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1021044041300 = 2252371811524629
BaseRepresentation
bin11101101101110101111…
…01111010011001010100
310121121111022111111011002
432312322331322121110
5113212044233310200
62101021113202432
7133524265103063
oct16667275723124
93547438444132
101021044041300
11364027819668
12145a75700418
137539006079a
14375c12621da
151b85deb2bd5
hexedbaf7a654

1021044041300 has 72 divisors (see below), whose sum is σ = 2288122014360. Its totient is φ = 395183577600.

The previous prime is 1021044041291. The next prime is 1021044041317. The reversal of 1021044041300 is 31404401201.

It can be written as a sum of positive squares in 12 ways, for example, as 149442550084 + 871601491216 = 386578^2 + 933596^2 .

It is a super-2 number, since 2×10210440413002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 92615 + ... + 1432014.

Almost surely, 21021044041300 is an apocalyptic number.

1021044041300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021044041300 is an abundant number, since it is smaller than the sum of its proper divisors (1267077973060).

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

1021044041300 is a wasteful number, since it uses less digits than its factorization.

1021044041300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524861 (or 1524854 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1021044041300 its reverse (31404401201), we get a palindrome (1052448442501).

The spelling of 1021044041300 in words is "one trillion, twenty-one billion, forty-four million, forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 181 185 362 370 724 740 905 925 1810 1850 3620 3700 4525 6697 9050 13394 18100 26788 33485 66970 133940 167425 334850 669700 1524629 3049258 6098516 7623145 15246290 30492580 38115725 56411273 76231450 112822546 152462900 225645092 275957849 282056365 551915698 564112730 1103831396 1128225460 1379789245 1410281825 2759578490 2820563650 5519156980 5641127300 6898946225 10210440413 13797892450 20420880826 27595784900 40841761652 51052202065 102104404130 204208808260 255261010325 510522020650 1021044041300