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133132220100 = 2232521113447699
BaseRepresentation
bin111101111111101001…
…1000111011011000100
3110201122012202111211200
41323333103013123010
54140123322020400
6141054325302500
712422066125245
oct1737723073304
9421565674750
10133132220100
1151508738490
1221975864a30
13c728aa11c9
14662d48cccc
1536e2d23b00
hex1eff4c76c4

133132220100 has 108 divisors (see below), whose sum is σ = 455231540400. Its totient is φ = 32274475200.

The previous prime is 133132220051. The next prime is 133132220129. The reversal of 133132220100 is 1022231331.

133132220100 is a `hidden beast` number, since 1 + 331 + 322 + 2 + 0 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 6713950 + ... + 6733749.

Almost surely, 2133132220100 is an apocalyptic number.

133132220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133132220100 is an abundant number, since it is smaller than the sum of its proper divisors (322099320300).

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

133132220100 is a wasteful number, since it uses less digits than its factorization.

133132220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13447730 (or 13447720 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 133132220100 its reverse (1022231331), we get a palindrome (134154451431).

The spelling of 133132220100 in words is "one hundred thirty-three billion, one hundred thirty-two million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 13447699 26895398 40343097 53790796 67238495 80686194 121029291 134476990 147924689 161372388 201715485 242058582 268953980 295849378 336192475 403430970 443774067 484117164 591698756 605146455 672384950 739623445 806861940 887548134 1008577425 1210292910 1331322201 1344769900 1479246890 1775096268 2017154850 2218870335 2420585820 2662644402 2958493780 3025732275 3698117225 4034309700 4437740670 5325288804 6051464550 6656611005 7396234450 8875481340 11094351675 12102929100 13313222010 14792468900 22188703350 26626444020 33283055025 44377406700 66566110050 133132220100