Search a number
-
+
1020100044 = 2231910941047
BaseRepresentation
bin111100110011010…
…111110111001100
32122002111110012010
4330303113313030
54042121200134
6245120141220
734164464415
oct7463276714
92562443163
101020100044
11483902297
12245767810
13133456cc2
14996a080c
155e851ce9
hex3ccd7dcc

1020100044 has 48 divisors (see below), whose sum is σ = 2528556800. Its totient is φ = 319173696.

The previous prime is 1020100033. The next prime is 1020100073. The reversal of 1020100044 is 4400010201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4329 + ... + 45375.

Almost surely, 21020100044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020100044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264278400).

1020100044 is an abundant number, since it is smaller than the sum of its proper divisors (1508456756).

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

1020100044 is a wasteful number, since it uses less digits than its factorization.

1020100044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41182 (or 41180 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1020100044 is about 31939.0050565136. The cubic root of 1020100044 is about 1006.6556191255.

Adding to 1020100044 its reverse (4400010201), we get a palindrome (5420110245).

The spelling of 1020100044 in words is "one billion, twenty million, one hundred thousand, forty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 109 114 218 228 327 436 654 1308 2071 4142 6213 8284 12426 24852 41047 82094 123141 164188 246282 492564 779893 1559786 2339679 3119572 4474123 4679358 8948246 9358716 13422369 17896492 26844738 53689476 85008337 170016674 255025011 340033348 510050022 1020100044