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1034204421320 = 2357378179643
BaseRepresentation
bin11110000110010110110…
…00110001110011001000
310122212110111002001122022
433003023120301303020
5113421022312440240
62111035033544012
7134501356352000
oct17031330616310
93585414061568
101034204421320
11369670485994
12148528b75008
13766a9726bb5
14380ad019000
151bd7e5449b5
hexf0cb631cc8

1034204421320 has 128 divisors (see below), whose sum is σ = 2714284512000. Its totient is φ = 354502245888.

The previous prime is 1034204421319. The next prime is 1034204421337. The reversal of 1034204421320 is 231244024301.

It is a self number, because there is not a number n which added to its sum of digits gives 1034204421320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107244419 + ... + 107254061.

It is an arithmetic number, because the mean of its divisors is an integer number (21205347750).

Almost surely, 21034204421320 is an apocalyptic number.

1034204421320 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 1034204421320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357142256000).

1034204421320 is an abundant number, since it is smaller than the sum of its proper divisors (1680080090680).

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

1034204421320 is an equidigital number, since it uses as much as digits as its factorization.

1034204421320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17492 (or 17474 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 1034204421320 its reverse (231244024301), we get a palindrome (1265448445621).

The spelling of 1034204421320 in words is "one trillion, thirty-four billion, two hundred four million, four hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1372 1715 1960 2744 3430 6860 7817 9643 13720 15634 19286 31268 38572 39085 48215 54719 62536 67501 77144 78170 96430 109438 135002 156340 192860 218876 270004 273595 312680 337505 383033 385720 437752 472507 540008 547190 675010 766066 945014 1094380 1350020 1532132 1890028 1915165 2188760 2362535 2681231 2700040 3064264 3307549 3780056 3830330 4725070 5362462 6615098 7660660 9450140 10724924 13230196 13406155 15321320 16537745 18900280 21449848 26460392 26812310 33075490 53624620 66150980 75379331 107249240 132301960 150758662 301517324 376896655 527655317 603034648 753793310 1055310634 1507586620 2110621268 2638276585 3015173240 3693587219 4221242536 5276553170 7387174438 10553106340 14774348876 18467936095 21106212680 25855110533 29548697752 36935872190 51710221066 73871744380 103420442132 129275552665 147743488760 206840884264 258551105330 517102210660 1034204421320