Search a number
-
+
21220133211030 = 235131922371280159
BaseRepresentation
bin1001101001100101100101…
…00000001000101110010110
32210010121212120100201001210
410310302302200020232112
510240132313100223110
6113044221123202250
74320050453135115
oct464626240105626
983117776321053
1021220133211030
116841453a98606
12246872b816386
13bac085a47560
145350ba625c7c
1526beb7352520
hex134cb2808b96

21220133211030 has 128 divisors (see below), whose sum is σ = 57758361292800. Its totient is φ = 4946284721664.

The previous prime is 21220133210987. The next prime is 21220133211041. The reversal of 21220133211030 is 3011233102212.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21220133210988 and 21220133211006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15936091 + ... + 17216249.

It is an arithmetic number, because the mean of its divisors is an integer number (451237197600).

Almost surely, 221220133211030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21220133211030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28879180646400).

21220133211030 is an abundant number, since it is smaller than the sum of its proper divisors (36538228081770).

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

21220133211030 is a wasteful number, since it uses less digits than its factorization.

21220133211030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282438.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 21220133211030 its reverse (3011233102212), we get a palindrome (24231366313242).

The spelling of 21220133211030 in words is "twenty-one trillion, two hundred twenty billion, one hundred thirty-three million, two hundred eleven thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 390 494 570 741 1235 1482 2237 2470 3705 4474 6711 7410 11185 13422 22370 29081 33555 42503 58162 67110 85006 87243 127509 145405 174486 212515 255018 290810 425030 436215 552539 637545 872430 1105078 1275090 1280159 1657617 2560318 2762695 3315234 3840477 5525390 6400795 7680954 8288085 12801590 16576170 16642067 19202385 24323021 33284134 38404770 48646042 49926201 72969063 83210335 99852402 121615105 145938126 166420670 243230210 249631005 316199273 364845315 499262010 632398546 729690630 948597819 1580996365 1897195638 2863715683 3161992730 4742989095 5727431366 8591147049 9485978190 14318578415 17182294098 28637156830 37228303879 42955735245 54410597977 74456607758 85911470490 108821195954 111684911637 163231793931 186141519395 223369823274 272052989885 326463587862 372283038790 544105979770 558424558185 707337773701 816158969655 1116849116370 1414675547402 1632317939310 2122013321103 3536688868505 4244026642206 7073377737010 10610066605515 21220133211030