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20130322300 = 22521125233181
BaseRepresentation
bin10010101111110111…
…000101011101111100
31220221220202022211121
4102233313011131330
5312211330303200
613125302400324
71311563626204
oct225767053574
956856668747
1020130322300
1185a0051100
123a997300a4
131b8a6a701a
14d8d72b404
157cc40ee1a
hex4afdc577c

20130322300 has 108 divisors (see below), whose sum is σ = 48121907848. Its totient is φ = 7303824000.

The previous prime is 20130322297. The next prime is 20130322313. The reversal of 20130322300 is 322303102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6326710 + ... + 6329890.

Almost surely, 220130322300 is an apocalyptic number.

20130322300 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 20130322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24060953924).

20130322300 is an abundant number, since it is smaller than the sum of its proper divisors (27991585548).

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

20130322300 is a wasteful number, since it uses less digits than its factorization.

20130322300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3740 (or 3722 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 20130322300 its reverse (322303102), we get a palindrome (20452625402).

The spelling of 20130322300 in words is "twenty billion, one hundred thirty million, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 523 550 605 1046 1100 1210 2092 2420 2615 3025 3181 5230 5753 6050 6362 10460 11506 12100 12724 13075 15905 23012 26150 28765 31810 34991 52300 57530 63283 63620 69982 79525 115060 126566 139964 143825 159050 174955 253132 287650 316415 318100 349910 384901 575300 632830 699820 769802 874775 1265660 1539604 1582075 1663663 1749550 1924505 3164150 3327326 3499100 3849010 6328300 6654652 7698020 8318315 9622525 16636630 18300293 19245050 33273260 36600586 38490100 41591575 73201172 83183150 91501465 166366300 183002930 201303223 366005860 402606446 457507325 805212892 915014650 1006516115 1830029300 2013032230 4026064460 5032580575 10065161150 20130322300