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101124 = 2232532
BaseRepresentation
bin11000101100000100
312010201100
4120230010
511213444
62100100
7600552
oct305404
9163640
10101124
1169a81
124a630
133704a
1428bd2
151ee69
hex18b04

101124 has 27 divisors (see below), whose sum is σ = 260533. Its totient is φ = 33072.

The previous prime is 101119. The next prime is 101141. The reversal of 101124 is 421101.

Adding to 101124 its reverse (421101), we get a palindrome (522225).

It can be divided in two parts, 1011 and 24, that added together give a triangular number (1035 = T45).

101124 = T317 + T318.

It is a happy number.

The square root of 101124 is 318.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 72900 + 28224 = 270^2 + 168^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1882 + ... + 1934.

2101124 is an apocalyptic number.

101124 is the 318-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101124

101124 is an abundant number, since it is smaller than the sum of its proper divisors (159409).

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

101124 is a wasteful number, since it uses less digits than its factorization.

101124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The cubic root of 101124 is about 46.5891456726.

The spelling of 101124 in words is "one hundred one thousand, one hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 2809 5618 8427 11236 16854 25281 33708 50562 101124