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220311330100 = 225231631111261
BaseRepresentation
bin1100110100101110010…
…1000001110100110100
3210001122212122011100121
43031023211001310310
512102144200030400
6245113140221324
721626343256561
oct3151345016464
9701585564317
10220311330100
1185485003124
123684599a844
1317a103609b4
14a93d889868
155ae66db21a
hex334b941d34

220311330100 has 72 divisors (see below), whose sum is σ = 493619406336. Its totient is φ = 85260720000.

The previous prime is 220311330077. The next prime is 220311330121. The reversal of 220311330100 is 1033113022.

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, 19558470 + ... + 19569730.

It is an arithmetic number, because the mean of its divisors is an integer number (6855825088).

Almost surely, 2220311330100 is an apocalyptic number.

220311330100 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 220311330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246809703168).

220311330100 is an abundant number, since it is smaller than the sum of its proper divisors (273308076236).

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

220311330100 is a wasteful number, since it uses less digits than its factorization.

220311330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17617 (or 17610 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 220311330100 its reverse (1033113022), we get a palindrome (221344443122).

The spelling of 220311330100 in words is "two hundred twenty billion, three hundred eleven million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 3100 6311 11261 12622 22522 25244 31555 45044 56305 63110 112610 126220 157775 195641 225220 281525 315550 349091 391282 563050 631100 698182 782564 978205 1126100 1396364 1745455 1956410 3490910 3912820 4891025 6981820 8727275 9782050 17454550 19564100 34909100 71068171 142136342 284272684 355340855 710681710 1421363420 1776704275 2203113301 3553408550 4406226602 7106817100 8812453204 11015566505 22031133010 44062266020 55077832525 110155665050 220311330100