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133012220 = 225112397271
BaseRepresentation
bin1111110110110…
…01101011111100
3100021021201110112
413323121223330
5233022342340
621110525152
73203404505
oct773315374
9307251415
10133012220
116909a060
12386667b8
1321731873
1413945bac
15ba26065
hex7ed9afc

133012220 has 96 divisors (see below), whose sum is σ = 322430976. Its totient is φ = 45619200.

The previous prime is 133012213. The next prime is 133012223. The reversal of 133012220 is 22210331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 133012195 and 133012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133012223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490685 + ... + 490955.

It is an arithmetic number, because the mean of its divisors is an integer number (3358656).

Almost surely, 2133012220 is an apocalyptic number.

133012220 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 133012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161215488).

133012220 is an abundant number, since it is smaller than the sum of its proper divisors (189418756).

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

133012220 is a wasteful number, since it uses less digits than its factorization.

133012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 133012220 is about 11533.0923866932. The cubic root of 133012220 is about 510.4625049564.

Adding to 133012220 its reverse (22210331), we get a palindrome (155222551).

The spelling of 133012220 in words is "one hundred thirty-three million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 97 110 115 194 220 230 253 271 388 460 485 506 542 970 1012 1067 1084 1265 1355 1940 2134 2231 2530 2710 2981 4268 4462 5060 5335 5420 5962 6233 8924 10670 11155 11924 12466 14905 21340 22310 24541 24932 26287 29810 31165 44620 49082 52574 59620 62330 68563 98164 105148 122705 124660 131435 137126 245410 262870 274252 289157 342815 490820 525740 578314 604601 685630 1156628 1209202 1371260 1445785 2418404 2891570 3023005 5783140 6046010 6650611 12092020 13301222 26602444 33253055 66506110 133012220