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20325410120 = 23517106927961
BaseRepresentation
bin10010111011011111…
…010010010101001000
31221110111211211000102
4102323133102111020
5313111301110440
613200512024532
71316453064311
oct227337222510
957414754012
1020325410120
118690189504
123b32b32148
131bbbc314c2
14dab5d1608
157de5e8b15
hex4bb7d2548

20325410120 has 64 divisors (see below), whose sum is σ = 48469330800. Its totient is φ = 7644487680.

The previous prime is 20325410101. The next prime is 20325410129. The reversal of 20325410120 is 2101452302.

It can be written as a sum of positive squares in 8 ways, for example, as 8544044356 + 11781365764 = 92434^2 + 108542^2 .

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 = 20325410092 and 20325410101.

It is not an unprimeable number, because it can be changed into a prime (20325410129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 712940 + ... + 740900.

Almost surely, 220325410120 is an apocalyptic number.

20325410120 is a gapful number since it is divisible by the number (20) 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 20325410120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24234665400).

20325410120 is an abundant number, since it is smaller than the sum of its proper divisors (28143920680).

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

20325410120 is a wasteful number, since it uses less digits than its factorization.

20325410120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29058 (or 29054 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 20325410120 its reverse (2101452302), we get a palindrome (22426862422).

The spelling of 20325410120 in words is "twenty billion, three hundred twenty-five million, four hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1069 2138 4276 5345 8552 10690 18173 21380 27961 36346 42760 55922 72692 90865 111844 139805 145384 181730 223688 279610 363460 475337 559220 726920 950674 1118440 1901348 2376685 3802696 4753370 9506740 19013480 29890309 59780618 119561236 149451545 239122472 298903090 508135253 597806180 1016270506 1195612360 2032541012 2540676265 4065082024 5081352530 10162705060 20325410120