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103444021320 = 23353729577879
BaseRepresentation
bin110000001010110111…
…1101000000001001000
3100220000012011202022220
41200111233220001020
53143323132140240
6115304352214040
710321303446663
oct1402557500110
9326005152286
10103444021320
113a9634a9312
121806b23a320
1399a71a9593
14501460a6da
152a5678a5d0
hex1815be8048

103444021320 has 128 divisors (see below), whose sum is σ = 318867667200. Its totient is φ = 26827047936.

The previous prime is 103444021319. The next prime is 103444021333. The reversal of 103444021320 is 23120444301.

It is a super-2 number, since 2×1034440213202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13125141 + ... + 13133019.

It is an arithmetic number, because the mean of its divisors is an integer number (2491153650).

Almost surely, 2103444021320 is an apocalyptic number.

103444021320 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 103444021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159433833600).

103444021320 is an abundant number, since it is smaller than the sum of its proper divisors (215423645880).

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

103444021320 is a wasteful number, since it uses less digits than its factorization.

103444021320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10887 (or 10883 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 103444021320 its reverse (23120444301), we get a palindrome (126564465621).

The spelling of 103444021320 in words is "one hundred three billion, four hundred forty-four million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 2957 4440 5914 7879 8871 11828 14785 15758 17742 23637 23656 29570 31516 35484 39395 44355 47274 59140 63032 70968 78790 88710 94548 109409 118185 118280 157580 177420 189096 218818 236370 291523 315160 328227 354840 437636 472740 547045 583046 656454 874569 875272 945480 1094090 1166092 1312908 1457615 1641135 1749138 2188180 2332184 2625816 2915230 3282270 3498276 4372845 4376360 5830460 6564540 6996552 8745690 11660920 13129080 17491380 23298203 34982760 46596406 69894609 93192812 116491015 139789218 186385624 232982030 279578436 349473045 465964060 559156872 698946090 862033511 931928120 1397892180 1724067022 2586100533 2795784360 3448134044 4310167555 5172201066 6896268088 8620335110 10344402132 12930502665 17240670220 20688804264 25861005330 34481340440 51722010660 103444021320