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133212320220 = 223572311461623
BaseRepresentation
bin111110000010000010…
…0101011000111011100
3110201211210111000112210
41330010010223013130
54140304323221340
6141110310200420
712424061016300
oct1740404530734
9421753430483
10133212320220
1151549977931
1221998653110
13c73c568025
146639d7dd00
1536e9d97180
hex1f0412b1dc

133212320220 has 144 divisors (see below), whose sum is σ = 447888365568. Its totient is φ = 29466299520.

The previous prime is 133212320209. The next prime is 133212320237. The reversal of 133212320220 is 22023212331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 639672 + ... + 821951.

It is an arithmetic number, because the mean of its divisors is an integer number (3110335872).

Almost surely, 2133212320220 is an apocalyptic number.

133212320220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133212320220 is an abundant number, since it is smaller than the sum of its proper divisors (314676045348).

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

133212320220 is a wasteful number, since it uses less digits than its factorization.

133212320220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461680 (or 1461671 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 133212320220 its reverse (22023212331), we get a palindrome (155235532551).

The spelling of 133212320220 in words is "one hundred thirty-three billion, two hundred twelve million, three hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 49 60 62 70 84 93 98 105 124 140 147 155 186 196 210 217 245 294 310 372 420 434 465 490 588 620 651 735 868 930 980 1085 1302 1470 1519 1860 2170 2604 2940 3038 3255 4340 4557 6076 6510 7595 9114 13020 15190 18228 22785 30380 45570 91140 1461623 2923246 4384869 5846492 7308115 8769738 10231361 14616230 17539476 20462722 21924345 29232460 30694083 40925444 43848690 45310313 51156805 61388166 71619527 87697380 90620626 102313610 122776332 135930939 143239054 153470415 181241252 204627220 214858581 226551565 271861878 286478108 306940830 317172191 358097635 429717162 453103130 543723756 613881660 634344382 679654695 716195270 859434324 906206260 951516573 1074292905 1268688764 1359309390 1432390540 1585860955 1903033146 2148585810 2220205337 2718618780 3171721910 3806066292 4297171620 4440410674 4757582865 6343443820 6660616011 8880821348 9515165730 11101026685 13321232022 19030331460 22202053370 26642464044 33303080055 44404106740 66606160110 133212320220