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15421350120 = 23351115774413
BaseRepresentation
bin11100101110010111…
…10010000011101000
31110210201222202101120
432113023302003220
5223040331200440
611030125015240
71054104212301
oct162713620350
943721882346
1015421350120
1165a3a4a660
122ba46b4520
1315b9c24457
14a641857a8
15603ce3dd0
hex3972f20e8

15421350120 has 128 divisors (see below), whose sum is σ = 50792019840. Its totient is φ = 3714647040.

The previous prime is 15421350103. The next prime is 15421350137. The reversal of 15421350120 is 2105312451.

It is a happy number.

15421350120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (15421350103) and next prime (15421350137).

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

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 31 ways as a sum of consecutive naturals, for example, 170034 + ... + 244446.

It is an arithmetic number, because the mean of its divisors is an integer number (396812655).

Almost surely, 215421350120 is an apocalyptic number.

15421350120 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 15421350120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25396009920).

15421350120 is an abundant number, since it is smaller than the sum of its proper divisors (35370669720).

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

15421350120 is a wasteful number, since it uses less digits than its factorization.

15421350120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74595 (or 74591 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 15421350120 its reverse (2105312451), we get a palindrome (17526662571).

The spelling of 15421350120 in words is "fifteen billion, four hundred twenty-one million, three hundred fifty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 157 165 220 264 314 330 440 471 628 660 785 942 1256 1320 1570 1727 1884 2355 3140 3454 3768 4710 5181 6280 6908 8635 9420 10362 13816 17270 18840 20724 25905 34540 41448 51810 69080 74413 103620 148826 207240 223239 297652 372065 446478 595304 744130 818543 892956 1116195 1488260 1637086 1785912 2232390 2455629 2976520 3274172 4092715 4464780 4911258 6548344 8185430 8929560 9822516 11682841 12278145 16370860 19645032 23365682 24556290 32741720 35048523 46731364 49112580 58414205 70097046 93462728 98225160 116828410 128511251 140194092 175242615 233656820 257022502 280388184 350485230 385533753 467313640 514045004 642556255 700970460 771067506 1028090008 1285112510 1401940920 1542135012 1927668765 2570225020 3084270024 3855337530 5140450040 7710675060 15421350120