Search a number
-
+
12021010130130 = 2351377699713917
BaseRepresentation
bin1010111011101101110000…
…0010011110010011010010
31120120012022212100022002020
42232323130002132103102
53033423012043131010
641322213102032310
72350326560121141
oct256733402362322
946505285308066
1012021010130130
113915099916611
121421903b78696
13692765440551
142d7b6a0cb758
1515ca626be470
hexaeedc09e4d2

12021010130130 has 128 divisors (see below), whose sum is σ = 29136206373120. Its totient is φ = 3173982535680.

The previous prime is 12021010130071. The next prime is 12021010130147. The reversal of 12021010130130 is 3103101012021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 3068930932 + ... + 3068934848.

It is an arithmetic number, because the mean of its divisors is an integer number (227626612290).

Almost surely, 212021010130130 is an apocalyptic number.

12021010130130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12021010130130 is an abundant number, since it is smaller than the sum of its proper divisors (17115196242990).

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

12021010130130 is a wasteful number, since it uses less digits than its factorization.

12021010130130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5804.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12021010130130 its reverse (3103101012021), we get a palindrome (15124111142151).

The spelling of 12021010130130 in words is "twelve trillion, twenty-one billion, ten million, one hundred thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 137 274 411 685 769 822 971 1370 1538 1942 2055 2307 2913 3845 3917 4110 4614 4855 5826 7690 7834 9710 11535 11751 14565 19585 23070 23502 29130 39170 58755 105353 117510 133027 210706 266054 316059 399081 526765 536629 632118 665135 746699 798162 1053530 1073258 1330270 1493398 1580295 1609887 1995405 2240097 2683145 3012173 3160590 3219774 3733495 3803407 3990810 4480194 5366290 6024346 7466990 7606814 8049435 9036519 11200485 11410221 15060865 16098870 18073038 19017035 22400970 22820442 30121730 38034070 45182595 57051105 90365190 102297763 114102210 204595526 306893289 412667701 511488815 521066759 613786578 825335402 1022977630 1042133518 1238003103 1534466445 1563200277 2063338505 2476006206 2605333795 2924819983 3068932890 3126400554 4126677010 5210667590 5849639966 6190015515 7816001385 8774459949 12380031030 14624099915 15632002770 17548919898 29248199830 43872299745 87744599490 400700337671 801400675342 1202101013013 2003501688355 2404202026026 4007003376710 6010505065065 12021010130130