Search a number
-
+
133021331112 = 233127179479509
BaseRepresentation
bin111101111100010110…
…0000110111010101000
3110201100111002202202010
41323320230012322220
54134411430043422
6141035324435520
712416251441605
oct1737054067250
9421314082663
10133021331112
115146108999a
12219446a8ba0
13c70bb17317
14661c8656ac
1536d821cb0c
hex1ef8b06ea8

133021331112 has 128 divisors (see below), whose sum is σ = 338411520000. Its totient is φ = 43568453376.

The previous prime is 133021331087. The next prime is 133021331143. The reversal of 133021331112 is 211133120331.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261338314 + ... + 261338822.

It is an arithmetic number, because the mean of its divisors is an integer number (2643840000).

Almost surely, 2133021331112 is an apocalyptic number.

133021331112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133021331112 is an abundant number, since it is smaller than the sum of its proper divisors (205390188888).

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

133021331112 is a wasteful number, since it uses less digits than its factorization.

133021331112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 133021331112 its reverse (211133120331), we get a palindrome (344154451443).

The spelling of 133021331112 in words is "one hundred thirty-three billion, twenty-one million, three hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 127 179 254 358 381 479 508 509 537 716 762 958 1016 1018 1074 1432 1437 1524 1527 1916 2036 2148 2874 3048 3054 3832 4072 4296 5748 6108 11496 12216 22733 45466 60833 64643 68199 85741 90932 91111 121666 129286 136398 171482 181864 182222 182499 193929 243332 243811 257223 258572 272796 273333 342964 364444 364998 387858 486664 487622 514446 517144 545592 546666 685928 728888 729996 731433 775716 975244 1028892 1093332 1459992 1462866 1551432 1950488 2057784 2186664 2925732 5851464 10889107 11571097 21778214 23142194 30963997 32667321 34713291 43556428 43642169 46284388 61927994 65334642 69426582 87112856 87284338 92568776 92891991 123855988 130669284 130926507 138853164 174568676 185783982 247711976 261338568 261853014 277706328 349137352 371567964 523706028 743135928 1047412056 5542555463 11085110926 16627666389 22170221852 33255332778 44340443704 66510665556 133021331112