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20344101330 = 2357791378951
BaseRepresentation
bin10010111100100110…
…100101100111010010
31221111211000102112110
4102330212211213102
5313131042220310
613202420410150
71320101002530
oct227446454722
957454012473
1020344101330
11869a795493
123b39246956
131bc2a76ca7
14dadc99150
157e108bd20
hex4bc9a59d2

20344101330 has 128 divisors (see below), whose sum is σ = 56926126080. Its totient is φ = 4557196800.

The previous prime is 20344101269. The next prime is 20344101347. The reversal of 20344101330 is 3310144302.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 20344101297 and 20344101306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2268355 + ... + 2277305.

It is an arithmetic number, because the mean of its divisors is an integer number (444735360).

Almost surely, 220344101330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20344101330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28463063040).

20344101330 is an abundant number, since it is smaller than the sum of its proper divisors (36582024750).

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

20344101330 is a wasteful number, since it uses less digits than its factorization.

20344101330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9184.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 20344101330 its reverse (3310144302), we get a palindrome (23654245632).

The spelling of 20344101330 in words is "twenty billion, three hundred forty-four million, one hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 79 105 137 158 210 237 274 395 411 474 553 685 790 822 959 1106 1185 1370 1659 1918 2055 2370 2765 2877 3318 4110 4795 5530 5754 8295 8951 9590 10823 14385 16590 17902 21646 26853 28770 32469 44755 53706 54115 62657 64938 75761 89510 108230 125314 134265 151522 162345 187971 227283 268530 313285 324690 375942 378805 454566 626570 707129 757610 939855 1136415 1226287 1414258 1879710 2121387 2272830 2452574 3535645 3678861 4242774 4949903 6131435 7071290 7357722 8584009 9899806 10606935 12262870 14849709 17168018 18394305 21213870 24749515 25752027 29699418 36788610 42920045 49499030 51504054 74248545 85840090 96876673 128760135 148497090 193753346 257520270 290630019 484383365 581260038 678136711 968766730 1356273422 1453150095 2034410133 2906300190 3390683555 4068820266 6781367110 10172050665 20344101330