Search a number
-
+
134103005816010 = 23571161951692611
BaseRepresentation
bin11110011111011101001010…
…000001100110010011001010
3122120211010022001022121100120
4132133131022001212103022
5120034120423442103020
61153114023112044110
740150423332541230
oct3637351201462312
9576733261277316
10134103005816010
11398028467a7a60
121305a089393636
1359a9b2282cbba
14251889783a950
1510784d85d0740
hex79f74a0664ca

134103005816010 has 128 divisors (see below), whose sum is σ = 407842158716928. Its totient is φ = 27408747168000.

The previous prime is 134103005815997. The next prime is 134103005816011. The reversal of 134103005816010 is 10618500301431.

134103005816010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (134103005816011) 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, 475705396 + ... + 475987215.

It is an arithmetic number, because the mean of its divisors is an integer number (3186266864976).

Almost surely, 2134103005816010 is an apocalyptic number.

134103005816010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

134103005816010 is an abundant number, since it is smaller than the sum of its proper divisors (273739152900918).

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

134103005816010 is a wasteful number, since it uses less digits than its factorization.

134103005816010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951692700.

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 134103005816010 in words is "one hundred thirty-four trillion, one hundred three billion, five million, eight hundred sixteen thousand, ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 61 66 70 77 105 110 122 154 165 183 210 231 305 330 366 385 427 462 610 671 770 854 915 1155 1281 1342 1830 2013 2135 2310 2562 3355 4026 4270 4697 6405 6710 9394 10065 12810 14091 20130 23485 28182 46970 70455 140910 951692611 1903385222 2855077833 4758463055 5710155666 6661848277 9516926110 10468618721 13323696554 14275389165 19985544831 20937237442 28550778330 31405856163 33309241385 39971089662 52343093605 58053249271 62811712326 66618482770 73280331047 99927724155 104686187210 116106498542 146560662094 157029280815 174159747813 199855448310 219840993141 290266246355 314058561630 348319495626 366401655235 406372744897 439681986282 580532492710 638585741981 732803310470 812745489794 870798739065 1099204965705 1219118234691 1277171483962 1741597478130 1915757225943 2031863724485 2198409931410 2438236469382 3192928709905 3831514451886 4063727448970 4470100193867 6095591173455 6385857419810 8940200387734 9578786129715 12191182346910 13410300581601 19157572259430 22350500969335 26820601163202 44701001938670 67051502908005 134103005816010