Search a number
-
+
200130104312013 = 323431142317472707
BaseRepresentation
bin101101100000010001101011…
…110001101100000011001101
3222020121020210001211220101010
4231200101223301230003031
5202212412423200441023
61545350300052235433
760103631356603521
oct5540215361540315
9866536701756333
10200130104312013
1158849778559657
121a54267b00bb79
138789259956aa5
14375c4c4cc3d81
151820c9b15a093
hexb6046bc6c0cd

200130104312013 has 64 divisors (see below), whose sum is σ = 279547142602752. Its totient is φ = 127113817026240.

The previous prime is 200130104311987. The next prime is 200130104312057. The reversal of 200130104312013 is 310213401031002.

It is not a de Polignac number, because 200130104312013 - 28 = 200130104311757 is a prime.

It is a super-2 number, since 2×2001301043120132 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200130104314013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73930587606 + ... + 73930590312.

It is an arithmetic number, because the mean of its divisors is an integer number (4367924103168).

Almost surely, 2200130104312013 is an apocalyptic number.

200130104312013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

200130104312013 is a deficient number, since it is larger than the sum of its proper divisors (79417038290739).

200130104312013 is a wasteful number, since it uses less digits than its factorization.

200130104312013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6334.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 200130104312013 its reverse (310213401031002), we get a palindrome (510343505343015).

The spelling of 200130104312013 in words is "two hundred trillion, one hundred thirty billion, one hundred four million, three hundred twelve thousand, thirteen".

Divisors: 1 3 23 69 431 1293 1423 1747 2707 4269 5241 8121 9913 29739 32729 40181 62261 98187 120543 186783 613313 752957 1166717 1839939 2258871 2485981 3500151 3852061 4729129 7457943 11556183 14106199 14187387 17318011 26834491 42318597 51954033 57177563 80503473 88597403 108769967 171532689 265792209 326309901 1071457811 1660238291 2038254599 3214373433 4980714873 6114763797 6729550567 20188651701 24643529653 38185480693 46879855777 73930588959 114556442079 140639567331 154779663041 464338989123 2900436294377 8701308883131 66710034770671 200130104312013