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103421040320 = 2651333773771
BaseRepresentation
bin110000001010001011…
…1111101011011000000
3100212221120221012022202
41200110113331123000
53143301241242240
6115302211452332
710320604223663
oct1402427753300
9325846835282
10103421040320
113a951532354
12180635b70a8
1399a24c1360
1450115476da
152a5474b315
hex18145fd6c0

103421040320 has 112 divisors (see below), whose sum is σ = 266005897248. Its totient is φ = 38072401920.

The previous prime is 103421040269. The next prime is 103421040377. The reversal of 103421040320 is 23040124301.

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

It is a junction number, because it is equal to n+sod(n) for n = 103421040292 and 103421040301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1365035 + ... + 1438805.

It is an arithmetic number, because the mean of its divisors is an integer number (2375052654).

Almost surely, 2103421040320 is an apocalyptic number.

103421040320 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 103421040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133002948624).

103421040320 is an abundant number, since it is smaller than the sum of its proper divisors (162584856928).

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

103421040320 is a wasteful number, since it uses less digits than its factorization.

103421040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74138 (or 74128 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 103421040320 its reverse (23040124301), we get a palindrome (126461164621).

The spelling of 103421040320 in words is "one hundred three billion, four hundred twenty-one million, forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 337 416 520 674 832 1040 1348 1685 2080 2696 3370 4160 4381 5392 6740 8762 10784 13480 17524 21568 21905 26960 35048 43810 53920 70096 73771 87620 107840 140192 147542 175240 280384 295084 350480 368855 590168 700960 737710 959023 1180336 1401920 1475420 1918046 2360672 2950840 3836092 4721344 4795115 5901680 7672184 9590230 11803360 15344368 19180460 23606720 24860827 30688736 38360920 49721654 61377472 76721840 99443308 124304135 153443680 198886616 248608270 306887360 323190751 397773232 497216540 646381502 795546464 994433080 1292763004 1591092928 1615953755 1988866160 2585526008 3231907510 3977732320 5171052016 6463815020 7955464640 10342104032 12927630040 20684208064 25855260080 51710520160 103421040320