Search a number
-
+
112103003112200 = 23523557171575733
BaseRepresentation
bin11001011111010100000011…
…101011011100001100001000
3112200220221110000220212210122
4121133110003223130030020
5104143143422244042300
61034231224135002412
732420113631160362
oct3137240353341410
9480827400825718
10112103003112200
11327a0686812791
12106a6390b09408
134a72363579219
141d97b58627d32
15ce60ca3d5c85
hex65f503adc308

112103003112200 has 48 divisors (see below), whose sum is σ = 260640380360580. Its totient is φ = 44841046728960.

The previous prime is 112103003112173. The next prime is 112103003112227. The reversal of 112103003112200 is 2211300301211.

It is an interprime number because it is at equal distance from previous prime (112103003112173) and next prime (112103003112227).

It can be written as a sum of positive squares in 6 ways, for example, as 23232072241156 + 88870930871044 = 4819966^2 + 9427138^2 .

It is a super-3 number, since 3×1121030031122003 (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70355534 + ... + 71931266.

Almost surely, 2112103003112200 is an apocalyptic number.

112103003112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112103003112200 is an abundant number, since it is smaller than the sum of its proper divisors (148537377248380).

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

112103003112200 is a wasteful number, since it uses less digits than its factorization.

112103003112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931466 (or 1931457 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 112103003112200 its reverse (2211300301211), we get a palindrome (114314303413411).

The spelling of 112103003112200 in words is "one hundred twelve trillion, one hundred three billion, three million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 355717 711434 1422868 1575733 1778585 2845736 3151466 3557170 6302932 7114340 7878665 8892925 12605864 14228680 15757330 17785850 31514660 35571700 39393325 63029320 71143400 78786650 157573300 315146600 560515015561 1121030031122 2242060062244 2802575077805 4484120124488 5605150155610 11210300311220 14012875389025 22420600622440 28025750778050 56051501556100 112103003112200