Search a number
-
+
119612891310 = 235111771300301
BaseRepresentation
bin110111101100101111…
…0111110000010101110
3102102202000202110012120
41233121132332002232
53424431400010220
6130541023213410
711433055541433
oct1573136760256
9372660673176
10119612891310
11468003a4690
121b222147266
13b382c3a683
145b09b79b8a
1531a0edba40
hex1bd97be0ae

119612891310 has 128 divisors (see below), whose sum is σ = 336261362688. Its totient is φ = 26906880000.

The previous prime is 119612891309. The next prime is 119612891317. The reversal of 119612891310 is 13198216911.

It is a happy number.

It is a super-2 number, since 2×1196128913102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119612891317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 248160 + ... + 548460.

It is an arithmetic number, because the mean of its divisors is an integer number (2627041896).

Almost surely, 2119612891310 is an apocalyptic number.

119612891310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 119612891310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168130681344).

119612891310 is an abundant number, since it is smaller than the sum of its proper divisors (216648471378).

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

119612891310 is a wasteful number, since it uses less digits than its factorization.

119612891310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300410.

The product of its (nonzero) digits is 23328, while the sum is 42.

The spelling of 119612891310 in words is "one hundred nineteen billion, six hundred twelve million, eight hundred ninety-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 71 85 102 110 142 165 170 187 213 255 330 355 374 426 510 561 710 781 935 1065 1122 1207 1562 1870 2130 2343 2414 2805 3621 3905 4686 5610 6035 7242 7810 11715 12070 13277 18105 23430 26554 36210 39831 66385 79662 132770 199155 300301 398310 600602 900903 1501505 1801806 3003010 3303311 4504515 5105117 6606622 9009030 9909933 10210234 15315351 16516555 19819866 21321371 25525585 30630702 33033110 42642742 49549665 51051170 56156287 63964113 76576755 99099330 106606855 112312574 127928226 153153510 168468861 213213710 234535081 280781435 319820565 336937722 362463307 469070162 561562870 639641130 703605243 724926614 842344305 1087389921 1172675405 1407210486 1684688610 1812316535 2174779842 2345350810 3518026215 3624633070 3987096377 5436949605 7036052430 7974192754 10873899210 11961289131 19935481885 23922578262 39870963770 59806445655 119612891310