Search a number
-
+
20132212022130 = 23513181971293717
BaseRepresentation
bin1001001001111011001010…
…10110001001101101110010
32122021121202110201010012010
410210331211112021231302
510114321232234202010
6110452335512343350
74145334660456225
oct444754526115562
978247673633163
1020132212022130
11646202892812a
1223119110a4b56
13b305c8538cb0
144d85934135bc
1524da41edd620
hex124f65589b72

20132212022130 has 128 divisors (see below), whose sum is σ = 52375568184576. Its totient is φ = 4923150105600.

The previous prime is 20132212022047. The next prime is 20132212022159. The reversal of 20132212022130 is 3122021223102.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20132212022097 and 20132212022106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68396032 + ... + 68689748.

It is an arithmetic number, because the mean of its divisors is an integer number (409184126442).

Almost surely, 220132212022130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20132212022130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26187784092288).

20132212022130 is an abundant number, since it is smaller than the sum of its proper divisors (32243356162446).

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

20132212022130 is a wasteful number, since it uses less digits than its factorization.

20132212022130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294892.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 20132212022130 its reverse (3122021223102), we get a palindrome (23254233245232).

The spelling of 20132212022130 in words is "twenty trillion, one hundred thirty-two billion, two hundred twelve million, twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 181 195 362 390 543 905 971 1086 1810 1942 2353 2715 2913 4706 4855 5430 5826 7059 9710 11765 12623 14118 14565 23530 25246 29130 35295 37869 63115 70590 75738 126230 175751 189345 293717 351502 378690 527253 587434 878755 881151 1054506 1468585 1757510 1762302 2284763 2636265 2937170 3818321 4405755 4569526 5272530 6854289 7636642 8811510 11423815 11454963 13708578 19091605 22847630 22909926 34271445 38183210 53162777 57274815 68542890 106325554 114549630 159488331 265813885 285199207 318976662 531627770 570398414 691116101 797441655 855597621 1382232202 1425996035 1594883310 1711195242 2073348303 2851992070 3455580505 3707589691 4146696606 4277988105 6911161010 7415179382 8555976210 10366741515 11122769073 18537948455 20733483030 22245538146 37075896910 51621056467 55613845365 103242112934 111227690730 154863169401 258105282335 309726338802 516210564670 671073734071 774315847005 1342147468142 1548631694010 2013221202213 3355368670355 4026442404426 6710737340710 10066106011065 20132212022130