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1020234025300 = 2252723593106861
BaseRepresentation
bin11101101100010101010…
…11111100100101010100
310121112101212022102002111
432312022223330211110
5113203414402302200
62100404455520404
7133465231062310
oct16661253744524
93545355272074
101020234025300
11363751567656
1214588a389104
13752912b1989
143754584ab40
151b812d0d0ba
hexed8aafc954

1020234025300 has 144 divisors (see below), whose sum is σ = 2644665230592. Its totient is φ = 334018713600.

The previous prime is 1020234025297. The next prime is 1020234025337. The reversal of 1020234025300 is 35204320201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9493870 + ... + 9600730.

It is an arithmetic number, because the mean of its divisors is an integer number (18365730768).

Almost surely, 21020234025300 is an apocalyptic number.

1020234025300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020234025300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322332615296).

1020234025300 is an abundant number, since it is smaller than the sum of its proper divisors (1624431205292).

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

1020234025300 is a wasteful number, since it uses less digits than its factorization.

1020234025300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107498 (or 107491 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 1020234025300 its reverse (35204320201), we get a palindrome (1055438345501).

The spelling of 1020234025300 in words is "one trillion, twenty billion, two hundred thirty-four million, twenty-five thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 230 322 350 460 575 593 644 700 805 1150 1186 1610 2300 2372 2965 3220 4025 4151 5930 8050 8302 11860 13639 14825 16100 16604 20755 27278 29650 41510 54556 59300 68195 83020 95473 103775 106861 136390 190946 207550 213722 272780 340975 381892 415100 427444 477365 534305 681950 748027 954730 1068610 1363900 1496054 1909460 2137220 2386825 2457803 2671525 2992108 3740135 4773650 4915606 5343050 7480270 9547300 9831212 10686100 12289015 14960540 17204621 18700675 24578030 34409242 37401350 49156060 61445075 63368573 68818484 74802700 86023105 122890150 126737146 172046210 245780300 253474292 316842865 344092420 430115525 443580011 633685730 860231050 887160022 1267371460 1457477179 1584214325 1720462100 1774320044 2217900055 2914954358 3168428650 4435800110 5829908716 6336857300 7287385895 8871600220 10202340253 11089500275 14574771790 20404680506 22179000550 29149543580 36436929475 40809361012 44358001100 51011701265 72873858950 102023402530 145747717900 204046805060 255058506325 510117012650 1020234025300