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20104442300 = 2252538534447
BaseRepresentation
bin10010101110010100…
…010111000110111100
31220220010001111011002
4102232110113012330
5312133214123200
613122535545432
71311130640255
oct225624270674
956803044132
1020104442300
118587485078
123a90b2b278
131b85215407
14d8a111b2c
157c9eebbd5
hex4ae5171bc

20104442300 has 72 divisors (see below), whose sum is σ = 44511901056. Its totient is φ = 7879023360.

The previous prime is 20104442273. The next prime is 20104442321. The reversal of 20104442300 is 324440102.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4518677 + ... + 4523123.

It is an arithmetic number, because the mean of its divisors is an integer number (618220848).

Almost surely, 220104442300 is an apocalyptic number.

20104442300 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 20104442300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22255950528).

20104442300 is an abundant number, since it is smaller than the sum of its proper divisors (24407458756).

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

20104442300 is a wasteful number, since it uses less digits than its factorization.

20104442300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5367 (or 5360 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 20104442300 its reverse (324440102), we get a palindrome (20428882402).

The spelling of 20104442300 in words is "twenty billion, one hundred four million, four hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 853 1060 1325 1706 2650 3412 4265 4447 5300 8530 8894 17060 17788 21325 22235 42650 44470 45209 85300 88940 90418 111175 180836 222350 226045 235691 444700 452090 471382 904180 942764 1130225 1178455 2260450 2356910 3793291 4520900 4713820 5892275 7586582 11784550 15173164 18966455 23569100 37932910 75865820 94832275 189664550 201044423 379329100 402088846 804177692 1005222115 2010444230 4020888460 5026110575 10052221150 20104442300