Search a number
-
+
119616000348100 = 2252832131772
BaseRepresentation
bin11011001100101001000101…
…001101011100111111000100
3120200112011210201200120020211
4123030221011031130333010
5111134242032042114400
61102222455411405204
734123653666043264
oct3314510515347704
9520464721616224
10119616000348100
11351279518a51a3
12114ba4705b3804
135198981967139
142177633ccd7a4
15dc67477c0dba
hex6cca4535cfc4

119616000348100 has 81 divisors (see below), whose sum is σ = 262751649248487. Its totient is φ = 47266350180480.

The previous prime is 119616000348083. The next prime is 119616000348109. The reversal of 119616000348100 is 1843000616911.

The square root of 119616000348100 is 10936910.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3631026564 + 119612369321536 = 60258^2 + 10936744^2 .

It is a super-2 number, since 2×1196160003481002 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (119616000348109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9077628712 + ... + 9077641888.

Almost surely, 2119616000348100 is an apocalyptic number.

119616000348100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

119616000348100 is the 10936910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119616000348100

119616000348100 is an abundant number, since it is smaller than the sum of its proper divisors (143135648900387).

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

119616000348100 is an frugal number, since it uses more digits than its factorization.

119616000348100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26534 (or 13267 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The spelling of 119616000348100 in words is "one hundred nineteen trillion, six hundred sixteen billion, three hundred forty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 830 1660 2075 4150 6889 8300 13177 13778 26354 27556 34445 52708 65885 68890 131770 137780 172225 263540 329425 344450 658850 688900 1093691 1317700 2187382 4374764 5468455 10936910 21873820 27342275 54684550 90776353 109369100 173633329 181552706 347266658 363105412 453881765 694533316 868166645 907763530 1736333290 1815527060 2269408825 3472666580 4340833225 4538817650 8681666450 9077635300 14411566307 17363332900 28823132614 57646265228 72057831535 144115663070 288231326140 360289157675 720578315350 1196160003481 1441156630700 2392320006962 4784640013924 5980800017405 11961600034810 23923200069620 29904000087025 59808000174050 119616000348100