Search a number
-
+
101643696 = 243271189103
BaseRepresentation
bin1100000111011…
…11010110110000
321002021000221100
412003233112300
5202010044241
614030324400
72342646210
oct603572660
9232230840
10101643696
1152414460
122a059700
131809a9cb
14d6dc240
158dcb9b6
hex60ef5b0

101643696 has 240 divisors, whose sum is σ = 362119680. Its totient is φ = 25850880.

The previous prime is 101643679. The next prime is 101643713. The reversal of 101643696 is 696346101.

101643696 = T128 + T129 + ... + T848.

101643696 is a `hidden beast` number, since 1 + 0 + 1 + 643 + 6 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (101643679) and next prime (101643713).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 101643696.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 986781 + ... + 986883.

It is an arithmetic number, because the mean of its divisors is an integer number (1508832).

Almost surely, 2101643696 is an apocalyptic number.

101643696 is a gapful number since it is divisible by the number (16) 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 101643696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181059840).

101643696 is an abundant number, since it is smaller than the sum of its proper divisors (260475984).

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

101643696 is a wasteful number, since it uses less digits than its factorization.

101643696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 101643696 is about 10081.8498302643. The cubic root of 101643696 is about 466.6881958322.

Adding to 101643696 its reverse (696346101), we get a palindrome (797989797).

The spelling of 101643696 in words is "one hundred one million, six hundred forty-three thousand, six hundred ninety-six".