Search a number
-
+
101095340 = 2253141297
BaseRepresentation
bin1100000011010…
…01011110101100
321001020011201212
412001221132230
5201340022330
614010453552
72335203413
oct601513654
9231204655
10101095340
115207a475
1229a342b8
1317c38238
14d5d847a
158d1e295
hex60697ac

101095340 has 72 divisors (see below), whose sum is σ = 226939776. Its totient is φ = 37785600.

The previous prime is 101095339. The next prime is 101095343. The reversal of 101095340 is 43590101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101095343) 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, 1042172 + ... + 1042268.

Almost surely, 2101095340 is an apocalyptic number.

101095340 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 101095340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113469888).

101095340 is an abundant number, since it is smaller than the sum of its proper divisors (125844436).

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

101095340 is a wasteful number, since it uses less digits than its factorization.

101095340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 101095340 is about 10054.6178445528. The cubic root of 101095340 is about 465.8474391150.

The spelling of 101095340 in words is "one hundred one million, ninety-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 41 62 82 97 124 155 164 194 205 310 388 410 485 620 820 970 1271 1681 1940 2542 3007 3362 3977 5084 6014 6355 6724 7954 8405 12028 12710 15035 15908 16810 19885 25420 30070 33620 39770 52111 60140 79540 104222 123287 163057 208444 246574 260555 326114 493148 521110 616435 652228 815285 1042220 1232870 1630570 2465740 3261140 5054767 10109534 20219068 25273835 50547670 101095340