Search a number
-
+
133031512020 = 2235111711856641
BaseRepresentation
bin111101111100101001…
…0111100011111010100
3110201101012021000022210
41323321102330133110
54134422031341040
6141040330553420
712416434123551
oct1737122743724
9421335230283
10133031512020
1151466902a70
1221947b98870
13c710c70324
14661dd55a28
1536d907e480
hex1ef94bc7d4

133031512020 has 96 divisors (see below), whose sum is σ = 430253824896. Its totient is φ = 30352998400.

The previous prime is 133031511961. The next prime is 133031512049. The reversal of 133031512020 is 20215130331.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5917101 + ... + 5939540.

It is an arithmetic number, because the mean of its divisors is an integer number (4481810676).

Almost surely, 2133031512020 is an apocalyptic number.

133031512020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133031512020 is an abundant number, since it is smaller than the sum of its proper divisors (297222312876).

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

133031512020 is a wasteful number, since it uses less digits than its factorization.

133031512020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11856681 (or 11856679 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 133031512020 its reverse (20215130331), we get a palindrome (153246642351).

The spelling of 133031512020 in words is "one hundred thirty-three billion, thirty-one million, five hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1870 2244 2805 3740 5610 11220 11856641 23713282 35569923 47426564 59283205 71139846 118566410 130423051 142279692 177849615 201562897 237132820 260846102 355699230 391269153 403125794 521692204 604688691 652115255 711398460 782538306 806251588 1007814485 1209377382 1304230510 1565076612 1956345765 2015628970 2217191867 2418754764 2608461020 3023443455 3912691530 4031257940 4434383734 6046886910 6651575601 7825383060 8868767468 11085959335 12093773820 13303151202 22171918670 26606302404 33257878005 44343837340 66515756010 133031512020