Search a number
-
+
12103117200 = 243452373553
BaseRepresentation
bin10110100010110011…
…01110100110010000
31011020111011001120000
423101121232212100
5144241344222300
65320551450000
7605632540656
oct132131564620
934214131500
1012103117200
1151509920a9
122419386900
1311ab62a115
1482b5c0dd6
154ac83dc00
hex2d166e990

12103117200 has 150 divisors (see below), whose sum is σ = 43437232674. Its totient is φ = 3227489280.

The previous prime is 12103117193. The next prime is 12103117223. The reversal of 12103117200 is 271130121.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1826023824 + 10277093376 = 42732^2 + 101376^2 .

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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 154377 + ... + 219176.

Almost surely, 212103117200 is an apocalyptic number.

12103117200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12103117200 is an abundant number, since it is smaller than the sum of its proper divisors (31334115474).

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

12103117200 is a wasteful number, since it uses less digits than its factorization.

12103117200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373583 (or 373563 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 12103117200 its reverse (271130121), we get a palindrome (12374247321).

The spelling of 12103117200 in words is "twelve billion, one hundred three million, one hundred seventeen thousand, two 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 3240 3600 4050 5400 6480 8100 10800 16200 32400 373553 747106 1120659 1494212 1867765 2241318 2988424 3361977 3735530 4482636 5603295 5976848 6723954 7471060 8965272 9338825 10085931 11206590 13447908 14942120 16809885 17930544 18677650 20171862 22413180 26895816 28016475 29884240 30257793 33619770 37355300 40343724 44826360 50429655 53791632 56032950 60515586 67239540 74710600 80687448 84049425 89652720 100859310 112065900 121031172 134479080 149421200 151288965 161374896 168098850 201718620 224131800 242062344 252148275 268958160 302577930 336197700 403437240 448263600 484124688 504296550 605155860 672395400 756444825 806874480 1008593100 1210311720 1344790800 1512889650 2017186200 2420623440 3025779300 4034372400 6051558600 12103117200