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133220010 = 235711101571
BaseRepresentation
bin1111111000011…
…00011010101010
3100021200021111110
413330030122222
5233101020020
621115211150
73205231350
oct774143252
9307607443
10133220010
1169221190
1238746ab6
13217a5311
141399b7d0
15ba678e0
hex7f0c6aa

133220010 has 128 divisors (see below), whose sum is σ = 403273728. Its totient is φ = 27360000.

The previous prime is 133219993. The next prime is 133220011. The reversal of 133220010 is 10022331.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (133220011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 233025 + ... + 233595.

It is an arithmetic number, because the mean of its divisors is an integer number (3150576).

Almost surely, 2133220010 is an apocalyptic number.

133220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201636864).

133220010 is an abundant number, since it is smaller than the sum of its proper divisors (270053718).

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

133220010 is a wasteful number, since it uses less digits than its factorization.

133220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 133220010 is about 11542.0972964189. The cubic root of 133220010 is about 510.7281793397.

Adding to 133220010 its reverse (10022331), we get a palindrome (143242341).

The spelling of 133220010 in words is "one hundred thirty-three million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 101 105 110 154 165 202 210 231 303 330 385 462 505 571 606 707 770 1010 1111 1142 1155 1414 1515 1713 2121 2222 2310 2855 3030 3333 3426 3535 3997 4242 5555 5710 6281 6666 7070 7777 7994 8565 10605 11110 11991 12562 15554 16665 17130 18843 19985 21210 23331 23982 31405 33330 37686 38885 39970 43967 46662 57671 59955 62810 77770 87934 94215 115342 116655 119910 131901 173013 188430 219835 233310 263802 288355 346026 403697 439670 576710 634381 659505 807394 865065 1211091 1268762 1319010 1730130 1903143 2018485 2422182 3171905 3806286 4036970 4440667 6055455 6343810 8881334 9515715 12110910 13322001 19031430 22203335 26644002 44406670 66610005 133220010