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1003124021020 = 22511149269113761
BaseRepresentation
bin11101001100011101101…
…10011101011100011100
310112220020102211010200021
432212032312131130130
5112413344222133040
62044455005041524
7132321230331022
oct16461666353434
93486212733607
101003124021020
113574713a4150
121424b42562a4
13737955842a4
14367a12d4712
151b160b5724a
hexe98ed9d71c

1003124021020 has 96 divisors (see below), whose sum is σ = 2322109944000. Its totient is φ = 360974131200.

The previous prime is 1003124020993. The next prime is 1003124021087. The reversal of 1003124021020 is 201204213001.

It is a junction number, because it is equal to n+sod(n) for n = 1003124020985 and 1003124021003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8760940 + ... + 8874700.

It is an arithmetic number, because the mean of its divisors is an integer number (24188645250).

Almost surely, 21003124021020 is an apocalyptic number.

1003124021020 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 1003124021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161054972000).

1003124021020 is an abundant number, since it is smaller than the sum of its proper divisors (1318985922980).

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

1003124021020 is a wasteful number, since it uses less digits than its factorization.

1003124021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114199 (or 114197 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1003124021020 its reverse (201204213001), we get a palindrome (1204328234021).

The spelling of 1003124021020 in words is "one trillion, three billion, one hundred twenty-four million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 149 220 269 298 538 596 745 1076 1345 1490 1639 2690 2959 2980 3278 5380 5918 6556 8195 11836 14795 16390 29590 32780 40081 59180 80162 113761 160324 200405 227522 400810 440891 455044 568805 801620 881782 1137610 1251371 1763564 2204455 2275220 2502742 4408910 5005484 6256855 8817820 12513710 16950389 25027420 30601709 33900778 61203418 67801556 84751945 122406836 153008545 169503890 186454279 306017090 336618799 339007780 372908558 612034180 673237598 745817116 932271395 1346475196 1683093995 1864542790 3366187990 3729085580 4559654641 6732375980 9119309282 18238618564 22798273205 45596546410 50156201051 91193092820 100312402102 200624804204 250781005255 501562010510 1003124021020