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1020323124 = 2232293672663
BaseRepresentation
bin111100110100001…
…110010100110100
32122002220210012100
4330310032110310
54042200314444
6245125022100
734166413662
oct7464162464
92562823170
101020323124
11483a44957
12245854930
131335046c2
149971bc32
155e897e69
hex3cd0e534

1020323124 has 72 divisors (see below), whose sum is σ = 2676360960. Its totient is φ = 327362112.

The previous prime is 1020323093. The next prime is 1020323131. The reversal of 1020323124 is 4213230201.

1020323124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1020323097 and 1020323106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381817 + ... + 384479.

It is an arithmetic number, because the mean of its divisors is an integer number (37171680).

Almost surely, 21020323124 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 1020323124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338180480).

1020323124 is an abundant number, since it is smaller than the sum of its proper divisors (1656037836).

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

1020323124 is a wasteful number, since it uses less digits than its factorization.

1020323124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1020323124 is about 31942.4971472175. The cubic root of 1020323124 is about 1006.7289937483.

Adding to 1020323124 its reverse (4213230201), we get a palindrome (5233553325).

The spelling of 1020323124 in words is "one billion, twenty million, three hundred twenty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 367 522 734 1044 1101 1468 2202 2663 3303 4404 5326 6606 7989 10643 10652 13212 15978 21286 23967 31929 31956 42572 47934 63858 77227 95787 95868 127716 154454 191574 231681 308908 383148 463362 695043 926724 977321 1390086 1954642 2780172 2931963 3909284 5863926 8795889 11727852 17591778 28342309 35183556 56684618 85026927 113369236 170053854 255080781 340107708 510161562 1020323124