Search a number
-
+
103100232 = 23319311727
BaseRepresentation
bin1100010010100…
…10111101001000
321012000000221010
412021102331020
5202343201412
614121443520
72361223524
oct611227510
9235000833
10103100232
1153219804
122a6405a0
131848a971
14d99ad84
1590b833c
hex6252f48

103100232 has 64 divisors (see below), whose sum is σ = 272563200. Its totient is φ = 32408640.

The previous prime is 103100227. The next prime is 103100269. The reversal of 103100232 is 232001301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141453 + ... + 142179.

It is an arithmetic number, because the mean of its divisors is an integer number (4258800).

Almost surely, 2103100232 is an apocalyptic number.

103100232 is a gapful number since it is divisible by the number (12) 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 103100232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136281600).

103100232 is an abundant number, since it is smaller than the sum of its proper divisors (169462968).

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

103100232 is a wasteful number, since it uses less digits than its factorization.

103100232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 103100232 is about 10153.8284405440. The cubic root of 103100232 is about 468.9068180026.

Adding to 103100232 its reverse (232001301), we get a palindrome (335101533).

The spelling of 103100232 in words is "one hundred three million, one hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 311 456 622 727 933 1244 1454 1866 2181 2488 2908 3732 4362 5816 5909 7464 8724 11818 13813 17448 17727 23636 27626 35454 41439 47272 55252 70908 82878 110504 141816 165756 226097 331512 452194 678291 904388 1356582 1808776 2713164 4295843 5426328 8591686 12887529 17183372 25775058 34366744 51550116 103100232