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1020024230428 = 2271937313165559
BaseRepresentation
bin11101101011111100010…
…11101001001000011100
310121111212020112201122001
432311332023221020130
5113203002200333203
62100332003132044
7133460102621410
oct16657613511034
93544766481561
101020024230428
113636540a4665
12145830074024
13752599a82b8
1437525a38d40
151b7ee6bb91d
hexed7e2e921c

1020024230428 has 96 divisors (see below), whose sum is σ = 2212517350400. Its totient is φ = 401662250496.

The previous prime is 1020024230419. The next prime is 1020024230429. The reversal of 1020024230428 is 8240324200201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1020024230396 and 1020024230405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020024230429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6078313 + ... + 6243871.

Almost surely, 21020024230428 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 1020024230428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106258675200).

1020024230428 is an abundant number, since it is smaller than the sum of its proper divisors (1192493119972).

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

1020024230428 is a wasteful number, since it uses less digits than its factorization.

1020024230428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165939 (or 165937 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 1020024230428 its reverse (8240324200201), we get a palindrome (9260348430629).

The spelling of 1020024230428 in words is "one trillion, twenty billion, twenty-four million, two hundred thirty thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 14 19 28 37 38 74 76 133 148 259 266 313 518 532 626 703 1036 1252 1406 2191 2812 4382 4921 5947 8764 9842 11581 11894 19684 23162 23788 41629 46324 81067 83258 162134 165559 166516 220039 324268 331118 440078 662236 880156 1158913 1540273 2317826 3080546 3145621 4635652 6125683 6161092 6291242 12251366 12582484 22019347 24502732 42879781 44038694 51819967 85759562 88077388 103639934 116387977 171519124 207279868 232775954 362739769 465551908 725479538 814715839 984579373 1450959076 1629431678 1917338779 1969158746 3258863356 3834677558 3938317492 6892055611 7669355116 13421371453 13784111222 26842742906 27568222444 36429436801 53685485812 72858873602 145717747204 255006057607 510012115214 1020024230428