Search a number
-
+
103110200 = 23521393709
BaseRepresentation
bin1100010010101…
…01011000111000
321012000112121022
412021111120320
5202344011300
614122002012
72361264554
oct611253070
9235015538
10103110200
1153226246
122a646308
131849236b
14d9a0864
1590bb285
hex6255638

103110200 has 48 divisors (see below), whose sum is σ = 241521000. Its totient is φ = 40936320.

The previous prime is 103110181. The next prime is 103110209. The reversal of 103110200 is 2011301.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103110209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25946 + ... + 29654.

Almost surely, 2103110200 is an apocalyptic number.

103110200 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 103110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120760500).

103110200 is an abundant number, since it is smaller than the sum of its proper divisors (138410800).

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

103110200 is a wasteful number, since it uses less digits than its factorization.

103110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3864 (or 3855 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 103110200 is about 10154.3192780215. The cubic root of 103110200 is about 468.9219292280.

Adding to 103110200 its reverse (2011301), we get a palindrome (105121501).

The spelling of 103110200 in words is "one hundred three million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 139 200 278 556 695 1112 1390 2780 3475 3709 5560 6950 7418 13900 14836 18545 27800 29672 37090 74180 92725 148360 185450 370900 515551 741800 1031102 2062204 2577755 4124408 5155510 10311020 12888775 20622040 25777550 51555100 103110200