Search a number
-
+
130750646057031 = 371121317232834271
BaseRepresentation
bin11101101110101011000001…
…110011111111100001000111
3122010221122021022222221202210
4131232223001303333201013
5114114204310342311111
61142030003444034503
736353264620003110
oct3556530163774107
9563848238887683
10130750646057031
1138730046045100
12127b8426992a33
1357c596b5951c0
142440517929207
15101b1ceab00a6
hex76eac1cff847

130750646057031 has 96 divisors (see below), whose sum is σ = 249717550731264. Its totient is φ = 59009517388800.

The previous prime is 130750646056903. The next prime is 130750646057107.

130750646057031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 130750646057031 - 27 = 130750646056903 is a prime.

It is a super-2 number, since 2×1307506460570312 (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 (130750646057231) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115855575 + ... + 116978696.

It is an arithmetic number, because the mean of its divisors is an integer number (2601224486784).

Almost surely, 2130750646057031 is an apocalyptic number.

130750646057031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130750646057031 is a deficient number, since it is larger than the sum of its proper divisors (118966904674233).

130750646057031 is a wasteful number, since it uses less digits than its factorization.

130750646057031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232834333 (or 232834322 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 48.

The spelling of 130750646057031 in words is "one hundred thirty trillion, seven hundred fifty billion, six hundred forty-six million, fifty-seven thousand, thirty-one".

Divisors: 1 3 7 11 13 17 21 33 39 51 77 91 119 121 143 187 221 231 273 357 363 429 561 663 847 1001 1309 1547 1573 2057 2431 2541 3003 3927 4641 4719 6171 7293 11011 14399 17017 26741 33033 43197 51051 80223 187187 561561 232834271 698502813 1629839897 2561176981 3026845523 3958182607 4889519691 7683530943 9080536569 11874547821 17928238867 21187918661 27707278249 28172946791 33295300753 43540008677 51456373891 53784716601 63563755983 83121834747 84518840373 99885902259 130620026031 154369121673 197210627537 233067105271 304780060739 360194617237 366248308283 478940095447 566020112801 591631882611 699201315813 914340182217 1080583851711 1098744924849 1436820286341 1698060338403 2563738157981 3352580668129 3962140789607 6226221240811 7691214473943 10057742004387 11886422368821 18678663722433 43583548685677 130750646057031