Search a number
-
+
12021131010 = 23572316315269
BaseRepresentation
bin10110011001000001…
…11110011100000010
31011000202212201122110
423030200332130002
5144104402143020
65304502320150
7603615633120
oct131440763402
934022781573
1012021131010
115109684719
1223b5a29056
131197652995
1482075c910
154a55468e0
hex2cc83e702

12021131010 has 128 divisors (see below), whose sum is σ = 34619166720. Its totient is φ = 2611927296.

The previous prime is 12021131009. The next prime is 12021131039. The reversal of 12021131010 is 1013112021.

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, 779656 + ... + 794924.

It is an arithmetic number, because the mean of its divisors is an integer number (270462240).

Almost surely, 212021131010 is an apocalyptic number.

12021131010 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 12021131010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17309583360).

12021131010 is an abundant number, since it is smaller than the sum of its proper divisors (22598035710).

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

12021131010 is a wasteful number, since it uses less digits than its factorization.

12021131010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15472.

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

Adding to 12021131010 its reverse (1013112021), we get a palindrome (13034243031).

The spelling of 12021131010 in words is "twelve billion, twenty-one million, one hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 161 163 210 230 322 326 345 483 489 690 805 815 966 978 1141 1610 1630 2282 2415 2445 3423 3749 4830 4890 5705 6846 7498 11247 11410 15269 17115 18745 22494 26243 30538 34230 37490 45807 52486 56235 76345 78729 91614 106883 112470 131215 152690 157458 213766 229035 262430 320649 351187 393645 458070 534415 641298 702374 787290 1053561 1068830 1603245 1755935 2107122 2458309 2488847 3206490 3511870 4916618 4977694 5267805 7374927 7466541 10535610 12291545 12444235 14749854 14933082 17421929 24583090 24888470 34843858 36874635 37332705 52265787 57243481 73749270 74665410 87109645 104531574 114486962 171730443 174219290 261328935 286217405 343460886 400704367 522657870 572434810 801408734 858652215 1202113101 1717304430 2003521835 2404226202 4007043670 6010565505 12021131010