Search a number
-
+
134103000680 = 235111574614211
BaseRepresentation
bin111110011100100101…
…0010110011001101000
3110211010212110021102222
41330321022112121220
54144120332010210
6141334524413212
712455124461315
oct1747112263150
9424125407388
10134103000680
1151966714290
1221ba69a7208
13c851c4a79c
1466c2391d0c
15374d182655
hex1f39296668

134103000680 has 128 divisors (see below), whose sum is σ = 332055884160. Its totient is φ = 48337536000.

The previous prime is 134103000637. The next prime is 134103000739. The reversal of 134103000680 is 86000301431.

It is a super-2 number, since 2×1341030006802 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31843775 + ... + 31847985.

It is an arithmetic number, because the mean of its divisors is an integer number (2594186595).

Almost surely, 2134103000680 is an apocalyptic number.

134103000680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134103000680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166027942080).

134103000680 is an abundant number, since it is smaller than the sum of its proper divisors (197952883480).

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

134103000680 is a wasteful number, since it uses less digits than its factorization.

134103000680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4851 (or 4847 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 134103000680 in words is "one hundred thirty-four billion, one hundred three million, six hundred eighty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 157 220 314 440 461 628 785 922 1256 1570 1727 1844 2305 3140 3454 3688 4211 4610 5071 6280 6908 8422 8635 9220 10142 13816 16844 17270 18440 20284 21055 25355 33688 34540 40568 42110 46321 50710 69080 72377 84220 92642 101420 144754 168440 185284 202840 231605 289508 361885 370568 463210 579016 661127 723770 796147 926420 1322254 1447540 1592294 1852840 1941271 2644508 2895080 3184588 3305635 3882542 3980735 5289016 6369176 6611270 7272397 7765084 7961470 9706355 13222540 14544794 15530168 15922940 19412710 21353981 26445080 29089588 31845880 36361985 38825420 42707962 58179176 72723970 77650840 85415924 106769905 145447940 170831848 213539810 290895880 304779547 427079620 609559094 854159240 1219118188 1523897735 2438236376 3047795470 3352575017 6095590940 6705150034 12191181880 13410300068 16762875085 26820600136 33525750170 67051500340 134103000680