Search a number
-
+
109310130 = 232510711351
BaseRepresentation
bin1101000001111…
…11000010110010
321121200112022100
412200333002302
5210440411010
614502521230
72465056266
oct640770262
9247615270
10109310130
1156780356
1230736216
1319853367
14107360a6
1598e32c0
hex683f0b2

109310130 has 48 divisors (see below), whose sum is σ = 286887744. Its totient is φ = 28874400.

The previous prime is 109310101. The next prime is 109310137. The reversal of 109310130 is 31013901.

It is a super-3 number, since 3×1093101303 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (109310137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3955 + ... + 15305.

It is an arithmetic number, because the mean of its divisors is an integer number (5976828).

Almost surely, 2109310130 is an apocalyptic number.

109310130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 109310130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143443872).

109310130 is an abundant number, since it is smaller than the sum of its proper divisors (177577614).

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

109310130 is a wasteful number, since it uses less digits than its factorization.

109310130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11471 (or 11468 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

The square root of 109310130 is about 10455.1484924892. The cubic root of 109310130 is about 478.1382308270.

The spelling of 109310130 in words is "one hundred nine million, three hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 107 214 321 535 642 963 1070 1605 1926 3210 4815 9630 11351 22702 34053 56755 68106 102159 113510 170265 204318 340530 510795 1021590 1214557 2429114 3643671 6072785 7287342 10931013 12145570 18218355 21862026 36436710 54655065 109310130