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133120130 = 251113127733
BaseRepresentation
bin1111110111101…
…00000010000010
3100021111012111012
413323310002002
5233034321010
621113120522
73204334223
oct773640202
9307435435
10133120130
1169163140
12386b9142
132176ba10
141397324a
15ba48005
hex7ef4082

133120130 has 64 divisors (see below), whose sum is σ = 284110848. Its totient is φ = 44271360.

The previous prime is 133120103. The next prime is 133120133. The reversal of 133120130 is 31021331.

It is a super-2 number, since 2×1331201302 = 35441938022433800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133120133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181244 + ... + 181976.

It is an arithmetic number, because the mean of its divisors is an integer number (4439232).

Almost surely, 2133120130 is an apocalyptic number.

133120130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133120130 is an abundant number, since it is smaller than the sum of its proper divisors (150990718).

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

133120130 is a wasteful number, since it uses less digits than its factorization.

133120130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 133120130 is about 11537.7697151573. The cubic root of 133120130 is about 510.6005101198.

Adding to 133120130 its reverse (31021331), we get a palindrome (164141461).

It can be divided in two parts, 133120 and 130, that multiplied together give a square (17305600 = 41602).

The spelling of 133120130 in words is "one hundred thirty-three million, one hundred twenty thousand, one hundred thirty".

Divisors: 1 2 5 10 11 13 22 26 55 65 110 127 130 143 254 286 635 715 733 1270 1397 1430 1466 1651 2794 3302 3665 6985 7330 8063 8255 9529 13970 16126 16510 18161 19058 36322 40315 47645 80630 90805 93091 95290 104819 181610 186182 209638 465455 524095 930910 1024001 1048190 1210183 2048002 2420366 5120005 6050915 10240010 12101830 13312013 26624026 66560065 133120130