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20312304100 = 22521157732003
BaseRepresentation
bin10010111010101101…
…010010100111100100
31221102121011221221021
4102322231102213210
5313044422212400
613155323100524
71316233510324
oct227255224744
957377157837
1020312304100
118683847790
123b2a671744
131bb92c2c6a
14da997d284
157dd3aa71a
hex4bab529e4

20312304100 has 72 divisors (see below), whose sum is σ = 48169604448. Its totient is φ = 7373260800.

The previous prime is 20312304097. The next prime is 20312304137. The reversal of 20312304100 is 140321302.

It is a happy 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, 618699 + ... + 650701.

It is an arithmetic number, because the mean of its divisors is an integer number (669022284).

Almost surely, 220312304100 is an apocalyptic number.

20312304100 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 20312304100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24084802224).

20312304100 is an abundant number, since it is smaller than the sum of its proper divisors (27857300348).

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

20312304100 is a wasteful number, since it uses less digits than its factorization.

20312304100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32605 (or 32598 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20312304100 its reverse (140321302), we get a palindrome (20452625402).

The spelling of 20312304100 in words is "twenty billion, three hundred twelve million, three hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 577 1100 1154 2308 2885 5770 6347 11540 12694 14425 25388 28850 31735 32003 57700 63470 64006 126940 128012 158675 160015 317350 320030 352033 634700 640060 704066 800075 1408132 1600150 1760165 3200300 3520330 7040660 8800825 17601650 18465731 35203300 36931462 73862924 92328655 184657310 203123041 369314620 406246082 461643275 812492164 923286550 1015615205 1846573100 2031230410 4062460820 5078076025 10156152050 20312304100