Search a number
-
+
100302330 = 235191491181
BaseRepresentation
bin1011111101001…
…11110111111010
320222201212221010
411332213313322
5201134133310
613541454350
72325361422
oct576476772
9228655833
10100302330
1151688697
12297113b6
1317a1b2bb
14d46d482
158c14320
hex5fa7dfa

100302330 has 64 divisors (see below), whose sum is σ = 255312000. Its totient is φ = 25148160.

The previous prime is 100302259. The next prime is 100302331. The reversal of 100302330 is 33203001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100302331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84340 + ... + 85520.

It is an arithmetic number, because the mean of its divisors is an integer number (3989250).

Almost surely, 2100302330 is an apocalyptic number.

100302330 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 100302330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127656000).

100302330 is an abundant number, since it is smaller than the sum of its proper divisors (155009670).

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

100302330 is a wasteful number, since it uses less digits than its factorization.

100302330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 100302330 is about 10015.1050918101. The cubic root of 100302330 is about 464.6261766053.

Adding to 100302330 its reverse (33203001), we get a palindrome (133505331).

The spelling of 100302330 in words is "one hundred million, three hundred two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 149 190 285 298 447 570 745 894 1181 1490 2235 2362 2831 3543 4470 5662 5905 7086 8493 11810 14155 16986 17715 22439 28310 35430 42465 44878 67317 84930 112195 134634 175969 224390 336585 351938 527907 673170 879845 1055814 1759690 2639535 3343411 5279070 6686822 10030233 16717055 20060466 33434110 50151165 100302330