Search a number
-
+
101016693 = 3331120689
BaseRepresentation
bin1100000010101…
…10010001110101
321001002011212000
412001112101311
5201330013233
614005045513
72334425211
oct601262165
9231064760
10101016693
1152026378
12299b6899
1317c0b4bb
14d5b7941
158d05d13
hex6056475

101016693 has 16 divisors (see below), whose sum is σ = 154483200. Its totient is φ = 65171520.

The previous prime is 101016679. The next prime is 101016701. The reversal of 101016693 is 396610101.

It is not a de Polignac number, because 101016693 - 210 = 101015669 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101016613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59508 + ... + 61181.

It is an arithmetic number, because the mean of its divisors is an integer number (9655200).

Almost surely, 2101016693 is an apocalyptic number.

It is an amenable number.

101016693 is a deficient number, since it is larger than the sum of its proper divisors (53466507).

101016693 is a wasteful number, since it uses less digits than its factorization.

101016693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120729 (or 120723 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 101016693 is about 10050.7060945985. The cubic root of 101016693 is about 465.7266059544.

Adding to 101016693 its reverse (396610101), we get a palindrome (497626794).

The spelling of 101016693 in words is "one hundred one million, sixteen thousand, six hundred ninety-three".

Divisors: 1 3 9 27 31 93 279 837 120689 362067 1086201 3258603 3741359 11224077 33672231 101016693