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20343130400 = 2552223114031
BaseRepresentation
bin10010111100100010…
…111000100100100000
31221111202012002200002
4102330202320210200
5313130320133100
613202343515132
71320056520035
oct227442704440
957452162602
1020343130400
11869a191a6a
123b38a58aa8
131bc27c7088
14dadac538c
157e0e492d5
hex4bc8b8920

20343130400 has 72 divisors (see below), whose sum is σ = 49885807104. Its totient is φ = 8100691200.

The previous prime is 20343130361. The next prime is 20343130417. The reversal of 20343130400 is 403134302.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121385 + ... + 235415.

It is an arithmetic number, because the mean of its divisors is an integer number (692858432).

Almost surely, 220343130400 is an apocalyptic number.

20343130400 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 20343130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24942903552).

20343130400 is an abundant number, since it is smaller than the sum of its proper divisors (29542676704).

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

20343130400 is a wasteful number, since it uses less digits than its factorization.

20343130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114274 (or 114261 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 20343130400 its reverse (403134302), we get a palindrome (20746264702).

The spelling of 20343130400 in words is "twenty billion, three hundred forty-three million, one hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 223 400 446 800 892 1115 1784 2230 3568 4460 5575 7136 8920 11150 17840 22300 35680 44600 89200 114031 178400 228062 456124 570155 912248 1140310 1824496 2280620 2850775 3648992 4561240 5701550 9122480 11403100 18244960 22806200 25428913 45612400 50857826 91224800 101715652 127144565 203431304 254289130 406862608 508578260 635722825 813725216 1017156520 1271445650 2034313040 2542891300 4068626080 5085782600 10171565200 20343130400