Search a number
-
+
101120400 = 2434523121
BaseRepresentation
bin1100000011011…
…11100110010000
321001021110010000
412001233212100
5201341323100
614011210000
72335336443
oct601574620
9231243100
10101120400
1152097287
1229a46900
1317c46774
14d60365a
158d26900
hex606f990

101120400 has 150 divisors (see below), whose sum is σ = 363029282. Its totient is φ = 26956800.

The previous prime is 101120389. The next prime is 101120407. The reversal of 101120400 is 4021101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1679616 + 99440784 = 1296^2 + 9972^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101120407) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 30840 + ... + 33960.

Almost surely, 2101120400 is an apocalyptic number.

101120400 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 101120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181514641).

101120400 is an abundant number, since it is smaller than the sum of its proper divisors (261908882).

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

101120400 is a wasteful number, since it uses less digits than its factorization.

101120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3151 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 101120400 is about 10055.8639608937. The cubic root of 101120400 is about 465.8859281041.

Adding to 101120400 its reverse (4021101), we get a palindrome (105141501).

The spelling of 101120400 in words is "one hundred one million, one hundred twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 81 90 100 108 120 135 144 150 162 180 200 216 225 240 270 300 324 360 400 405 432 450 540 600 648 675 720 810 900 1080 1200 1296 1350 1620 1800 2025 2160 2700 3121 3240 3600 4050 5400 6242 6480 8100 9363 10800 12484 15605 16200 18726 24968 28089 31210 32400 37452 46815 49936 56178 62420 74904 78025 84267 93630 112356 124840 140445 149808 156050 168534 187260 224712 234075 249680 252801 280890 312100 337068 374520 421335 449424 468150 505602 561780 624200 674136 702225 749040 842670 936300 1011204 1123560 1248400 1264005 1348272 1404450 1685340 1872600 2022408 2106675 2247120 2528010 2808900 3370680 3745200 4044816 4213350 5056020 5617800 6320025 6741360 8426700 10112040 11235600 12640050 16853400 20224080 25280100 33706800 50560200 101120400