[go: up one dir, main page]

Search a number
-
+
102301300 = 22523743643
BaseRepresentation
bin1100001100011…
…11111001110100
321010111110000001
412012033321310
5202142120200
614052401044
72351355343
oct606177164
9233443001
10102301300
1152823532
122a316184
131826b11a
14d82db5a
158eab76a
hex618fe74

102301300 has 72 divisors (see below), whose sum is σ = 233658656. Its totient is φ = 38828160.

The previous prime is 102301267. The next prime is 102301307. The reversal of 102301300 is 3103201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102301307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158779 + ... + 159421.

Almost surely, 2102301300 is an apocalyptic number.

102301300 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 102301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116829328).

102301300 is an abundant number, since it is smaller than the sum of its proper divisors (131357356).

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

102301300 is a wasteful number, since it uses less digits than its factorization.

102301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 102301300 is about 10114.4105117402. The cubic root of 102301300 is about 467.6924770075.

Adding to 102301300 its reverse (3103201), we get a palindrome (105404501).

The spelling of 102301300 in words is "one hundred two million, three hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 43 50 74 86 100 148 172 185 215 370 430 643 740 860 925 1075 1286 1591 1850 2150 2572 3182 3215 3700 4300 6364 6430 7955 12860 15910 16075 23791 27649 31820 32150 39775 47582 55298 64300 79550 95164 110596 118955 138245 159100 237910 276490 475820 552980 594775 691225 1023013 1189550 1382450 2046026 2379100 2764900 4092052 5115065 10230130 20460260 25575325 51150650 102301300