Search a number
-
+
20132211220 = 22511292233467
BaseRepresentation
bin10010101111111110…
…010010101000010100
31220222001022021221121
4102233332102220110
5312212321224340
613125411053324
71311615654232
oct225776225024
956861267847
1020132211220
1185a11212a0
123a9a2a1244
131b8abb8a24
14d8da9d952
157cc68494a
hex4aff92a14

20132211220 has 144 divisors (see below), whose sum is σ = 48074015808. Its totient is φ = 7022955520.

The previous prime is 20132211157. The next prime is 20132211227. The reversal of 20132211220 is 2211223102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20132211194 and 20132211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20132211227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43109427 + ... + 43109893.

It is an arithmetic number, because the mean of its divisors is an integer number (333847332).

Almost surely, 220132211220 is an apocalyptic number.

20132211220 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 20132211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24037007904).

20132211220 is an abundant number, since it is smaller than the sum of its proper divisors (27941804588).

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

20132211220 is a wasteful number, since it uses less digits than its factorization.

20132211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20132211220 its reverse (2211223102), we get a palindrome (22343434322).

The spelling of 20132211220 in words is "twenty billion, one hundred thirty-two million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 233 290 319 466 467 580 638 841 932 934 1165 1276 1595 1682 1868 2330 2335 2563 3190 3364 4205 4660 4670 5126 5137 6380 6757 8410 9251 9340 10252 10274 12815 13514 13543 16820 18502 20548 25630 25685 27028 27086 33785 37004 46255 51260 51370 54172 67570 67715 74327 92510 102740 108811 135140 135430 148654 148973 185020 195953 217622 270860 297308 297946 371635 391906 392747 435244 544055 595892 743270 744865 783812 785494 979765 1088110 1196921 1486540 1489730 1570988 1959530 1963735 2155483 2176220 2393842 2979460 3155519 3919060 3927470 4310966 4320217 4787684 5984605 6311038 7854940 8621932 8640434 10777415 11969210 12622076 15777595 17280868 21554830 21601085 23938420 31555190 34710709 43109660 43202170 63110380 69421418 86404340 91510051 138842836 173553545 183020102 347107090 366040204 457550255 694214180 915100510 1006610561 1830201020 2013221122 4026442244 5033052805 10066105610 20132211220