Search a number
-
+
20351411120 = 2451019072777
BaseRepresentation
bin10010111101000010…
…011110001110110000
31221112022202210200102
4102331002132032300
5313134430123440
613203241211532
71320220066055
oct227502361660
957468683612
1020351411120
1186a3928437
123b3b790ba8
131bc4436201
14db0c3d02c
157e1a32b15
hex4bd09e3b0

20351411120 has 80 divisors (see below), whose sum is σ = 47855428128. Its totient is φ = 8048179200.

The previous prime is 20351411111. The next prime is 20351411147. The reversal of 20351411120 is 2111415302.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 20351411092 and 20351411101.

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, 7327172 + ... + 7329948.

Almost surely, 220351411120 is an apocalyptic number.

20351411120 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 20351411120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23927714064).

20351411120 is an abundant number, since it is smaller than the sum of its proper divisors (27504017008).

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

20351411120 is a wasteful number, since it uses less digits than its factorization.

20351411120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 20351411120 its reverse (2111415302), we get a palindrome (22462826422).

The spelling of 20351411120 in words is "twenty billion, three hundred fifty-one million, four hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 907 1010 1616 1814 2020 2777 3628 4040 4535 5554 7256 8080 9070 11108 13885 14512 18140 22216 27770 36280 44432 55540 72560 91607 111080 183214 222160 280477 366428 458035 560954 732856 916070 1121908 1402385 1465712 1832140 2243816 2518739 2804770 3664280 4487632 5037478 5609540 7328560 10074956 11219080 12593695 20149912 22438160 25187390 40299824 50374780 100749560 201499120 254392639 508785278 1017570556 1271963195 2035141112 2543926390 4070282224 5087852780 10175705560 20351411120