Search a number
-
+
12202020101010 = 23561113197299527
BaseRepresentation
bin1011000110010000000100…
…0100101101101110010010
31121012111112202112112220210
42301210001010231232102
53044404214121213020
641541310341544550
72366365301360565
oct261440104555622
947174482475823
1012202020101010
113984936271873
1214509bba15156
136a68513a34ac
1430281c0ac4dc
151626088c83e0
hexb190112db92

12202020101010 has 128 divisors (see below), whose sum is σ = 30180863015424. Its totient is φ = 3156093480960.

The previous prime is 12202020101009. The next prime is 12202020101023. The reversal of 12202020101010 is 1010102020221.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40587867 + ... + 40887393.

It is an arithmetic number, because the mean of its divisors is an integer number (235787992308).

Almost surely, 212202020101010 is an apocalyptic number.

12202020101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12202020101010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15090431507712).

12202020101010 is an abundant number, since it is smaller than the sum of its proper divisors (17978842914414).

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

12202020101010 is a wasteful number, since it uses less digits than its factorization.

12202020101010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299908.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12202020101010 its reverse (1010102020221), we get a palindrome (13212122121231).

The spelling of 12202020101010 in words is "twelve trillion, two hundred two billion, twenty million, one hundred one thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 61 113 122 183 197 226 305 339 366 394 565 591 610 678 915 985 1130 1182 1695 1830 1970 2955 3390 5910 6893 12017 13786 20679 22261 24034 34465 36051 41358 44522 60085 66783 68930 72102 103395 111305 120170 133566 180255 206790 222610 299527 333915 360510 599054 667830 898581 1357921 1497635 1797162 2715842 2995270 4073763 4492905 6789605 8147526 8985810 13579210 18271147 20368815 33846551 36542294 40737630 54813441 59006819 67693102 91355735 101539653 109626882 118013638 169232755 177020457 182711470 203079306 274067205 295034095 338465510 354040914 507698265 548134410 590068190 885102285 1015396530 1770204570 2064639611 3599415959 4129279222 6193918833 6667770547 7198831918 10323198055 10798247877 12387837666 13335541094 17997079795 20003311641 20646396110 21596495754 30969594165 33338852735 35994159590 40006623282 53991239385 61939188330 66677705470 100016558205 107982478770 200033116410 406734003367 813468006734 1220202010101 2033670016835 2440404020202 4067340033670 6101010050505 12202020101010