Search a number
-
+
101361616 = 2417372653
BaseRepresentation
bin1100000101010…
…10011111010000
321001201200222221
412002222133100
5201422032431
614020310424
72340362626
oct602523720
9231650887
10101361616
1152241534
1229b42414
1317ccc4b5
14d667516
158d73111
hex60aa7d0

101361616 has 20 divisors (see below), whose sum is σ = 207940932. Its totient is φ = 47699456.

The previous prime is 101361613. The next prime is 101361647. The reversal of 101361616 is 616163101.

It can be written as a sum of positive squares in 2 ways, for example, as 48944016 + 52417600 = 6996^2 + 7240^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101361613) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 186055 + ... + 186598.

Almost surely, 2101361616 is an apocalyptic number.

101361616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101361616 is an abundant number, since it is smaller than the sum of its proper divisors (106579316).

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

101361616 is a wasteful number, since it uses less digits than its factorization.

101361616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372678 (or 372672 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 101361616 is about 10067.8506147042. The cubic root of 101361616 is about 466.2560805844.

The spelling of 101361616 in words is "one hundred one million, three hundred sixty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 17 34 68 136 272 372653 745306 1490612 2981224 5962448 6335101 12670202 25340404 50680808 101361616