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133212302200 = 235219155322573
BaseRepresentation
bin111110000010000010…
…0100110101101111000
3110201211210110002211101
41330010010212231320
54140304322132300
6141110305541144
712424060612615
oct1740404465570
9421753402741
10133212302200
115154996533a
12219986447b4
13c73c55ca73
146639d7750c
1536e9d91b6a
hex1f04126b78

133212302200 has 96 divisors (see below), whose sum is σ = 326243962800. Its totient is φ = 50445711360.

The previous prime is 133212302177. The next prime is 133212302291. The reversal of 133212302200 is 2203212331.

It is a Harshad number since it is a multiple of its sum of digits (19).

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 23 ways as a sum of consecutive naturals, for example, 5890114 + ... + 5912686.

Almost surely, 2133212302200 is an apocalyptic number.

133212302200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133212302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163121981400).

133212302200 is an abundant number, since it is smaller than the sum of its proper divisors (193031660600).

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

133212302200 is a wasteful number, since it uses less digits than its factorization.

133212302200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24161 (or 24152 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 133212302200 its reverse (2203212331), we get a palindrome (135415514531).

The spelling of 133212302200 in words is "one hundred thirty-three billion, two hundred twelve million, three hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1553 1900 3106 3800 6212 7765 12424 15530 22573 29507 31060 38825 45146 59014 62120 77650 90292 112865 118028 147535 155300 180584 225730 236056 295070 310600 428887 451460 564325 590140 737675 857774 902920 1128650 1180280 1475350 1715548 2144435 2257300 2950700 3431096 4288870 4514600 5901400 8577740 10722175 17155480 21444350 35055869 42888700 70111738 85777400 140223476 175279345 280446952 350558690 666061511 701117380 876396725 1332123022 1402234760 1752793450 2664246044 3330307555 3505586900 5328492088 6660615110 7011173800 13321230220 16651537775 26642460440 33303075550 66606151100 133212302200