Search a number
-
+
20130220016 = 2419314153983
BaseRepresentation
bin10010101111110110…
…101100011111110000
31220221220120010112022
4102233312230133300
5312211314020031
613125300251012
71311563022044
oct225766543760
956856503468
1020130220016
11859aa91275
123a996a0a68
131b8a66c5ba
14d8d702024
157cc3de97b
hex4afdac7f0

20130220016 has 160 divisors (see below), whose sum is σ = 44277166080. Its totient is φ = 8823859200.

The previous prime is 20130220003. The next prime is 20130220021. The reversal of 20130220016 is 61002203102.

It is a junction number, because it is equal to n+sod(n) for n = 20130219976 and 20130220003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20477861 + ... + 20478843.

It is an arithmetic number, because the mean of its divisors is an integer number (276732288).

Almost surely, 220130220016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20130220016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22138583040).

20130220016 is an abundant number, since it is smaller than the sum of its proper divisors (24146946064).

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

20130220016 is a wasteful number, since it uses less digits than its factorization.

20130220016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 20130220016 its reverse (61002203102), we get a palindrome (81132423118).

The spelling of 20130220016 in words is "twenty billion, one hundred thirty million, two hundred twenty thousand, sixteen".

Divisors: 1 2 4 8 16 19 31 38 41 53 62 76 82 106 124 152 164 212 248 304 328 424 496 589 656 779 848 983 1007 1178 1271 1558 1643 1966 2014 2173 2356 2542 3116 3286 3932 4028 4346 4712 5084 6232 6572 7864 8056 8692 9424 10168 12464 13144 15728 16112 17384 18677 20336 24149 26288 30473 31217 34768 37354 40303 41287 48298 52099 60946 62434 67363 74708 80606 82574 96596 104198 121892 124868 134726 149416 161212 165148 193192 208396 243784 249736 269452 298832 322424 330296 386384 416792 487568 499472 538904 578987 644848 660592 765757 833584 989881 1077808 1157974 1249393 1279897 1531514 1615069 1979762 2136059 2315948 2498786 2559794 3063028 3230138 3959524 4272118 4631896 4997572 5119588 6126056 6460276 7919048 8544236 9263792 9995144 10239176 12252112 12920552 15838096 17088472 19990288 20478352 23738467 25841104 30686311 34176944 40585121 47476934 61372622 66217829 81170242 94953868 122745244 132435658 162340484 189907736 245490488 264871316 324680968 379815472 490980976 529742632 649361936 1059485264 1258138751 2516277502 5032555004 10065110008 20130220016