Search a number
-
+
3100113112200 = 23352133407116657
BaseRepresentation
bin101101000111001101001…
…001000000110010001000
3101222100221012202022110120
4231013031021000302020
5401243012424042300
610332101114543240
7436655456445546
oct55071511006210
911870835668416
103100113112200
11a95829039735
124209a5737b20
131964548c4430
14aa090d9cd96
15559938733a0
hex2d1cd240c88

3100113112200 has 192 divisors, whose sum is σ = 10352734882560. Its totient is φ = 762874245120.

The previous prime is 3100113112193. The next prime is 3100113112219. The reversal of 3100113112200 is 22113110013.

It is a happy number.

It is a super-2 number, since 2×31001131122002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3100113112200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26516272 + ... + 26632928.

It is an arithmetic number, because the mean of its divisors is an integer number (53920494180).

Almost surely, 23100113112200 is an apocalyptic number.

3100113112200 is a gapful number since it is divisible by the number (30) 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 3100113112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5176367441280).

3100113112200 is an abundant number, since it is smaller than the sum of its proper divisors (7252621770360).

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

3100113112200 is a wasteful number, since it uses less digits than its factorization.

3100113112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120096 (or 120087 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 3100113112200 its reverse (22113110013), we get a palindrome (3122226222213).

The spelling of 3100113112200 in words is "three trillion, one hundred billion, one hundred thirteen million, one hundred twelve thousand, two hundred".