
bin1001011000010011010111…
…0111011101110011010010
31100111220222002011000100000
42112010311313131303102
52322432232233211010
633533440525510430
72113045506252303
oct226046567356322
940456862130300
1010313120210130
113316851550391
1211a6903112416
1359a6a522757a
1427922c96c7aa
1512d40439b7c0
hex96135dddcd2

10313120210130 has 96 divisors (see below), whose sum is σ = 28119669177600. Its totient is φ = 2719264597632.

The previous prime is 10313120210101. The next prime is 10313120210137. The reversal of 10313120210130 is 3101202131301.

10313120210130 is a `hidden beast` number, since 1 + 0 + 313 + 12 + 0 + 210 + 130 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10313120210137) 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, 23626890 + ... + 24059429.

It is an arithmetic number, because the mean of its divisors is an integer number (292913220600).

Almost surely, 210313120210130 is an apocalyptic number.

10313120210130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10313120210130 is an abundant number, since it is smaller than the sum of its proper divisors (17806548967470).

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

10313120210130 is an equidigital number, since it uses as much as digits as its factorization.

10313120210130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47686430 (or 47686418 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10313120210130 its reverse (3101202131301), we get a palindrome (13414322341431).

The spelling of 10313120210130 in words is "ten trillion, three hundred thirteen billion, one hundred twenty million, two hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 89 90 135 162 178 243 267 270 405 445 486 534 801 810 890 1215 1335 1602 2403 2430 2670 4005 4806 7209 8010 12015 14418 21627 24030 36045 43254 72090 108135 216270 47686319 95372638 143058957 238431595 286117914 429176871 476863190 715294785 858353742 1287530613 1430589570 2145884355 2575061226 3862591839 4244082391 4291768710 6437653065 7725183678 8488164782 11587775517 12732247173 12875306130 19312959195 21220411955 23175551034 25464494346 38196741519 38625918390 42440823910 57938877585 63661235865 76393483038 114590224557 115877755170 127322471730 190983707595 229180449114 343770673671 381967415190 572951122785 687541347342 1031312021013 1145902245570 1718853368355 2062624042026 3437706736710 5156560105065 10313120210130