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133413522 = 231131197331
BaseRepresentation
bin1111111001110…
…11101010010010
3100022001002221120
413330323222102
5233123213042
621123303110
73206665464
oct774735222
9308032846
10133413522
1169343610
123881aa96
1321842418
1413a0c134
15baa4dec
hex7f3ba92

133413522 has 64 divisors (see below), whose sum is σ = 302911488. Its totient is φ = 38808000.

The previous prime is 133413517. The next prime is 133413551. The reversal of 133413522 is 225314331.

It is a junction number, because it is equal to n+sod(n) for n = 133413492 and 133413501.

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 31 ways as a sum of consecutive naturals, for example, 402897 + ... + 403227.

It is an arithmetic number, because the mean of its divisors is an integer number (4732992).

Almost surely, 2133413522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133413522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151455744).

133413522 is an abundant number, since it is smaller than the sum of its proper divisors (169497966).

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

133413522 is a wasteful number, since it uses less digits than its factorization.

133413522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575.

The product of its digits is 2160, while the sum is 24.

The square root of 133413522 is about 11550.4771330019. The cubic root of 133413522 is about 510.9753499572.

Adding to 133413522 its reverse (225314331), we get a palindrome (358727853).

The spelling of 133413522 in words is "one hundred thirty-three million, four hundred thirteen thousand, five hundred twenty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 197 331 341 394 591 662 682 993 1023 1182 1986 2046 2167 3641 4334 6107 6501 7282 10261 10923 12214 13002 18321 20522 21846 30783 36642 61566 65207 67177 112871 130414 134354 195621 201531 225742 338613 391242 403062 677226 717277 1434554 2021417 2151831 4042834 4303662 6064251 12128502 22235587 44471174 66706761 133413522